Exact critical values of Kolmogorov-Smirnov test for discrete random variables

Name: Exact critical values of Kolmogorov-Smirnov test for discrete random variables
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Exact critical values of Kolmogorov-Smirnov test for discrete random variables

Authors

Paola Maddalena Chiodini, Silvia Facchinetti

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

01-2011

Issn

1824-6672 (print) | 2283-6659 (digital)

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SUMMARY
The nonparametric Kolmogorov-Smirnov goodness of fit test is employed to test if a random sample comes from a specified continuous distribution function. When this hypothesis is not satisfied the test is no longer applicable accurately. In the last years relatively little attention has been paid to the problems of the application of Kolmogorov-Smirnov test for discrete distributions. In this paper we present a survey of the previous works, we propose a procedure to apply the test to discrete random variables and we define the corresponding statistic. Moreover for some given distributions the exact critical values are tabulated and a comparison with the continuous case is made.
Keywords: Goodness of Fit Test, Discrete Distributions, Empirical Distribution Function.

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