@@ -219,6 +219,22 @@ The arguments required to compute this likelihood are:
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* ` y_index ` : an array whose $i^\text{th}$ element indicates to which
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group the $i^\text{th}$ observation belongs to.
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+ <!-- real; laplace_marginal_poisson_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ poisson\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_poisson_log ` ** ` (y_index, theta0, K_function, (...)) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_poisson_log_lupmf(y | y_index, theta0, K_function, (...)) ` .
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+ {{< since 2.37 >}}
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+
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+ <!-- real; laplace_marginal_tol_poisson_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ poisson\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_tol_poisson_log ` ** ` (y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_tol_poisson_log_lupmf(y | y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` .
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+ {{< since 2.37 >}}
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+
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The signatures for the embedded Laplace approximation function with a Poisson
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likelihood are
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@@ -259,6 +275,24 @@ to the rate parameter of the Poisson. The likelihood is then,
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$$
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p(y \mid \theta, \phi) = \prod_i\text{Poisson} (y_i \mid \exp(\theta_{g(i)}) x_i).
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$$
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+
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+ <!-- real; laplace_marginal_poisson_2_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ poisson\_ 2\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_poisson_2_log ` ** ` (y_index, x, theta0, K_function, (...)) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_poisson_2_log_lupmf(y | y_index, x, theta0, K_function, (...)) ` .
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+ {{< since 2.37 >}}
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+
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+ <!-- real; laplace_marginal_tol_poisson_2_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ poisson\_ 2\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_tol_poisson_2_log ` ** ` (y_index, x, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_tol_poisson_2_log_lupmf(y | y_index, x, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` .
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+ {{< since 2.37 >}}
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+
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+
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The signatures for this function are:
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<!-- real; laplace_marginal_poisson_2_log_lpmf; (array[] int y | array[] int y_index, vector x, vector theta0, function K_function, tuple(...)); -->
@@ -313,6 +347,23 @@ The arguments for the likelihood function are:
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group the $i^\text{th}$ observation belongs to.
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* ` eta ` : the overdispersion parameter.
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+ <!-- real; laplace_marginal_neg_binomial_2_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ neg\_ binomial\_ 2\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_neg_binomial_2_log ` ** ` (y_index, eta, theta0, K_function, (...)) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_neg_binomial_2_log_lupmf(y | y_index, eta, theta0, K_function, (...)) ` .
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+ {{< since 2.37 >}}
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+
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+ <!-- real; laplace_marginal_tol_neg_binomial_2_log ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ neg\_ binomial\_ 2\_ log }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_tol_neg_binomial_2_log ` ** ` (y_index, eta, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_tol_neg_binomial_2_log_lupmf(y | y_index, eta, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` .
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+ {{< since 2.37 >}}
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+
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+
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The function signatures for the embedded Laplace approximation with a negative
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Binomial likelihood are
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<!-- real; laplace_marginal_neg_binomial_2_log_lpmf; (array[] int y | array[] int y_index, real eta, vector theta0, function K_function, tuple(...)); -->
@@ -359,6 +410,23 @@ The arguments of the likelihood function are:
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* ` y_index ` : an array whose $i^\text{th}$ element indicates to which
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group the $i^\text{th}$ observation belongs to.
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+ <!-- real; laplace_marginal_bernoulli_logit ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ bernoulli\_ logit }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_bernoulli_logit ` ** ` (y_index, theta0, K_function, (...)) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_bernoulli_logit_lupmf(y | y_index, theta0, K_function, (...)) ` .
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+ {{< since 2.37 >}}
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+
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+ <!-- real; laplace_marginal_tol_bernoulli_logit ~; -->
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+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ bernoulli\_ logit }!sampling statement|hyperpage}
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+
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+ ` y ~ ` ** ` laplace_marginal_tol_bernoulli_logit ` ** ` (y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
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+
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+ Increment target log probability density with ` laplace_marginal_tol_bernoulli_logit_lupmf(y | y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` .
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+ {{< since 2.37 >}}
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+
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+
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The function signatures for the embedded Laplace approximation with a Bernoulli likelihood are
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<!-- real; laplace_marginal_bernoulli_logit_lpmf; (array[] int y | array[] int y_index, vector theta0, function K_function, tuple(...)); -->
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