Author(s)

Anwar M. Hossain¹, Gabriel Huerta²

¹Department of Mathematics, New Mexico Tech, Socorro, NM, USA.
²Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, USA.

We present Bayes estimators, highest posterior density (HPD) intervals, and maximum likelihood estimators (MLEs), for the Maxwell failure distribution based on Type II censored data, i.e. using the first r lifetimes from a group of n components under test. Reliability/Hazard function estimates, Bayes predictive distributions and highest posterior density prediction intervals for a future observation are also considered. Two data examples and a Monte Carlo simulation study are used to illustrate the results and to compare the performances of the different methods.

Bayes Estimator, HPD Interval, Maxwell Distribution, MLE, Prediction, Reliability Function

Hossain, A. and Huerta, G. (2016) Bayesian Estimation and Prediction for the Maxwell Failure Distribution Based on Type II Censored Data. Open Journal of Statistics, 6, 49-60. doi: 10.4236/ojs.2016.61007.