Title
Inferences Using Censored Samples And Record Values From BurrXII: Estimation, Prediction, Bayesian and nonBayesian approaches,Used
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Censoring is very common in life testing experiments and reliability studies. Progressive firstfailurecensoring 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 BurrXII 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 stressstrength reliability model and hazard functions. In the Bayesian method we propose two approaches to approximate the posterior: Lindleys approximation and the Markov chain Monte Carlo (MCMC) methods. Also, the statistical Bayesian predictions have been treated. Bayesian prediction intervals based on progressive firstfailurecensored from BurrXII as a formative sample are obtained and discussed
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