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#' @title Gompertz Distribution
#'
#' @description The Gompertz distribution is a distribution with support on the positive real line that is closely
#' related to the Gumbel distribution. This implementation follows the notation used in the Wikipedia
#' entry for the Gompertz distribution. See https://en.wikipedia.org/wiki/Gompertz_distribution.
#' @param concentration A positive numeric vector, matrix, or array representing the concentration parameter.
#' @param rate A positive numeric vector, matrix, or array representing the rate parameter.
#' @param shape A numeric vector representing the shape parameter.
#' @param event Integer representing the number of batch dimensions to reinterpret as event dimensions.
#' @param mask A boolean vector, matrix, or array representing an optional mask for observations.
#' @param create_obj Logical value. If `TRUE`, returns the raw BI distribution object instead of creating a sample site.
#' @param validate_args Logical: Whether to validate parameter values. Defaults to `reticulate::py_none()`.
#' @param sample A logical value that controls the function's behavior. If `TRUE`,
#' the function will directly draw samples from the distribution. If `FALSE`,
#' it will create a random variable within a model. Defaults to `FALSE`.
#' @param seed An integer used to set the random seed for reproducibility when
#' `sample = TRUE`. This argument has no effect when `sample = FALSE`, as
#' randomness is handled by the model's inference engine. Defaults to 0.
#' @param obs A numeric vector or array of observed values. If provided, the
#' random variable is conditioned on these values. If `NULL`, the variable is
#' treated as a latent (unobserved) variable. Defaults to `NULL`.
#' @param name A character string representing the name of the random variable
#' within a model. This is used to uniquely identify the variable. Defaults to 'x'.
#' @param to_jax Boolean. Indicates whether to return a JAX array or not.
#'
#' @return
#' A BI Gompertz distribution object when \code{sample=FALSE} (for model building).
#'
#' A JAX array when \code{sample=TRUE} (for direct sampling).
#'
#' A BI distribution object when \code{create_obj=TRUE} (for advanced use cases).
#'
#' @seealso This is a wrapper of \url{https://num.pyro.ai/en/stable/distributions.html#gompertz}
#'
#' @examples
#' \donttest{
#' library(BayesForge)
#' m=importBF(platform='cpu')
#' bf.dist.gompertz(concentration = 5., sample = TRUE)
#' }
#' @export
bf.dist.gompertz=function(concentration, rate=1.0, validate_args=py_none(), name='x', obs=py_none(), mask=py_none(), sample=FALSE, seed = py_none(), shape=c(), event=0, create_obj=FALSE, to_jax = TRUE) {
shape=do.call(tuple, as.list(as.integer(shape)))
if (!.BF_env$.py$is_none(seed)){seed=as.integer(seed);}
.BF_env$.bf_instance$dist$gompertz(
concentration = .BF_env$jnp$array(concentration),
rate = .BF_env$jnp$array(rate),
validate_args= validate_args, name= name, obs= obs, mask= mask, sample= sample, seed= seed, shape= shape, event= event, create_obj= create_obj, to_jax = to_jax)
}
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