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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/8998

Title: New tests for exponentiality against new better than used in pth quantile
Authors: JANSSEN, Paul
SWANEPOEL, Jan
VERAVERBEKE, Noel
Issue Date: 2009
Publisher: TAYLOR & FRANCIS LTD
Citation: JOURNAL OF NONPARAMETRIC STATISTICS, 21(1). p. 85-97
Abstract: A new characterisation of the exponential distribution in a wide class of new better than used in pth quantile (NBUp) lifetime distributions is presented. This leads to new classes of scale-free goodness-of-fit tests for exponentiality against NBUp alternatives. The limiting distributions of the test statistics under the null and alternative hypotheses are derived and the tests are shown to be consistent against NBUp alternatives. Pitman efficacies are calculated and a limited Monte Carlo study is conducted to compare the tests with regard to power for small and moderate sample sizes against a range of alternative distributions. On the basis of overall good performance and ease of computation, a member of the class of test statistics which is based on the sample Winsorised mean is recommended as a scale-free goodness-of-fit test for the exponential distribution.
Notes: [Janssen, Paul; Veraverbeke, Noel] Univ Hasselt, Ctr Stat, Diepenbeek, Belgium. [Swanepoel, Jan] North West Univ, Dept Stat, Potchefstroom, South Africa.
URI: http://hdl.handle.net/1942/8998
DOI: 10.1080/10485250802454953
ISI #: 000260797800006
ISSN: 1048-5252
Category: A1
Type: Journal Contribution
Validation: ecoom, 2009
Appears in Collections: Research publications

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