This report explains Weibull plotting and its rationale. It shows how the two Weibull parameter estimates are easily read off from the Weibull plot. The use of Weibull plotting is introduced first in the context of complete samples and then extended to two common forms of censoring: type I or multiple censoring and type II censoring. Two blank Weibull plotting templates are provided, one for a ...

1. Introduct ion Consider a life testing experiment in which n units are put on test and successive failure times are recorded. Assume that the lifetimes are independent and identically distributed exponential random variables with probability density function (pdf) (1.1) f ( x ;O) = 1 -x/o ~ e , x > _ O , 0 > 0 . Let the ordered lifetimes of these items be denoted by XI:n, X2:n,.-. ,Xn:nVariou...

An expression for Fisher’s observed information matrix is given under type I censoring for any location-scale distribution under mild requirements. It is illustrated on a data set which has been analyzed by several authors.

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality...

The hybrid censoring is a mixture of type-I and type-II schemes. This paper presents the statistical inferences inverse Weibull distribution parameters when data are censored. First, we consider maximum likelihood estimates unknown parameters. It observed that can not be obtained in closed form. We further obtain Bayes corresponding highest posterior density credible intervals under assumption ...

In medical studies or in reliability analysis, it is quite common that the failure of any individual or any item may be attributable to more than one cause. Moreover, the observed data are often censored. Hybrid censoring scheme which is the mixture of conventional Type-I and Type-II censoring schemes is quite useful in life-testing or reliability experiments. Recently Type-II progressive censo...