Bayesian Inference for the Left Truncated Exponential Distribution Based on Pooled Type-II Censored Samples

Abstract

Abstract:In this paper, the maximum likelihood and Bayesian estimations are developed based on the pooled sample of two independent Type-II censored samples from the left truncated exponential distribution. The Bayesian estimation is discussed using different loss functions. The problem of predicting the failure times from a future sample from the sample population is also discussed from a Bayesian viewpoint. A Monte Carlo simulation study is conducted to compare the maximum likelihood estimator with the Bayesian estimators. Finally, an illustrative example is presented to demonstrate the different inference methods discussed here.

Parameters Estimation of the Exponentiated Chen Distribution Based on Upper Record Values

“…This section presents prediction of future record values using the SELF. The prediction of future record values using the Bayesian approach is discussed by many scholars, see, for example, Mousa et al (2002), Al-Hussaini and Ahmad ( 2003), Madi and Raqab (2004), El-Din et al (2015), and references cited therein. Suppose n upper records X k(1) , X k(2) , .…”