Weibull distribution is widely employed in modeling and analyzing lifetime data. The present paper considers the estimation of the scale parameter of two parameter Weibull distribution with known shape. Maximum likelihood estimation is discussed. Bayes estimator is obtained using Jeffreys’ prior under linex loss function. Relative efficiency of the estimators are calculated in small and large s...

This article deals with the problem of Bayes and Maximum Likelihood Estimation (MLE) of generalized augmented strength reliability of the equipment under Augmentation Strategy Plan (ASP), where ASP is suggested for enhancing the strength of weaker / early failed equipment under three possible cases. It is assumed that the Inverse Gaussian stress (Y) is subjected to equipment having Inverse Gaus...

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...

In many practical situations, it is often desired to select a population (treatment, product, technology, etc.) from choice of several populations on the basis particular characteristic that associated with each population, and then estimate selected population. The present paper focused estimating bivariate normal using LINEX loss function. A natural selection rule used for achieving aim selec...

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. ...

Maximum likelihood and Bayes estimators of the parameters, survival function (SF) and hazard rate function (HRF) are obtained for the three-parameter exponentiated Burr type XII distribution when sample is available from type II censored scheme. Bayes estimators have been developed using the standard Bayes and MCMC methods under square error and LINEX loss functions, using informative type of p...

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...

We propose a new and simple methodology to estimate the loss function associated with experts’ forecasts. Under the assumption of conditional normality of the data and the forecast distribution, the asymmetry parameter of the lin-lin and linex loss function can easily be estimated using a linear regression. This regression also provides an estimate for potential systematic bias in the forecasts...