Study of the Left Censored Data from the Gumbel Type II Distribution under a Bayesian Approach

Abstract

Based on left type II censored samples from a Gumbel type II distribution, the Bayes estimators and corresponding risks of the unknown parameter were obtained under different asymmetric loss functions, assuming different informative and non-informative priors. Elicitation of hyper-parameters through prior predictive approach has also been discussed. The expressions for the credible intervals and posterior predictive distributions have been derived. Comparisons of these estimators are made through simulation study using numerical and graphical methods.

Exponentiated transformation of Gumbel Type-II distribution for modeling COVID-19 data

“…Thus, current study is aimed to propose a new model by using DUS transformation by introducing a new extra parameter. And for this purpose we use a traditional Gumbel type-II model [8] , [9] , [10] , [11] , [12] as a basic model to a wider distribution class, in order to enhance its efficiency and promote its suitability, in modelling varieties of complex datas. The proposed model is known as the Exponentiated transformation of Gumbel Type-II (ETGT-II).…”

On the analysis of number of deaths due to Covid −19 outbreak data using a new class of distributions

“…Whereas their approach allows only fixed modulation of shape of distributions, our approach is more versatile because it incorporates additional shape parameter. To explain our perspective, we consider Gumbel type-II [7] , [8] , [9] , [10] , [11] as base model due to its simplicity and usability in life testing problem. Our proposed model known as generalized log-exponential transformation of Gumbel Type-II (GLET-GTII), which extends a more flexible model for modeling life data.…”

Interval Estimation in a Two Parameter Weibull Distribution Based on Type-2 Censored Data

“…Some of the common statistical distributions used to fit censored life data include Rayleigh [4], Gamma [5], Gumbel [6], logistic [7], lognormal [8], log-logistic [9], exponential [10], normal [11], Weibull [12] and [13], and Mixed Weibull [14].…”