A New Test for New Better than Used Class

Kim, Hwan-Joong

Journal of Korean Society for Quality Management > Volume 27(2); 1999 > Article

Journal of Korean Society for Quality Management 1999;27(2): 143-.

NBU에 대한 지수성 검정법에 관한 연구

김환중

우석대학교 전산통계학과

A New Test for New Better than Used Class

Hwan-Joong Kim

Dept. of Computer Science and Statistics, Woosuk University

ABSTRACT

In this thesis, a new test statistic is proposed for testing exponentiality against New Better than Used (NBU) alternatives. Our test statistic, which is based on a quadratic function of the order statistics from the sample, is readily applied in the case of small sample. Also, Our test statistic is more simple than the test statistic of Hollander and Proschan(1972).

Key Words: exponential distribution;order statistic;new better than used;test statistic;survival function;failure distribution;