In this study, based on progressive type-II censored data, Bayes estimators of the unknown parameter Topp-Leone distribution are derived by using informative and non-informative, priors under square error (symmetric), linex, general entropy, precautionary (asymmetric) loss functions. The cannot be obtained in closed-forms, for reason, Lindley’s approximation method is used to compute approximat...

The purposes of this study are to estimate the scale parameter invers Rayleigh distribution under MLE, Bayesian Generalized square error loss function (SELF), and LINEX . posterior is considered use two types prior, namely Jeffrey’s prior exponential distribution. proposed methods then employed in real data. Several criteria AIC, AICc, BIC for selection model order identify method which results...

Abstract The Kies probability model was proposed as an alternative to the extended Weibull models it provides a more efficient fit some real-life data sets in comparison aforementioned models. paper proposes classical and Bayesian inferences for distribution based on records. Maximum likelihood estimates are studied jointly with asymptotic bootstrap confidence intervals. Moreover, Bayes estimat...

Let X be a random variable from a normal distribution with unknown mean θ and known variance σ2. In many practical situations, θ is known in advance to lie in an interval, say [−m,m], for some m > 0. As the usual estimator of θ, i.e., X under the LINEX loss function is inadmissible, finding some competitors for X becomes worthwhile. The only study in the literature considered the problem of min...

In this article, we present a new statistical modification of the Weibull model for updating flexibility, called generalized Weibull-Weibull distribution. The is defined and studied in detail. Some mathematical functions are studied, such as quantile function, moments, information generating measure, Shannon entropy energy. joint distribution two marginal univariate models via Copula provided. ...

We provide a brand-new distribution based on the model of Lindley, with an emphasis estimation its unknown parameters. After introducing new distribution, we cover two approaches to estimate parameters; in presence censored scheme, first use traditional approach, which is The maximum likelihood technique, then Bayesian approach. BarzilaiBrown algorithm used derive estimators while Monte Carlo M...

Using a class of claim distributions, we introduce the Weibull distribution, which is new extension distribution with three parameters. The maximum likelihood estimation method used to estimate unknown parameters, and asymptotic confidence intervals bootstrap are constructed. In addition, obtained Bayesian estimates parameters under squared error linear exponential function (LINEX) general entr...

We propose a new extension of the exponential distribution for right censored Bayesian and non-Bayesian distributional validation. The parameter is estimated using several conventional methods, including method. likelihood estimates are compared Pitman’s closeness criteria. estimators derived three loss functions: extended quadratic, Linex, entropy functions. Through simulated experiments, all ...