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2003•Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the NetherlandsOpen access

A goodness of fit statistic for the geometric distribution

José A. Ferreira

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Abstract

We propose a goodness of fit statistic for the geometric distribution and compare it in terms of power, via simulation, with the chi-square statistic. The statistic is based on the Lau-Rao theorem and can be seen as a discrete analogue of the total time on test statistic. The results suggest that the test based on the new statistic is generally superior to the chi-square test.

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What this paper is about

We propose a goodness of fit statistic for the geometric distribution and compare it in terms of power, via simulation, with the chi-square statistic. The statistic is based on the Lau-Rao theorem and can be seen as a discrete analogue of the total time on test statistic. The results suggest that the test based on the new statistic is generally superior to the chi-square test.

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Available abstract

We propose a goodness of fit statistic for the geometric distribution and compare it in terms of power, via simulation, with the chi-square statistic. The statistic is based on the Lau-Rao theorem and can be seen as a discrete analogue of the total time on test statistic. The results suggest that the test based on the new statistic is generally superior to the chi-square test.

Key concepts: Ancillary statistic, Statistic, PRESS statistic, Goodness of fit, Pearson's chi-squared test, Mathematics, Chi-square test, Statistics

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