gaussian            identity    normal_lpdf         identity_func       1   sigma   positive
gaussian            log         normal_lpdf         exp                 1   sigma   positive
gaussian            inverse     normal_lpdf         inv_func            1   sigma   positive
binomial            logit       bernoulli_lpmf      inv_logit           0
binomial            probit      bernoulli_lpmf      inv_Phi             0
binomial            cauchit     bernoulli_lpmf      inv_cauchit_func    0
binomial            log         bernoulli_lpmf      exp                 0
binomial            cloglog     bernoulli_lpmf      inv_cloglog         0
Gamma               inverse     Gamma_lpdf          inv_func            1   alpha   positive
Gamma               identity    Gamma_lpdf          identity_func       1   alpha   positive
Gamma               log         Gamma_lpdf          exp                 1   alpha   positive
poisson             log         poisson_lpmf        exp                 0
poisson             identity    poisson_lpmf        identity_func       0
poisson             sqrt        poisson_lpmf        square_func         0
inverse.gaussian    1/mu^2      inv_gaussian_lpdf   inv_square_func     1   lambda  real
inverse.gaussian    inverse     inv_gaussian_lpdf   inv_func            1   lambda  real
inverse.gaussian    identity    inv_gaussian_lpdf   identity_func       1   lambda  real
inverse.gaussian    log         inv_gaussian_lpdf   exp                 1   lambda  real
survival_Cox        identity    survival_Cox_lpdf   identity_func       1   theta   real
survival_AFT        identity    survival_AFT_lpdf   identity_func       1   sigma   positive

