@@ -219,6 +219,22 @@ The arguments required to compute this likelihood are:
219219* ` y_index ` : an array whose $i^\text{th}$ element indicates to which
220220group the $i^\text{th}$ observation belongs to.
221221
222+ <!-- real; laplace_marginal_poisson_log ~; -->
223+ \index{{\tt \bfseries laplace\_ marginal\_ poisson\_ log }!sampling statement|hyperpage}
224+
225+ ` y ~ ` ** ` laplace_marginal_poisson_log ` ** ` (y_index, theta0, K_function, (...)) ` <br >\newline
226+
227+ Increment target log probability density with ` laplace_marginal_poisson_log_lupmf(y | y_index, theta0, K_function, (...)) ` .
228+ {{< since 2.37 >}}
229+
230+ <!-- real; laplace_marginal_tol_poisson_log ~; -->
231+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ poisson\_ log }!sampling statement|hyperpage}
232+
233+ ` y ~ ` ** ` laplace_marginal_tol_poisson_log ` ** ` (y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
234+
235+ 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) ` .
236+ {{< since 2.37 >}}
237+
222238The signatures for the embedded Laplace approximation function with a Poisson
223239likelihood are
224240
@@ -259,6 +275,24 @@ to the rate parameter of the Poisson. The likelihood is then,
259275$$
260276p(y \mid \theta, \phi) = \prod_i\text{Poisson} (y_i \mid \exp(\theta_{g(i)}) x_i).
261277$$
278+
279+ <!-- real; laplace_marginal_poisson_2_log ~; -->
280+ \index{{\tt \bfseries laplace\_ marginal\_ poisson\_ 2\_ log }!sampling statement|hyperpage}
281+
282+ ` y ~ ` ** ` laplace_marginal_poisson_2_log ` ** ` (y_index, x, theta0, K_function, (...)) ` <br >\newline
283+
284+ Increment target log probability density with ` laplace_marginal_poisson_2_log_lupmf(y | y_index, x, theta0, K_function, (...)) ` .
285+ {{< since 2.37 >}}
286+
287+ <!-- real; laplace_marginal_tol_poisson_2_log ~; -->
288+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ poisson\_ 2\_ log }!sampling statement|hyperpage}
289+
290+ ` 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
291+
292+ 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) ` .
293+ {{< since 2.37 >}}
294+
295+
262296The signatures for this function are:
263297
264298<!-- 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:
313347group the $i^\text{th}$ observation belongs to.
314348* ` eta ` : the overdispersion parameter.
315349
350+ <!-- real; laplace_marginal_neg_binomial_2_log ~; -->
351+ \index{{\tt \bfseries laplace\_ marginal\_ neg\_ binomial\_ 2\_ log }!sampling statement|hyperpage}
352+
353+ ` y ~ ` ** ` laplace_marginal_neg_binomial_2_log ` ** ` (y_index, eta, theta0, K_function, (...)) ` <br >\newline
354+
355+ Increment target log probability density with ` laplace_marginal_neg_binomial_2_log_lupmf(y | y_index, eta, theta0, K_function, (...)) ` .
356+ {{< since 2.37 >}}
357+
358+ <!-- real; laplace_marginal_tol_neg_binomial_2_log ~; -->
359+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ neg\_ binomial\_ 2\_ log }!sampling statement|hyperpage}
360+
361+ ` 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
362+
363+ 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) ` .
364+ {{< since 2.37 >}}
365+
366+
316367The function signatures for the embedded Laplace approximation with a negative
317368Binomial likelihood are
318369<!-- 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:
359410* ` y_index ` : an array whose $i^\text{th}$ element indicates to which
360411group the $i^\text{th}$ observation belongs to.
361412
413+ <!-- real; laplace_marginal_bernoulli_logit ~; -->
414+ \index{{\tt \bfseries laplace\_ marginal\_ bernoulli\_ logit }!sampling statement|hyperpage}
415+
416+ ` y ~ ` ** ` laplace_marginal_bernoulli_logit ` ** ` (y_index, theta0, K_function, (...)) ` <br >\newline
417+
418+ Increment target log probability density with ` laplace_marginal_bernoulli_logit_lupmf(y | y_index, theta0, K_function, (...)) ` .
419+ {{< since 2.37 >}}
420+
421+ <!-- real; laplace_marginal_tol_bernoulli_logit ~; -->
422+ \index{{\tt \bfseries laplace\_ marginal\_ tol\_ bernoulli\_ logit }!sampling statement|hyperpage}
423+
424+ ` y ~ ` ** ` laplace_marginal_tol_bernoulli_logit ` ** ` (y_index, theta0, K_function, (...), tol, max_steps, hessian_block_size, solver, max_steps_linesearch) ` <br >\newline
425+
426+ 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) ` .
427+ {{< since 2.37 >}}
428+
429+
362430The function signatures for the embedded Laplace approximation with a Bernoulli likelihood are
363431
364432<!-- real; laplace_marginal_bernoulli_logit_lpmf; (array[] int y | array[] int y_index, vector theta0, function K_function, tuple(...)); -->
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