In reliability analysis, an investigator is often interested in the assessment of a specific risk in
presence of other risk factors. It is well known as the competing risks problem in the …

Estimation of the stress–strength parameter, R= Pr (X< Y), is perhaps one of the challenging
concepts in the reliability analysis. The estimation of R often criticized for its lack of stability …

The Weibull distribution, an extreme value distribution, is frequently used to model survival,
reliability, wind speed, and other data. One reason for this is its flexibility; it can mimic …

This paper considers the estimation of the stress–strength reliability of a multi-state
component or of a multi-state system where its states depend on the ratio of the strength and …

In this article, we propose the exponentiated sine-generated family of distributions. Some
important properties are demonstrated, such as the series representation of the probability …

Two classical methods for estimation of Weibull parameters, namely, the moment estimation
and the maximum likelihood estimation are reviewed. It is demonstrated that, assuming the …

The coefficient of determination, known as R 2, is commonly used as a goodness-of-fit
criterion for fitting linear models. R 2 is somewhat controversial when fitting nonlinear …

We propose bivariate Weibull regression model with heterogeneity (frailty or random effect)
which is generated by Weibull distribution. We assume that the bivariate survival data follow …

Weibull distributions are widely used in reliability and survival analysis. In this paper,
different methods to estimate the shape and scale parameters of the two-parameter Weibull …

This paper makes three points about possible perils of unguarded fitting of Weibull
distributions to data:(1) bias is introduced by incomplete data, which may have counter …