Uwagi o wzorze na momenty rozkładu prawdopodobieństwa Pólyi

• Authors: Gerstenkorn Tadeusz

Title variants

EN

Remarks on the formula for the moments of the Pólya probability distribution

• Languages of publication: PL EN

Abstracts

EN

The probability distribution of a random variable can be characterized by some numbers called parameters of the distribution. The most commonly used parameters are the moments. Our attention is concentrated on the Pólya distribution because it is easily possible to obtain from it some special cases very important in the statistics distri-butions such as binomial, negative binomial and Poisson (in the limit procedure). In 1972 G. Mühlbach introduced very interesting formulae for the moments of the Pólya distribu-tion. The author did not investigate an appreciation of the numerical efficacy of the for-mula for the simple moments. We will show that it is possible to demonstrate this formula in a simpler form. It has a practical significance and importance.

Keywords

EN

the Pólya distribution; moments

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
• Journal: Śląski Przegląd Statystyczny
• Year: 2015
• Issue: 13 (19)
• Pages: 131-135

Contributors

author

Gerstenkorn Tadeusz

References

• Gerstenkorn T., Śródka T., Kombinatoryka i rachunek prawdopodobieństwa, PWN, Warszawa 1972.
• Kaufmann A., Introduction a la Combinatorique en Vue des Applications,Paris, Dunod 1968.
• Mühlbach G., Rekursionsformeln fur die zentralen Momente der Pólya- und der Beta- -Verteilung, Metrika 19, 1972, vol. 2–3, s. 171–177.