Introducing Kth-order equilibrium Lindley distribution: Theory and application
This paper introduces the Kth-order Equilibrium Lindley Distribution (KELD), a new two-parameter probability model developed by applying the $Kth-order equilibrium transformation to the Lindley distribution. The motivation for proposing this model arises from the need for more flexible lifetime distributions capable of representing various hazard rate behaviors such as increasing, decreasing, and bathtub shaped (initially […]
The Harris extended power Lindley distribution: Properties, estimation, and real-world applications
This paper investigates properties of a new parametric distribution generated by the Harris extended family of distributions based on the power Lindley distribution. The probability density function can be decreased, unimodal, and right-skewed shaped. Some various statistical properties are derived including moments, generating function, incomplete moments, moment generating function, lower and upper incomplete moments, and […]
Bayesian and non-Bayesian analysis of the novel unit inverse exponentiated Lomax distribution using progressive censoring schemes with optimal scheme and data application
This article presents a novel unit distribution called the unit inverse exponentiated Lomax distribution. Some of its key characteristics are carefully examined. The distribution parameters are estimated using both traditional and Bayesian approaches, taking into account the progressive Type II censoring schemes. Using the symmetric loss function and the Markov chain Monte Carlo technique, the […]
On estimation of Tsallis entropy for exponentially distributed doubly type-II censored sample
Tsallis entropy, as a generalized measure of uncertainty, plays a vital role in characterizing complex systems exhibiting long-range dependence and non-extensive behaviour. We discuss the problem of affine equivariant estimation of Tsallis entropy for a two-parameter exponentially distributed doubly Type-II censored sample. The minimum risk equivariant estimator (MREE) is derived for the parametric function associated […]
Improved estimation based on ranked set sampling for the Chris-Jerry distribution with application to engineering data
A less expensive and time-consuming option to simple random sampling (SRS) is the ranked set (RSS). Frequently, the RSS method produces more accurate estimators than those employed by SRS. The Chris-Jerry distribution (C-JD) is a new heavy-tailed distribution that helps model many data in human endeavors. The flexibility of the C-JD in capturing various hazard […]