Discrete quasiprobability distributions involving Bernoulli polynomials
The aim of this short paper is to present a new family of discrete densities with two parameters based on Bernoulli numbers and polynomials. We use the properties of such numbers in order to compute the first moments and the density of a finite sum of such independent variables.
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023645?viewType=HTML |
| _version_ | 1797849770121756672 |
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| author | Bander Almutairi |
| author_facet | Bander Almutairi |
| author_sort | Bander Almutairi |
| collection | DOAJ |
| description | The aim of this short paper is to present a new family of discrete densities with two parameters based on Bernoulli numbers and polynomials. We use the properties of such numbers in order to compute the first moments and the density of a finite sum of such independent variables. |
| first_indexed | 2024-04-09T18:49:31Z |
| format | Article |
| id | doaj.art-6e807666ac494b4dbb6d55ae4c2f503a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T18:49:31Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6e807666ac494b4dbb6d55ae4c2f503a2023-04-10T01:30:25ZengAIMS PressAIMS Mathematics2473-69882023-03-0186128191282910.3934/math.2023645Discrete quasiprobability distributions involving Bernoulli polynomialsBander Almutairi0Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThe aim of this short paper is to present a new family of discrete densities with two parameters based on Bernoulli numbers and polynomials. We use the properties of such numbers in order to compute the first moments and the density of a finite sum of such independent variables.https://www.aimspress.com/article/doi/10.3934/math.2023645?viewType=HTMLquasiprobabilitybernoulli numbersstirling numbersplanck's lawpoisson distribution |
| spellingShingle | Bander Almutairi Discrete quasiprobability distributions involving Bernoulli polynomials AIMS Mathematics quasiprobability bernoulli numbers stirling numbers planck's law poisson distribution |
| title | Discrete quasiprobability distributions involving Bernoulli polynomials |
| title_full | Discrete quasiprobability distributions involving Bernoulli polynomials |
| title_fullStr | Discrete quasiprobability distributions involving Bernoulli polynomials |
| title_full_unstemmed | Discrete quasiprobability distributions involving Bernoulli polynomials |
| title_short | Discrete quasiprobability distributions involving Bernoulli polynomials |
| title_sort | discrete quasiprobability distributions involving bernoulli polynomials |
| topic | quasiprobability bernoulli numbers stirling numbers planck's law poisson distribution |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023645?viewType=HTML |
| work_keys_str_mv | AT banderalmutairi discretequasiprobabilitydistributionsinvolvingbernoullipolynomials |