In this paper we will develop further the sequential life test approach presented in a previous article by [1] using an underlying two parameter Weibull sampling distribution. The minimum life will be considered equal to zero. We will again provide rules for making one of the three possible decisions as each observation becomes available; that is: accept the null hypothesis H0; reject the null ...

This article considers a new function to propose a new lifetime model. The new model is introduced by utilizing the linear scheme of the two logarithms of cumulative hazard functions. The new model is named as new extended Weibull distribution, and is able to model data with unimodal or modified unimodal shaped failure rates. A brief explanation of the mathematical properties of the proposed mo...

In this paper, we introduce a new multivariate Weibull (MVW) distribution with many interesting properties. We obtain the maximum likelihood estimate (MLE) of the parameters and their asymptotic multivariate normal (AMVN) distribution in MVWmodel. We propose large sample studentized tests for testing multivariate exponentiality and also tests for independence and identical marginals of the comp...

One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation (likelihood method). Usually, this works based on iterative algorithms such as Newton-Raphson. However, the efficiency of the likelihood method is not...

Nowadays, researchers in applied sectors are highly motivated to propose and study new generalizations of the existing distributions provide best fit data. To a close data numerous sectors, series have been proposed. In this study, we family called generalized- X (for short, “NG- id="M3"> ”) distributions. Based on NG- i...

This note discusses and illustrates the use of Weibull probability paper for complete samples and for the special kind of censoring known as type II censoring. In the latter case the observed lifetimes consist of the r lowest values of the sample, the remaining unobserved lifetimes all being higher. Three blanks for 1 Cycle Log, 2 Cycle Log and 3 Cycle Log scales on the measurement abscissa are...