Precedence-type Test based on Progressively Censored Samples

N Balakrishnan, Ram Tripathi, Nandini Kannan and H. K. T. Ng
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N Balakrishnan: McMaster University
Ram Tripathi: The University of Texas at San Antonio
Nandini Kannan: The University of Texas at San Antonio
H. K. T. Ng: Southern Methodist University

No 54, Working Papers from College of Business, University of Texas at San Antonio

Abstract: In this paper, we introduce precedence-type tests for testing the hypothesis that two distribution functions are equal, which is an extension of the precedence life-test rst proposed by Nelson (1963), when the two samples are progressively Type-II censored. The null distributions of the test statistics are derived. Critical values for some combination of sample sizes and censoring schemes for the proposed tests are presented. Then, we present the exact power functions under the Lehmann alternative, and compare the exact power as well as simulated power (under location-shift) of the proposed precedence test based on nonparametric estimates of CDF with other precedence-type tests. We then examine the power properties of the proposed test procedures through Monte Carlo simulations. Two examples are presented to illustrate all the test procedures discussed here. Finally, we make some concluding remarks.

Keywords: Precedence test; Product-limit estimator; Type-II progressive censoring; Life-testing; level of significance; power; Lehmann alternative; Monte Carlo simulations (search for similar items in EconPapers)
JEL-codes: C14 (search for similar items in EconPapers)
Pages: 15 pages
Date: 2008-05-30
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