AN ALTERNATIVE METHOD FOR PREDICTION INTERVALS OF AN ORDER OBSERVATION FROM ONE-PARAMETER EXPONENTIAL DISTRIBUTION BASED ON CENSORED SAMPLE

Tsong-Huey Wu*

Department of Health Care and Administration

Chia-Nan University of Pharmacy and Science

60 Erh Jen Road, Section 1, Jen Te, Tainan County 712, Taiwan, R.O.C.

Hai-Lin Lu

Department of Management Information Science

Chia-Nan University of Pharmacy and Science

60 Erh Jen Road, Section 1, Jen Te, Tainan County 712, Taiwan, R.O.C.

ABSTRACT

In the paper, we construct a more precise prediction interval of the jth order observation from some pivotal quantities for the one-parameter exponential distribution based on Type II censored samples. Our method is more general in the sense that it can be applied to any data scheme. From the illustrated examples and the results of simulation, the performances of our method are better than the widely-used methods of Mann and Grubbs [12] and Kaminsky and Nelson [5,6]. For further study, our method is easily applied to other location and scale family distributions.

Keywords: prediction intervals, order statistics, Monte Carlo simulation, one-parameter exponential distribution

(*Contact: E-mail thwu@mail.chna.edu.tw )

Cite this article as: Tsong-Huey Wu and Hai-Lin Lu, "An Alternative Method for Prediction Intervals of an Order Observation from One-Parameter Exponential Distribution Based on Censored Sample," Journal of the Chinese Institute of Industrial Engineers, 23, 80-90 (2006).