Inferences Using Censored Samples And Record Values From Burr-XII

Censoring is very common in life testing experiments and reliability studies. Progressive first-failure-censoring and an adaptive progressive Type II censoring schemes will be a good choice in this situation. Also, record values and associated statistics are of great importance in several real life problems. There are a number of situations in which an observation is retained only if it is a record value. In this book, we propose different methods to estimate the parameters of the Burr-XII distribution using different censoring schemes and record values. We used the maximum likelihood estimator, different parametric bootstrap methods and we provide a Bayesian method to estimate these parameters as well as the coefficient of variation, the stress-strength reliability model and hazard functions. In the Bayesian method we propose two approaches to approximate the posterior: Lindley s approximation and the Markov chain Monte Carlo (MCMC) methods. Also, the statistical Bayesian predictions have been treated. Bayesian prediction intervals based on progressive first-failure-censored from Burr-XII as a formative sample are obtained and discussed

Autorentext

Author: Dr. Abdullah A. Modhesh,lecture of statistics Taiz University, Yamen.Co-Author: Prof. Ahmed A.Soliman is a professor ofstatistics at Sohag University, Egypt.Currently he with the department of mathematics, Islamic University, Madinah, KSA. Co-Author : Dr. Ahmed H. Abd-Ellah, is a professor of statistics at Sohag University, Egypt.