#' BivLaplaceRL: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
#' Measures in Reliability
#'
#' @description
#' \pkg{BivLaplaceRL} provides a unified framework for three interconnected
#' research themes in reliability analysis and survival theory:
#'
#' \strong{1. Bivariate Laplace Transform of Residual Lives}
#'
#' Implements the vector Laplace transform of bivariate residual lives
#' \eqn{(L_{X_{t_1|t_2}}(s_1),\,L_{X_{t_2|t_1}}(s_2))}, the associated
#' stochastic ordering BLt-rl, and its relationships with the weak bivariate
#' hazard rate order, weak bivariate mean residual life order, and bivariate
#' relative mean residual life order.  Nonparametric estimation and NBUHR/NWUHR
#' aging class tests are included.
#' Reference: Jayalekshmi, Rajesh, and Nair (2022)
#' \doi{10.1080/03610926.2022.2085874}.
#'
#' \strong{2. Bivariate Laplace Transform of Reversed Residual Lives}
#'
#' Implements the bivariate Laplace transform of reversed (past) residual lives,
#' the BLt-Rrl stochastic order, and connections with weak bivariate reversed
#' hazard rate and reversed mean residual life orders.
#'
#' \strong{3. Residual Entropy Generating Function}
#'
#' Implements the dynamic information generating function (REGF), the residual
#' entropy of Ebrahimi and Pellerey (1995), Golomb's (1966) information
#' generating function, and nonparametric estimation of REGF with Monte-Carlo
#' simulation support.
#'
#' @section Parametric families:
#' Gumbel bivariate exponential, Farlie-Gumbel-Morgenstern (FGM), bivariate
#' power, Schur-constant, and exponential distributions are built in.
#'
#' @section Plotting:
#' \code{\link{plot_blt_residual}}, \code{\link{plot_blt_reversed}}, and
#' \code{\link{plot_regf}} provide ready-made visualisations.
#'
#' @references
#' Jayalekshmi S., Rajesh G., Nair N.U. (2022). Bivariate Laplace transform of
#' residual lives and their properties. *Communications in Statistics - Theory
#' and Methods*. \doi{10.1080/03610926.2022.2085874}
#'
#' Jayalekshmi S., Rajesh G. Bivariate Laplace transform order and ordering of
#' reversed residual lives. *International Journal of Reliability, Quality and
#' Safety Engineering*.
#'
#' Smitha S., Rajesh G., Jayalekshmi S. (2024). On residual entropy generating
#' function. *Journal of the Indian Statistical Association*, 62(1), 81--93.
#'
#' Belzunce F., Ortega E., Ruiz J.M. (1999). The Laplace order and ordering of
#' residual lives. *Statistics & Probability Letters*, 42(2), 145--156.
#'
#' Ebrahimi N., Pellerey F. (1995). New partial ordering of survival functions
#' based on the notion of uncertainty. *Journal of Applied Probability*, 32(1),
#' 202--211.
#'
#' Golomb S.W. (1966). The information generating function of a probability
#' distribution. *IEEE Transactions on Information Theory*, 12(1), 75--77.
#'
#' @docType package
#' @name BivLaplaceRL-package
#' @aliases BivLaplaceRL
"_PACKAGE"
