Bayesian Inference for The Left Truncated Exponential Distribution based on Ordered Pooled Sample of Records
Nagy, Magdy . 2015
In this paper, the maximum likelihood and Bayesian estimations are developed based on an ordered pooled sample from two independent samples of record values from the left truncated exponential distribution. The Bayesian estimation for the unknown parameters is discussed using different loss functions. Also, the maximum likelihood and the Bayesian estimators of the corresponding reliability and p th quantile functions are calculated. The problem of predicting the record values 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.
The procedure of selecting the values of hyper-parameters for prior distributions in Bayesian estimate has produced many problems and has drawn the attention of many authors, therefore the…
By observing the failure behavior of the recorded survival data, we aim to compare the different processing approaches or the effectiveness of the devices or systems applied in this nonparametric…
In the lifetime and reliability experiments, the censored samples play a fundamental and important role in order to control time and cost. The researchers developed the censored sample schemes to…