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Chi-square goodness-of-fit test for one- and multidimensional discrete distributions

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Abstract

The problem of the construction of chi-square type tests for discrete (one- and multidimensional) distributions of exponential type is considered in detail. In particular, as an example, the Stirling distribution of the second kind is investigated a table of the best unbiased estimators of certain functions of the distribution parameters is given.

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Authors
  1. V. G. Voinov
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  2. M. S. Nikulin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 62–79, 1990.

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Voinov, V.G., Nikulin, M.S. Chi-square goodness-of-fit test for one- and multidimensional discrete distributions. J Math Sci 68, 438–450 (1994). https://doi.org/10.1007/BF01254268

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