Some goodness of fit tests for exponential distributions

J. van Soest

Statistica Neerlandica, 1969, vol. 23, issue 1, 41-51

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for exponentiality, namely with criteria arising from probability plotting and due to Shapiro and Wilk [(1964) in an unpublished manuscript, but recently described in “Statistical Models in Engineering” by Hahn and Shapiro (Wiley, 1967)], and with tests based on the conditional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.

Date: 1969
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