Implement missing `cdf`/`lcdf`/`lccdf` functions for distributions

Description

This is a checklist of all _cdf, _lcdf and _lccdf functions that are not implemented for their _lpdf and _lpmf counterparts.

I am not sure all of them make sense or are even something we would want to implement, I am just listing all of the theoretically missing. If someone has insight, please comment and we can remove any of them.

• bernoulli_logit_glm_cdf, bernoulli_logit_glm_cdf_lcdf, bernoulli_logit_glm_cdf_lccdf
• bernoulli_logit_cdf, bernoulli_logit_lcdf, bernoulli_logit_lccdf
• beta_proportion_cdf
• binomial_logit_cdf, binomial_logit_lcdf, binomial_logit_lccdf
• categorical_logit_glm_cdf, categorical_logit_glm_lcdf, categorical_logit_glm_lccdf
• categorical_logit_cdf, categorical_logit_lcdf, categorical_logit_lccdf
• categorical_cdf, categorical_lccdf, categorical_lccdf
• dirichlet_cdf, dirichlet_lcdf, dirichlet_lccdf
• gaussian_dlm_obs_cdf, gaussian_dlm_obs_lcdf, gaussian_dlm_obs_lcccdf
• hypergeometric_cdf, hypergeometric_lcdf, hypergeometric_lccdf
• inv_wishart_cdf, inv_wishart_lcdf, inv_wishart_lccdf
• lkj_corr_cholesky_cdf, lkj_corr_cholesky_lcdf, lkj_corr_cholesky_lccdf
• lkj_corr_cdf, lkj_corr_lcdf, lkj_corr_lccdf
• loglogistic_lcdf, loglogistic_lccdf
• neg_binomial_2_log_glm_cdf, neg_binomial_2_log_glm_lcdf, neg_binomial_2_log_glm_lccdf
• neg_binomial_2_log_cdf, neg_binomial_2_log_lcdf, neg_binomial_2_log_lccdf
• normal_id_glm_cdf, normal_id_glm_lcdf, normal_id_glm_lccdf
• ordered_logistic_glm_cdf, ordered_logistic_glm_lcdf, ordered_logistic_glm_lccdf
• ordered_logistic_cdf, ordered_logistic_lcdf, ordered_logistic_lccdf
• ordered_probit_cdf, ordered_probit_lcdf, ordered_probit_lccdf
• poisson_log_glm_cdf, poisson_log_glm_lcdf, poisson_log_glm_lccdf
• poisson_log_cdf, poisson_log_lcdf, poisson_log_clcdf
• wiener_cdf, wiener_lcdf, wiener_lccdf
• wishart_cdf, wishart_lcdf, wishart_lccdf

loglogistic and beta_proportion are the only two where cdfs are partially supported, the rest of them have no cdf functions implemented.

Current Version:

v4.2.1

The issue names a broad checklist of missing CDF, LCDF, and LCCDF functions but provides no files, entry points, or tests. Start by reviewing the existing _lpdf and _lpmf counterparts for one distribution and confirming which requested functions are appropriate. Done requires an agreed subset of checklist items to be implemented and validated.