Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/114181
Title: A likelihood ratio test for a shift in the lifelength distribution
Authors: Gadag, V.
Balasooriya, U. 
Keywords: Exponential distribution
Maximum likelihood estimation
Order statistics
Outliers
Shock models
Issue Date: 1998
Citation: Gadag, V.,Balasooriya, U. (1998). A likelihood ratio test for a shift in the lifelength distribution. Communications in Statistics - Theory and Methods 27 (8) : 1937-1945. ScholarBank@NUS Repository.
Abstract: In this article, we discuss the problem of detecting the effect of a shock occurring in a life test experiment involving n test specimens. It is assumed that a shock occurs at the (n - r)th failure where r is known. Such a shock is suspected to have altered the parameters of the remaining lifelengths of the surviving specimens. Under this set-up, a test based on likelihood ratio criterion is discussed. It has been shown that when the lifelength distribution is exponential, the null distribution of the proposed test statistic is beta of type I with parameters r and (n - r). The distribution of the proposed test statistic under alternate hypothesis and the exact form of the power function have been derived. A power comparison of the proposed test statistic is also made with a prediction-based test statistic discussed in the literature. Copyright © 1998 by Marcel Dekker, Inc.
Source Title: Communications in Statistics - Theory and Methods
URI: http://scholarbank.nus.edu.sg/handle/10635/114181
ISSN: 03610926
Appears in Collections:Staff Publications

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