This paper deals with the estimation of the stress-strength parameter R = P (Y < X), when X and Y are two independent weighted Lindley random variables with a common shape parameter. The MLEs can be obtained by maximizing the profile loglikelihood function in one dimension. The asymptotic distribution of the MLEs are also obtained, and they have been used to construct the asymptotic confidence ...

Many lifetime distribution models have successfully served as population models for risk analysis and reliability mechanisms. The Kumaraswamy distribution is one of these distributions which is particularly useful to many natural phenomena whose outcomes have lower and upper bounds or bounded outcomes in the biomedical and epidemiological research. This paper studies point estimation and interv...

In this paper, the reliability formula of stress-strength model is derived for probability a component having strength X falling between two stresses T and Z, based on The New Weibull-Pareto Distribution with unknown parameter known common parameters . Four methods estimating are discussed which Maximum Likelihood, Method Moment, Least Square Weighted Method, comparison these estimations simula...

Multicomponent stress–strength reliability (MSR) is explored for the system with Burr XII distributed components under Type-II censoring. When distributions of strength and stress variables have common or unequal inner shape parameters, existence uniqueness maximum likelihood estimators are investigated established. The associated approximate confidence intervals obtained by using asymptotic no...