The generalization of the classical distributions is an old practice and has been considered
as precious as many other practical problems in statistics. These generalizations started with …

This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy
family using half logistic distribution as a baseline model named as Kumaraswamy half …

The contributed R package Newdistns written by the authors is introduced. This package
computes the probability density function, cumulative distribution function, quantile function …

In this paper, we consider the estimation of the probability density function and the
cumulative distribution function of the inverse Rayleigh distribution. In this regard, the …

The analysis of lifetime data has become a popular topic in many fields such as engineering,
medicine and social science. In this study, the Lindley-Rayleigh (LR) distribution is proposed …

In this paper, differential calculus was used to obtain the ordinary differential equations
(ODE) of the probability density function (PDF), Quantile function (QF), survival function (SF) …

Modeling of a cure fraction, also known as long-term survivors, is a part of survival analysis.
It studies cases where supposedly there are observations not susceptible to the event of …

Whenever approximate and initial information about the unknown parameter of a distribution
is available, the shrinkage estimation method can be used to estimate it. In this paper, first …

A new R contributed package written by the authors is introduced. This package computes
the probability density function, cumulative distribution function, quantile function, random …