TITLE:
Bayesian Prediction of Future Generalized Order Statistics from a Class of Finite Mixture Distributions
AUTHORS:
Abd EL-Baset A. Ahmad, Areej M. Al-Zaydi
KEYWORDS:
Generalized Order Statistics, Bayesian Prediction, Heterogeneous Population, Doubly Type II Censored Samples, One- and Two-Sample Schemes
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.6,
October
28,
2015
ABSTRACT: This article is concerned with the problem of prediction for the future generalized order statistics from a mixture of two general components based on doublytype II censored sample. We consider the one sample prediction and two sample prediction techniques. Bayesian prediction intervals for the median of future sample of generalized order statistics having odd and even sizes are obtained. Our results are specialized to ordinary order statistics and ordinary upper record values. A mixture of two Gompertz components model is given as an application. Numerical computations are given to illustrate the procedures.