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Abstract
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Article Information:
On Tests for Detecting More Nbu-ness Property of Life Distributions
Parameshwar V. Pandit and Nagaraj V. Gudaganavar
Corresponding Author: Parameshwar V. Pandit
Submitted: 2009 June, 08
Accepted: 2009 August, 05
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Abstract:
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A sim ple test procedure is proposed for testing the null hypothesis that two life distributions are equal
against the alternative that one is more new better than used than the other. The proposed test is based on a sub
sample of size two from each sample. The properties of the test procedure such as asymptotic normality,
consistency etc., are established. The performance of the test procedure is evaluated by finding Pitman
asymptotic relative efficiencies(ARE) for different distributions in comparison with the test procedure due to
Hollander and Proschan(1986). A simple two-sam ple test statistic for testing the null hypothesis of equality
of two life distributions against the alternative that one life distribution possesses more of New better than used
property than does another life distribution at a specified age. The newly proposed test is based on a U-statistic
whose kernel is based on minima of a sub sample of size two. The asymptotic normality of the proposed test
is established. The Pitman ARE of the proposed test relative to the test proposed by Lim, Kim and Park(2005)
are computed by considering the alternative distributions with location and scale parameters. The Pitman AREs
show that the performance of the tests proposed here is better as compared to its competitors.
Key words: NBU, NBU-t0, Positive ageing, Pitman ARE, Two-sample test, U-statistic,
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Cite this Reference:
Parameshwar V. Pandit and Nagaraj V. Gudaganavar, . On Tests for Detecting More Nbu-ness Property of Life Distributions. Research Journal of Mathematics and Statistics, (1): Page No: 9-13.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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