Inferences Using Censored Samples And Record Values From Burr-XII
Author | : Abdullah Modhesh |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 216 |
Release | : 2012 |
ISBN-10 | : 3659282650 |
ISBN-13 | : 9783659282652 |
Rating | : 4/5 (50 Downloads) |
Download or read book Inferences Using Censored Samples And Record Values From Burr-XII written by Abdullah Modhesh and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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