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...

A modification of ranked set sampling (RSS) called maximum ranked set sampling with unequal sample (MRSSU) is considered for the Bayesian estimation of scale parameter α of the Weibull distribution. Under this method, we use Linex loss function, conjugate and Jeffreys prior distributions to derive the Bayesian estimate of α. In order to measure the efficiency of the obtained Bayesian estimates ...

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...

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...

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...