Results 1 to 10 of about 6,151,667 (279)
The Confluent Hypergeometric Beta Distribution
Mathematics, 2023 The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties.
Saralees Nadarajah, Malick Kebe
doaj +3 more sources
Sato-Tate Distribution of $p$-adic hypergeometric functions [PDF]
arXiv, 2022 Recently Ono, Saad and the second author \cite{KHN} initiated a study of value distribution of certain families of Gaussian hypergeometric functions over large finite fields. They investigated two families of Gaussian hypergeometric functions and showed that they satisfy semicircular and Batman distributions.
Sudhir Pujahari, N. Saikia
arxiv +3 more sources
Exponential bounds for the hypergeometric distribution. [PDF]
Bernoulli (Andover), 2017 38 pages, 5 ...
Greene E, Wellner JA.
europepmc +5 more sources
Hahn polynomials for hypergeometric distribution [PDF]
Advances in Applied Mathematics, 2020 Orthogonal polynomials for the multivariate hypergeometric distribution are defined on lattices in polyhedral domains in $\RR^d$. Their structures are studied through a detailed analysis of classical Hahn polynomials with negative integer parameters. Factorization of the Hahn polynomials is explored and used to explain the relation between the index ...
P. Iliev, Yuan Xu
semanticscholar +3 more sources
IEEE Access, 2020 Cryptocurrencies (e.g., Bitcoin and Ethereum), which promise to become the future of money transactions, are mainly implemented with blockchain technology. However, blockchain suffers from scalability issues.
Abdelatif Hafid +2 more
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EVALUATION OF THE NON-ELEMENTARY INTEGRAL \(\int e^{\lambda x^\alpha}dx\), \(\alpha\ge 2\), AND OTHER RELATED INTEGRALS [PDF]
Ural Mathematical Journal, 2017 A formula for the non-elementary integral \(\int e^{\lambda x^\alpha} dx\) where \(\alpha\) is real and greater or equal two, is obtained in terms of the confluent hypergeometric function \(_{1}F_1\) by expanding the integrand as a Taylor series.
Victor Nijimbere
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A Generalization of the Hypergeometric Distribution
Sultan Qaboos University Journal for Science, 2000 In this paper we introduce a modification of the hypergeometric distribution that caters for the case when the sampling scheme favours the inclusion of units of one of the two types involved, as opposed to the hypergeometric distribution under which all ...
E.K. Elsheikh, A. Benmerzouga
doaj +3 more sources
Distribution of values of Gaussian hypergeometric functions [PDF]
Pure and Applied Mathematics Quarterly, 2021 In the 1980's, Greene defined {\it hypergeometric functions over finite fields} using Jacobi sums. The framework of his theory establishes that these functions possess many properties that are analogous to those of the classical hypergeometric series ...
K. Ono, Hasan Saad, N. Saikia
semanticscholar +3 more sources
Exponential bounds for the hypergeometric distribution [PDF]
arXiv, 2015 We establish exponential bounds for the hypergeometric distribution which include a finite sampling correction factor, but are otherwise analogous to bounds for the binomial distribution due to Le\'on and Perron (2003) and Talagrand (1994). We also establish a convex ordering for sampling without replacement from populations of real numbers between ...
Evan Greene, J. Wellner
arxiv +3 more sources
Distribution evaluation of hypergeometric series [PDF]
arXiv, 2020 We evaluate several classes of high weight hypergeometric series via Gamma, polylogarithm and elliptic integrals, mainly through distribution relations.
arxiv +3 more sources