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Testing for Harmonic New Better than used in Expectation

Published online by Cambridge University Press:  27 July 2009

S. Rao Jammalamadaka  and
Eun-Soo Lee
S. Rao Jammalamadaka
Affiliation:
Department of Statistics and Applied Probability, University of California, Santa Barbara, California 93106
Eun-Soo Lee
Affiliation:
Statistical Standards Division, National Statistical Office, Seoul, Korea 135-080
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Abstract

A statistic for testing the null hypothesis that F is the exponential distribution against the alternative of harmonic new better than used in expectation (HNBUE) is proposed. The asymptotic distribution theory for this statistic is derived under the null hypothesis and asymptotic relative efficiency (ARE) with respect to other competing tests for HNBUE is evaluated. This test is applied to the leukemia data described in Bryson and Siddiqui (1969).

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 3 , July 1998 , pp. 409 - 416
Copyright
Copyright © Cambridge University Press 1998

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