REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION

Authors

  • Tadeusz Gerstenkorn Professor Emeritus, University of Łódź,

DOI:

https://doi.org/10.18778/0208-6018.314.02

Keywords:

moments of the probability distribution, Pólya probability distribution

Abstract

ABSTRACT

       The probability distribution of a random variable can be characterized by some numbers called parameters of the distribution. The moments belong to the most frequently used parameters. We focus on the Pólya distribution because it is easy to obtain from it as special cases some very important in the statistics distributions, as binomial, negative binomial and Poisson (the last one in the limit procedure).

            In 1972 G. Mühlbach gave very interesting formulae for the moments of the Pólya distribution. The author did not investigate  the evaluation of the numerical efficacy of the formula for the moments. We will  show that it is possible to demonstrate this formula in a simpler form, which  has a practical significance and importance.

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References

Gerstenkorn T., Śródka T. (1972), Kombinatoryka i rachunek prawdopodobieństwa, PWN, Warszawa.
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Kaufmann A. (1968), Introduction à la Combinatorique en Vue des Applications,Paris, Dunod.
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Mühlbach G. (1972), Rekursionsformeln für die zentralen Momente der Pólya- und der Beta-Verteilung, Metrika 19, Fasc.. 2-3.
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Published

2016-02-29

How to Cite

Gerstenkorn, T. (2016). REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION. Acta Universitatis Lodziensis. Folia Oeconomica, 3(314). https://doi.org/10.18778/0208-6018.314.02

Issue

Vol. 3 No. 314 (2015)

Section

MSA2015

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.

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