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Some goodness of fit tests for exponential distributions

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  • J. van Soest

Abstract

Summary This paper considers tests of exponentiality against unspecified alternatives. The test functions are modifications of those given by Kac, Kiefer and Wolfowitz [Ann. Math. Stat., Vol. 26 (1955) 189–211]. The distributions of these statistics are obtained with the aid of the Monte Carlo method, and the tables may serve to apply a test of exponentiality for the usual levels of significance (sample sizes n≥ 10). A Monte Carlo comparison is also made with competing tests for exponentiality, namely with criteria arising from probability plotting and due to Shapiro and Wilk [(1964) in an unpublished manuscript, but recently described in “Statistical Models in Engineering” by Hahn and Shapiro (Wiley, 1967)], and with tests based on the conditional distribution of total lives and on a likelihood ratio.

Suggested Citation

  • J. van Soest, 1969. "Some goodness of fit tests for exponential distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 23(1), pages 41-51, March.
    • Handle: RePEc:bla:stanee:v:23:y:1969:i:1:p:41-51
    DOI: 10.1111/j.1467-9574.1969.tb00072.x
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