docs/quickstart.ipynb

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   "source": [
    "# Quickstart Guide\n",
    "\n",
    "Welcome to the **chainladder** quickstart guide.  This tutorial will walk you through basic functionality of the **chainladder** package.\n",
    "\n",
    "Import the package just like any other.  We will also include the popular pandas and numpy packages to complete this tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
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    {
     "name": "stderr",
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     "text": [
      "C:\\Users\\jboga\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    }
   ],
   "source": [
    "import chainladder as cl\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Loading data\n",
    "In order to use the functionality of the package, we need data.  Specifically, we need loss data that can be represented in triangle form.  The current release of **chainladder** does not include any data pre-processing functionality.  Instead it relies on data in the form of the popular **pandas.DataFrame**.  Data can be either tabular or already summarized in triangular form. \n",
    "\n",
    "The **chainladder** package comes pre-installed with a few generic datasets which we will access using the `load_dataset` function.  For the complete list, you can find them [here](Datasets.html).  We will be using the *Reinsurance Association of America* (RAA) triangle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
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       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
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       "    <tr>\n",
       "      <th>1981.0</th>\n",
       "      <td>5012</td>\n",
       "      <td>8269.0</td>\n",
       "      <td>10907.0</td>\n",
       "      <td>11805.0</td>\n",
       "      <td>13539.0</td>\n",
       "      <td>16181.0</td>\n",
       "      <td>18009.0</td>\n",
       "      <td>18608.0</td>\n",
       "      <td>18662.0</td>\n",
       "      <td>18834.0</td>\n",
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       "    <tr>\n",
       "      <th>1982.0</th>\n",
       "      <td>106</td>\n",
       "      <td>4285.0</td>\n",
       "      <td>5396.0</td>\n",
       "      <td>10666.0</td>\n",
       "      <td>13782.0</td>\n",
       "      <td>15599.0</td>\n",
       "      <td>15496.0</td>\n",
       "      <td>16169.0</td>\n",
       "      <td>16704.0</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1983.0</th>\n",
       "      <td>3410</td>\n",
       "      <td>8992.0</td>\n",
       "      <td>13873.0</td>\n",
       "      <td>16141.0</td>\n",
       "      <td>18735.0</td>\n",
       "      <td>22214.0</td>\n",
       "      <td>22863.0</td>\n",
       "      <td>23466.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1984.0</th>\n",
       "      <td>5655</td>\n",
       "      <td>11555.0</td>\n",
       "      <td>15766.0</td>\n",
       "      <td>21266.0</td>\n",
       "      <td>23425.0</td>\n",
       "      <td>26083.0</td>\n",
       "      <td>27067.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1985.0</th>\n",
       "      <td>1092</td>\n",
       "      <td>9565.0</td>\n",
       "      <td>15836.0</td>\n",
       "      <td>22169.0</td>\n",
       "      <td>25955.0</td>\n",
       "      <td>26180.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1986.0</th>\n",
       "      <td>1513</td>\n",
       "      <td>6445.0</td>\n",
       "      <td>11702.0</td>\n",
       "      <td>12935.0</td>\n",
       "      <td>15852.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987.0</th>\n",
       "      <td>557</td>\n",
       "      <td>4020.0</td>\n",
       "      <td>10946.0</td>\n",
       "      <td>12314.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1988.0</th>\n",
       "      <td>1351</td>\n",
       "      <td>6947.0</td>\n",
       "      <td>13112.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1989.0</th>\n",
       "      <td>3133</td>\n",
       "      <td>5395.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>1990.0</th>\n",
       "      <td>2063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "dev        1        2        3        4        5        6        7        8        9       10\n",
       "origin                                                                                       \n",
       "1981.0  5012   8269.0  10907.0  11805.0  13539.0  16181.0  18009.0  18608.0  18662.0  18834.0\n",
       "1982.0   106   4285.0   5396.0  10666.0  13782.0  15599.0  15496.0  16169.0  16704.0      NaN\n",
       "1983.0  3410   8992.0  13873.0  16141.0  18735.0  22214.0  22863.0  23466.0      NaN      NaN\n",
       "1984.0  5655  11555.0  15766.0  21266.0  23425.0  26083.0  27067.0      NaN      NaN      NaN\n",
       "1985.0  1092   9565.0  15836.0  22169.0  25955.0  26180.0      NaN      NaN      NaN      NaN\n",
       "1986.0  1513   6445.0  11702.0  12935.0  15852.0      NaN      NaN      NaN      NaN      NaN\n",
       "1987.0   557   4020.0  10946.0  12314.0      NaN      NaN      NaN      NaN      NaN      NaN\n",
       "1988.0  1351   6947.0  13112.0      NaN      NaN      NaN      NaN      NaN      NaN      NaN\n",
       "1989.0  3133   5395.0      NaN      NaN      NaN      NaN      NaN      NaN      NaN      NaN\n",
       "1990.0  2063      NaN      NaN      NaN      NaN      NaN      NaN      NaN      NaN      NaN"
      ]
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     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA = cl.load_dataset('RAA')\n",
    "RAA.round(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building our first triangle\n",
    "\n",
    "The RAA data is still just a DataFrame, and needs to be turned into a triangle object.  Once we do this, we can perform various calculations on the triangle, such as converting a cumulative triangle to incremental or or representing the data in tabular form.\n",
    "\n",
    "**Incremental triangle**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
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       "      <th>1981.0</th>\n",
       "      <td>5012</td>\n",
       "      <td>3257.0</td>\n",
       "      <td>2638.0</td>\n",
       "      <td>898.0</td>\n",
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       "      <td>2642.0</td>\n",
       "      <td>1828.0</td>\n",
       "      <td>599.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>172.0</td>\n",
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       "      <th>1982.0</th>\n",
       "      <td>106</td>\n",
       "      <td>4179.0</td>\n",
       "      <td>1111.0</td>\n",
       "      <td>5270.0</td>\n",
       "      <td>3116.0</td>\n",
       "      <td>1817.0</td>\n",
       "      <td>-103.0</td>\n",
       "      <td>673.0</td>\n",
       "      <td>535.0</td>\n",
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       "      <th>1983.0</th>\n",
       "      <td>3410</td>\n",
       "      <td>5582.0</td>\n",
       "      <td>4881.0</td>\n",
       "      <td>2268.0</td>\n",
       "      <td>2594.0</td>\n",
       "      <td>3479.0</td>\n",
       "      <td>649.0</td>\n",
       "      <td>603.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1984.0</th>\n",
       "      <td>5655</td>\n",
       "      <td>5900.0</td>\n",
       "      <td>4211.0</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>2159.0</td>\n",
       "      <td>2658.0</td>\n",
       "      <td>984.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1985.0</th>\n",
       "      <td>1092</td>\n",
       "      <td>8473.0</td>\n",
       "      <td>6271.0</td>\n",
       "      <td>6333.0</td>\n",
       "      <td>3786.0</td>\n",
       "      <td>225.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1986.0</th>\n",
       "      <td>1513</td>\n",
       "      <td>4932.0</td>\n",
       "      <td>5257.0</td>\n",
       "      <td>1233.0</td>\n",
       "      <td>2917.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987.0</th>\n",
       "      <td>557</td>\n",
       "      <td>3463.0</td>\n",
       "      <td>6926.0</td>\n",
       "      <td>1368.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1988.0</th>\n",
       "      <td>1351</td>\n",
       "      <td>5596.0</td>\n",
       "      <td>6165.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989.0</th>\n",
       "      <td>3133</td>\n",
       "      <td>2262.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>1990.0</th>\n",
       "      <td>2063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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      "text/plain": [
       "dev        1       2       3       4       5       6       7      8      9     10\n",
       "origin                                                                           \n",
       "1981.0  5012  3257.0  2638.0   898.0  1734.0  2642.0  1828.0  599.0   54.0  172.0\n",
       "1982.0   106  4179.0  1111.0  5270.0  3116.0  1817.0  -103.0  673.0  535.0    NaN\n",
       "1983.0  3410  5582.0  4881.0  2268.0  2594.0  3479.0   649.0  603.0    NaN    NaN\n",
       "1984.0  5655  5900.0  4211.0  5500.0  2159.0  2658.0   984.0    NaN    NaN    NaN\n",
       "1985.0  1092  8473.0  6271.0  6333.0  3786.0   225.0     NaN    NaN    NaN    NaN\n",
       "1986.0  1513  4932.0  5257.0  1233.0  2917.0     NaN     NaN    NaN    NaN    NaN\n",
       "1987.0   557  3463.0  6926.0  1368.0     NaN     NaN     NaN    NaN    NaN    NaN\n",
       "1988.0  1351  5596.0  6165.0     NaN     NaN     NaN     NaN    NaN    NaN    NaN\n",
       "1989.0  3133  2262.0     NaN     NaN     NaN     NaN     NaN    NaN    NaN    NaN\n",
       "1990.0  2063     NaN     NaN     NaN     NaN     NaN     NaN    NaN    NaN    NaN"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA_Triangle = cl.Triangle(RAA)\n",
    "RAA_Triangle.cum_to_incr()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Triangle in tabular form**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
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       "      <th>1981.0</th>\n",
       "      <td>1</td>\n",
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       "      <th>1982.0</th>\n",
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       "      <th>1984.0</th>\n",
       "      <td>1</td>\n",
       "      <td>5655.0</td>\n",
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       "      <th>1985.0</th>\n",
       "      <td>1</td>\n",
       "      <td>1092.0</td>\n",
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      "text/plain": [
       "        dev  values\n",
       "origin             \n",
       "1981.0    1  5012.0\n",
       "1982.0    1   106.0\n",
       "1983.0    1  3410.0\n",
       "1984.0    1  5655.0\n",
       "1985.0    1  1092.0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
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    }
   ],
   "source": [
    "RAA_Triangle.data_as_table().head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Performing chainladder calculations\n",
    "\n",
    "To use basic chainladder functionality, we will rely on the **ChainLadder** class.  This is a class that expands on the triangle class and includes features about loss development (*using chainladder techniques, of course*).  To create a chainladder object, you will need to supply a triangle object.\n",
    "\n",
    "From above, we will supply our RAA_Triangle object, and look at a quick age-to-age summary using the ata() method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1-2</th>\n",
       "      <th>2-3</th>\n",
       "      <th>3-4</th>\n",
       "      <th>4-5</th>\n",
       "      <th>5-6</th>\n",
       "      <th>6-7</th>\n",
       "      <th>7-8</th>\n",
       "      <th>8-9</th>\n",
       "      <th>9-10</th>\n",
       "      <th>10-Ult</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>origin</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1981.0</th>\n",
       "      <td>1.649840</td>\n",
       "      <td>1.319023</td>\n",
       "      <td>1.082332</td>\n",
       "      <td>1.146887</td>\n",
       "      <td>1.195140</td>\n",
       "      <td>1.112972</td>\n",
       "      <td>1.033261</td>\n",
       "      <td>1.002902</td>\n",
       "      <td>1.009217</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1982.0</th>\n",
       "      <td>40.424528</td>\n",
       "      <td>1.259277</td>\n",
       "      <td>1.976649</td>\n",
       "      <td>1.292143</td>\n",
       "      <td>1.131839</td>\n",
       "      <td>0.993397</td>\n",
       "      <td>1.043431</td>\n",
       "      <td>1.033088</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1983.0</th>\n",
       "      <td>2.636950</td>\n",
       "      <td>1.542816</td>\n",
       "      <td>1.163483</td>\n",
       "      <td>1.160709</td>\n",
       "      <td>1.185695</td>\n",
       "      <td>1.029216</td>\n",
       "      <td>1.026374</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1984.0</th>\n",
       "      <td>2.043324</td>\n",
       "      <td>1.364431</td>\n",
       "      <td>1.348852</td>\n",
       "      <td>1.101524</td>\n",
       "      <td>1.113469</td>\n",
       "      <td>1.037726</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1985.0</th>\n",
       "      <td>8.759158</td>\n",
       "      <td>1.655619</td>\n",
       "      <td>1.399912</td>\n",
       "      <td>1.170779</td>\n",
       "      <td>1.008669</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1986.0</th>\n",
       "      <td>4.259749</td>\n",
       "      <td>1.815671</td>\n",
       "      <td>1.105367</td>\n",
       "      <td>1.225512</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987.0</th>\n",
       "      <td>7.217235</td>\n",
       "      <td>2.722886</td>\n",
       "      <td>1.124977</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1988.0</th>\n",
       "      <td>5.142117</td>\n",
       "      <td>1.887433</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989.0</th>\n",
       "      <td>1.721992</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>simple</th>\n",
       "      <td>8.206099</td>\n",
       "      <td>1.695894</td>\n",
       "      <td>1.314510</td>\n",
       "      <td>1.182926</td>\n",
       "      <td>1.126962</td>\n",
       "      <td>1.043328</td>\n",
       "      <td>1.034355</td>\n",
       "      <td>1.017995</td>\n",
       "      <td>1.009217</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>vol-wtd</th>\n",
       "      <td>2.999359</td>\n",
       "      <td>1.623523</td>\n",
       "      <td>1.270888</td>\n",
       "      <td>1.171675</td>\n",
       "      <td>1.113385</td>\n",
       "      <td>1.041935</td>\n",
       "      <td>1.033264</td>\n",
       "      <td>1.016936</td>\n",
       "      <td>1.009217</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Selected</th>\n",
       "      <td>2.999359</td>\n",
       "      <td>1.623523</td>\n",
       "      <td>1.270888</td>\n",
       "      <td>1.171675</td>\n",
       "      <td>1.113385</td>\n",
       "      <td>1.041935</td>\n",
       "      <td>1.033264</td>\n",
       "      <td>1.016936</td>\n",
       "      <td>1.009217</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                1-2       2-3       3-4       4-5       5-6       6-7       7-8       8-9      9-10  10-Ult\n",
       "origin                                                                                                     \n",
       "1981.0     1.649840  1.319023  1.082332  1.146887  1.195140  1.112972  1.033261  1.002902  1.009217     NaN\n",
       "1982.0    40.424528  1.259277  1.976649  1.292143  1.131839  0.993397  1.043431  1.033088       NaN     NaN\n",
       "1983.0     2.636950  1.542816  1.163483  1.160709  1.185695  1.029216  1.026374       NaN       NaN     NaN\n",
       "1984.0     2.043324  1.364431  1.348852  1.101524  1.113469  1.037726       NaN       NaN       NaN     NaN\n",
       "1985.0     8.759158  1.655619  1.399912  1.170779  1.008669       NaN       NaN       NaN       NaN     NaN\n",
       "1986.0     4.259749  1.815671  1.105367  1.225512       NaN       NaN       NaN       NaN       NaN     NaN\n",
       "1987.0     7.217235  2.722886  1.124977       NaN       NaN       NaN       NaN       NaN       NaN     NaN\n",
       "1988.0     5.142117  1.887433       NaN       NaN       NaN       NaN       NaN       NaN       NaN     NaN\n",
       "1989.0     1.721992       NaN       NaN       NaN       NaN       NaN       NaN       NaN       NaN     NaN\n",
       "simple     8.206099  1.695894  1.314510  1.182926  1.126962  1.043328  1.034355  1.017995  1.009217     1.0\n",
       "vol-wtd    2.999359  1.623523  1.270888  1.171675  1.113385  1.041935  1.033264  1.016936  1.009217     1.0\n",
       "Selected   2.999359  1.623523  1.270888  1.171675  1.113385  1.041935  1.033264  1.016936  1.009217     1.0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA_CL = cl.Chainladder(RAA_Triangle)\n",
    "RAA_CL.age_to_age()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ChainLadder class has a parameter delta.  This is described by Barnett/Zenwirth, and the default value is 1 and corresponds to a volume-weighted loss development factor (LDF) pick.\n",
    "\n",
    "You can directly play with the chainladder model attributes to get things such as ldfs, cdfs, and complete triangles.\n",
    "\n",
    "**LDF**s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1-2       2.999359\n",
       "2-3       1.623523\n",
       "3-4       1.270888\n",
       "4-5       1.171675\n",
       "5-6       1.113385\n",
       "6-7       1.041935\n",
       "7-8       1.033264\n",
       "8-9       1.016936\n",
       "9-10      1.009217\n",
       "10-Ult    1.000000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA_CL.LDF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**CDF**s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1-2       8.920234\n",
       "2-3       2.974047\n",
       "3-4       1.831848\n",
       "4-5       1.441392\n",
       "5-6       1.230198\n",
       "6-7       1.104917\n",
       "7-8       1.060448\n",
       "8-9       1.026309\n",
       "9-10      1.009217\n",
       "10-Ult    1.000000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA_CL.CDF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Completed Triangle**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
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       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>dev</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>Ult</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>origin</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1981.0</th>\n",
       "      <td>5012</td>\n",
       "      <td>8269.0</td>\n",
       "      <td>10907.0</td>\n",
       "      <td>11805.0</td>\n",
       "      <td>13539.0</td>\n",
       "      <td>16181.0</td>\n",
       "      <td>18009.0</td>\n",
       "      <td>18608.0</td>\n",
       "      <td>18662.0</td>\n",
       "      <td>18834.0</td>\n",
       "      <td>18834.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1982.0</th>\n",
       "      <td>106</td>\n",
       "      <td>4285.0</td>\n",
       "      <td>5396.0</td>\n",
       "      <td>10666.0</td>\n",
       "      <td>13782.0</td>\n",
       "      <td>15599.0</td>\n",
       "      <td>15496.0</td>\n",
       "      <td>16169.0</td>\n",
       "      <td>16704.0</td>\n",
       "      <td>16858.0</td>\n",
       "      <td>16858.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1983.0</th>\n",
       "      <td>3410</td>\n",
       "      <td>8992.0</td>\n",
       "      <td>13873.0</td>\n",
       "      <td>16141.0</td>\n",
       "      <td>18735.0</td>\n",
       "      <td>22214.0</td>\n",
       "      <td>22863.0</td>\n",
       "      <td>23466.0</td>\n",
       "      <td>23863.0</td>\n",
       "      <td>24083.0</td>\n",
       "      <td>24083.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1984.0</th>\n",
       "      <td>5655</td>\n",
       "      <td>11555.0</td>\n",
       "      <td>15766.0</td>\n",
       "      <td>21266.0</td>\n",
       "      <td>23425.0</td>\n",
       "      <td>26083.0</td>\n",
       "      <td>27067.0</td>\n",
       "      <td>27967.0</td>\n",
       "      <td>28441.0</td>\n",
       "      <td>28703.0</td>\n",
       "      <td>28703.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1985.0</th>\n",
       "      <td>1092</td>\n",
       "      <td>9565.0</td>\n",
       "      <td>15836.0</td>\n",
       "      <td>22169.0</td>\n",
       "      <td>25955.0</td>\n",
       "      <td>26180.0</td>\n",
       "      <td>27278.0</td>\n",
       "      <td>28185.0</td>\n",
       "      <td>28663.0</td>\n",
       "      <td>28927.0</td>\n",
       "      <td>28927.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1986.0</th>\n",
       "      <td>1513</td>\n",
       "      <td>6445.0</td>\n",
       "      <td>11702.0</td>\n",
       "      <td>12935.0</td>\n",
       "      <td>15852.0</td>\n",
       "      <td>17649.0</td>\n",
       "      <td>18389.0</td>\n",
       "      <td>19001.0</td>\n",
       "      <td>19323.0</td>\n",
       "      <td>19501.0</td>\n",
       "      <td>19501.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987.0</th>\n",
       "      <td>557</td>\n",
       "      <td>4020.0</td>\n",
       "      <td>10946.0</td>\n",
       "      <td>12314.0</td>\n",
       "      <td>14428.0</td>\n",
       "      <td>16064.0</td>\n",
       "      <td>16738.0</td>\n",
       "      <td>17294.0</td>\n",
       "      <td>17587.0</td>\n",
       "      <td>17749.0</td>\n",
       "      <td>17749.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1988.0</th>\n",
       "      <td>1351</td>\n",
       "      <td>6947.0</td>\n",
       "      <td>13112.0</td>\n",
       "      <td>16664.0</td>\n",
       "      <td>19525.0</td>\n",
       "      <td>21738.0</td>\n",
       "      <td>22650.0</td>\n",
       "      <td>23403.0</td>\n",
       "      <td>23800.0</td>\n",
       "      <td>24019.0</td>\n",
       "      <td>24019.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989.0</th>\n",
       "      <td>3133</td>\n",
       "      <td>5395.0</td>\n",
       "      <td>8759.0</td>\n",
       "      <td>11132.0</td>\n",
       "      <td>13043.0</td>\n",
       "      <td>14521.0</td>\n",
       "      <td>15130.0</td>\n",
       "      <td>15634.0</td>\n",
       "      <td>15898.0</td>\n",
       "      <td>16045.0</td>\n",
       "      <td>16045.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990.0</th>\n",
       "      <td>2063</td>\n",
       "      <td>6188.0</td>\n",
       "      <td>10046.0</td>\n",
       "      <td>12767.0</td>\n",
       "      <td>14959.0</td>\n",
       "      <td>16655.0</td>\n",
       "      <td>17353.0</td>\n",
       "      <td>17931.0</td>\n",
       "      <td>18234.0</td>\n",
       "      <td>18402.0</td>\n",
       "      <td>18402.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "dev        1        2        3        4        5        6        7        8        9       10      Ult\n",
       "origin                                                                                                \n",
       "1981.0  5012   8269.0  10907.0  11805.0  13539.0  16181.0  18009.0  18608.0  18662.0  18834.0  18834.0\n",
       "1982.0   106   4285.0   5396.0  10666.0  13782.0  15599.0  15496.0  16169.0  16704.0  16858.0  16858.0\n",
       "1983.0  3410   8992.0  13873.0  16141.0  18735.0  22214.0  22863.0  23466.0  23863.0  24083.0  24083.0\n",
       "1984.0  5655  11555.0  15766.0  21266.0  23425.0  26083.0  27067.0  27967.0  28441.0  28703.0  28703.0\n",
       "1985.0  1092   9565.0  15836.0  22169.0  25955.0  26180.0  27278.0  28185.0  28663.0  28927.0  28927.0\n",
       "1986.0  1513   6445.0  11702.0  12935.0  15852.0  17649.0  18389.0  19001.0  19323.0  19501.0  19501.0\n",
       "1987.0   557   4020.0  10946.0  12314.0  14428.0  16064.0  16738.0  17294.0  17587.0  17749.0  17749.0\n",
       "1988.0  1351   6947.0  13112.0  16664.0  19525.0  21738.0  22650.0  23403.0  23800.0  24019.0  24019.0\n",
       "1989.0  3133   5395.0   8759.0  11132.0  13043.0  14521.0  15130.0  15634.0  15898.0  16045.0  16045.0\n",
       "1990.0  2063   6188.0  10046.0  12767.0  14959.0  16655.0  17353.0  17931.0  18234.0  18402.0  18402.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RAA_CL.full_triangle.round(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conclusion\n",
    "Well done on getting through the quickstart tutorial where we've covered basic triangle data and chainladder functionality.  A more generalized framework to the Chainladder class is the MackChainLadder class which we will review in the next example."
   ]
  }
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