In this paper we consider the Bayesian inference of the unknown parameters of the progressively censored competing risks data, when the lifetime distributions are Weibull. It is assumed that the latent cause of failures have independent Weibull distributions with the common shape parameter, but different scale parameters. In this article, it is assumed that the shape parameter has a log-concave...

Abstract. In this paper we develop Maximum Likelihood (ML) and Improved Analytical (IA) numerical algorithms to estimate parameters of the Weibull distribution, namely, location, scale and shape parameters, using order statistics of a noncensored sample. Since ML method leads to multiextremal numerical problem we establish conditions to localize extremes of the ML function, which enables us to ...

In this paper, the Weibull-Lomax distribution is considered for Bayesian analysis. The expressions Bayes estimators of parameter have been derived under squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions by using quasi gamma priors.

A Monte Carlo method for computing the bias and standard deviation of estimates of the parameters of a psychometric function such as the WeibulllQuick is described. The method, based on Efron's parametric bootstrap, can also be used to estimate confidence intervals for these parameters. The method's ability to predict bias, standard deviation, and confidence intervals is evaluated in two ways. ...

In this paper, a new class of five parameter gamma-exponentiated or generalized modified Weibull (GEMW) distribution which includes exponential, Rayleigh, Weibull, exponentiated gamma gamma-modified gamma-Weibull, gamma-Rayleigh and gamma-exponential distributions as special cases is proposed studied. Mathematical properties including moments, mean deviations, Bonferroni Lorenz curves, order st...