TITLE:
Bayesian Estimation and Prediction for the Maxwell Failure Distribution Based on Type II Censored Data
AUTHORS:
Anwar M. Hossain, Gabriel Huerta
KEYWORDS:
Bayes Estimator, HPD Interval, Maxwell Distribution, MLE, Prediction, Reliability Function
JOURNAL NAME:
Open Journal of Statistics,
Vol.6 No.1,
February
23,
2016
ABSTRACT: 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.