| dc.contributor.author | Gerstenkorn, Tadeusz | |
| dc.date.accessioned | 2015-12-09T09:16:06Z | |
| dc.date.available | 2015-12-09T09:16:06Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0208-6018 | |
| dc.identifier.uri | http://hdl.handle.net/11089/15312 | |
| dc.description.abstract | The probability distribution of a random variable can be characterized by some numbers called parameters of the distribution. Moments belong to the most frequently used parameters. We focus on the Pólya distribution because we can easily obtain from it, as special cases, some distributions important in statistics such 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 is important from practical point of view. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
| dc.relation.ispartofseries | Acta Universitatis Lodziensis. Folia Oeconomica;314 | |
| dc.subject | moments of the probability distribution | pl_PL |
| dc.subject | Pólya probability distribution | pl_PL |
| dc.title | Remarks on the Formula for the Moments of the Pólya Probability Distribution | pl_PL |
| dc.title.alternative | Uwagi o wzorze na momenty rozkładu prawdopodobieństwa G. Pólyi | pl_PL |
| dc.type | Article | pl_PL |
| dc.rights.holder | © Copyright by Uniwersytet Łódzki, Łódź 2015 | pl_PL |
| dc.page.number | [9]-14 | pl_PL |
| dc.contributor.authorAffiliation | University of Łódź | pl_PL |
| dc.identifier.eissn | 2353-7663 | |
| dc.references | Gerstenkorn T., Śródka T. (1972), Kombinatoryka i rachunek prawdopodobieństwa, PWN, Warszawa. | pl_PL |
| dc.references | Kaufmann A. (1968), Introduction à la Combinatorique en Vue des Applications, Paris, Dunod. | pl_PL |
| dc.references | Łukasiewicz J., Warmus M. (1956), Metody numeryczne i graficzne, Część I, Warszawa, PWN. | pl_PL |
| dc.references | Mühlbach G. (1972), Rekursionsformeln für die zentralen Momente der Pólya- und der Beta- Verteilung, Metrika 19, Fasc. 2–3, 171–177. | pl_PL |
| dc.contributor.authorEmail | e-mail: tadger@math.uni.lodz.pl | pl_PL |
| dc.identifier.doi | 10.18778/0208-6018.314.02 | |
| dc.relation.volume | 3 | pl_PL |
