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

Tadeusz Gerstenkorn · Lodz University Press · 2015

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Autore / responsabile

Tadeusz Gerstenkorn

Editore

Lodz University Press

Anno

2015

ISSN

0208-6018

ISSN

0208-6018

Lingua

Inglés

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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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APA 7

Gerstenkorn, T. (2015). REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION. https://czasopisma.uni.lodz.pl/foe/article/view/581

MLA

Gerstenkorn, Tadeusz. "REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION." 2015. https://czasopisma.uni.lodz.pl/foe/article/view/581.

Chicago

Gerstenkorn, Tadeusz. 2015. "REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION.". https://czasopisma.uni.lodz.pl/foe/article/view/581.

Harvard

Gerstenkorn, T. 2015, REMARKS ON THE FORMULA FOR THE MOMENTS OF THE PÓLYA PROBABILITY DISTRIBUTION, Lodz University Press, available at: https://czasopisma.uni.lodz.pl/foe/article/view/581 [Accessed 6 Aug. 2026].

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

Autore / collaboratori: Tadeusz Gerstenkorn

Editore: Lodz University Press

Anno di pubblicazione: 2015

ISSN: 0208-6018

ISSN: 0208-6018

Lingua: Inglés

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moments of the probability distribution Pólya probability distribution