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http://dx.doi.org/10.5351/KJAS.2003.16.2.395

A Study on Test for NBU Class  

김환중 (우석대학교 전산정보학부 전산통계전공)
Publication Information
The Korean Journal of Applied Statistics / v.16, no.2, 2003 , pp. 395-406 More about this Journal
Abstract
In this thesis, we propose a test statistic for testing exponentiality against NBU alternatives. Our test statistics is based on a linear function of the order statistics and is readily applied in the case of small sample as well as large sample. The exact and asymptotic distribution of the test statistics is derived and asymptotic efficiencies are studied. Our new test is easier to compute and performs better for several alternatives than test of Hollander and Proschan(1972).
Keywords
NBU Class; NBU Class; order statistics; test statistics; Monte Carlo simulation; asymptotic relative efficiency;
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