[Retracted] Classical and Bayesian Inference of Marshall‐Olkin Extended Gompertz Makeham Model with Modeling of Physics Data

Abstract

The purpose of this study is to present the Marshall- Olkin extended Gompertz Makeham MOEGM lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the model parameters, and it is well known that likelihood estimators for unknown parameters are not always available. As a result, we examine the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to the squared error loss function. A Monte Carlo simulation research is carried out to examine the performance of the likelihood estimators and the Bayesian technique. Finally, we demonstrate the significance of the new model. And to conclude, we illustrate the importance of the new model by exploring some of the empirical applications of physics to show it’s flexibility and potentiality of a new model.

A new Topp-Leone Kumaraswamy Marshall-Olkin generated family of distributions with applications

“…In this article, we will discuss a newly developed broad family of distributions that was produced by mixing the Topp-Leone distribution [1] , with other distributions as the Generated families of Kumaraswamy [2] , Kumaraswamy censored model [3] and Marshall-Olkin [4] . Typical instances of this family of distributions include the Marshall-Olkin Topp Leone-G [5] , [6] , type II half logistic [7] , exponentiated generalized Topp-Leone-G [8] , Garhy-G [9] , half-logistic odd Weibull-Topp-Leone-G [10] , truncated inverted Kumaraswamy-G [11] , Topp-Leone Kumaraswamy-G [12] , odd log-logistic Poisson-G [13] , Kumaraswamy-G [14] , type II power Topp-Leone-G [15] , Fréchet Topp-Leone-G [16] , Topp-Leone Gompertz-G [17] , Topp-Leone odd Lindley-G [18] , type II Topp-Leone-G [19] , Topp–Leone modified Weibull [20] , Marshall-Olkin extended Gompertz Makeham [21] , Marshall Olkin alpha power extended Weibull [22] , Marshall-Olkin alpha power inverse Weibull [23] , Marshall-Olkin alpha power Lomax [24] , [25] , a generalized Birnbaum-Saunders distribution [26] , Topp–Leone modified Weibull model [20] , a new version of Topp–Leone distribution with engineering applications [27] , reliability analysis of exponential distributions [28] , Marshall-Olkin improved Rayleigh distribution [29] , [30] . Some authors worked on Bayesian inferences such as [31] and a comprehensive study of lognormality tests [32] .…”

Retracted: Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data

“…Tis article has been retracted by Hindawi following an investigation undertaken by the publisher [1]. Tis investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process:…”