2 publications
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An Exact Kolmogorov–Smirnov Test for the Negative Binomial Distribution with Unknown Probability of SuccessBy Arnab Hazra
Abstract: AbstractIn this paper, we develop an exact Kolmogorov–Smirnov goodness-of-fit test in the case of negative binomial distribution with an unknown probability of success. This test is conditional, with the test statistic being the maximum absolute difference between the empirical distribution function and its conditional expectation given the sample total. The results are not asymptotic, but exact. We illustrate the test with three examples in case the size parameter equals one …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 1–13 Read article →
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An Exact Kolmogorov–Smirnov Test for the Logarithmic Series Distribution with Unknown ParameterBy Arnab Hazra
Abstract: AbstractIn this paper, we develop an exact Kolmogorov–Smirnov goodness-of-fit test in the case of logarithmic series distribution with an unknown parameter value. This test is conditional, with the test statistic being the maximum absolute difference between the empirical distribution function and its conditional expectation given the sample total. Some modifications are done on an algorithm previously proposed in the case of the Poisson distribution and used the modified algorithm for …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 2, 2013 · pp. 1–11 Read article →