Journal of Statistics Applications & Probability

Author Country (or Countries)

Saudi Arabia


Over the last decades, several authors have studied competing strategies to analyse the risk. This article investigates the competing risks model when the failure times have power failure rate distribution. The model is formulated considering that causes of failure are independent, and a sample is obtained in complete form. The parameters are studied for the classical maximum likelihood and Baye’s methods. Also, we constructed confidence intervals concerning asymptotic maximum likelihood (ML) confidence intervals and bootstrap confidence intervals. Under the Bayesian approaches, we adopted the Markov chain Monte Carlo (MCMC) method to formulate credible intervals. The performances of estimators are discussed with a real data set and assessed through an extensive simulation study. Finally, the numerical results are examined in the conclusion section.

Digital Object Identifier (DOI)