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 […]
A new probability Chen model: Properties, risk analysis and distributions validation for testing using the right censored real data
This paper introduces and explores a new flexible probability distribution called the BXGZC model, with a focus on its properties, applications in actuarial risk analysis, and validation using real-world right-censored data. The proposed model builds upon the Chen distribution, offering enhanced adaptability for modeling both positively and negatively skewed da-tasets commonly encountered in insurance and […]
Study on an Extension to Lindley Distribution: Statistical Properties, Estimation and Simulation
Recently, Nedjar and Zeghdoudi [6] proposed a new lifetime model called gamma Lindley distribution. Roozegar and Nadarajah [8] introduced some notes around gamma Lindley distribution including only some statistical properties and estimations depending on the same probability density function which proposed by Nedjar and Zeghdoudi [6]. In fact, the model proposed by Nedjar and Zeghdoudi […]
Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution
The ”Akshaya distribution” is a model one-parameter continuous distribution that has been proposed by [15] for modelling lifetime data from biological research and engineering. This paper presents both the classical and Bayesian estimation methods for the Akshaya’s parameter. The model parameter is determined using the weighted least square estimation (WLSE), least square estimation(LSE), Cramer-von-Mises estimation(CVME), […]
Application of Environmental Data with New Extension of Nadarajah-Haghighi Distribution
The sin extension of the exponential (SExEx) or sin Nadarajah-Haghighi (SNH) distribution, a new extension of the exponential distribution with two parameters, is introduced and studied in this paper. For the SNH distribution, the hazard, survival functions and some sumarized data are explored. Methods for estimating the SNH distribution parameters using maximum likelihood estimation (MLE) […]
Moments of Dual Generalized Order Statistics and Characterization for Transmuted Exponential Model
The relationships for moments of dual generalized order statistics (DGOS) for a transmuted exponential (TEx) model are given in this study. These relations are useful when determining the single and product moments of DGOS for a TEx model recursively. Some expressions for recursive computation of moments for special cases of DGOS from a TEx model […]