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Properties and Applications of Extended Hypergeometric Functions [PDF]
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar +2 more
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Application of Hypergeometric Distribution Series on Certain Subclass of Analytic Functions [PDF]
International Journal of Analysis and Applications, 2016 The object of the present paper is to give some characterizations for hypergeometric distribution series to be in various subclasses of analytic functions.
Trailokya Panigrahi
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MethodsX, 2021 In probability theory and statistics, the probability distribution of the sum of two or more independent and identically distributed (i.i.d.) random variables is the convolution of their individual distributions.
Arne Johannssen +2 more
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A-hypergeometric distributions and Newton polytopes [PDF]
Advances in Applied Mathematics, 2018 We give a bijection between a quotient space of the parameters and the space of moments for any $A$-hypergeometric distribution. An algorithmic method to compute the inverse image of the map is proposed utilizing the holonomic gradient method and an asymptotic equivalence of the map and the iterative proportional scaling.
Nobuki Takayama +2 more
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Frontiers in Microbiology, 2023 Male infertility has always been one of the important factors affecting the infertility of couples of gestational age. The reasons that affect male infertility includes living habits, hereditary factors, etc.
Xuan Jia, ZhiXiang Yin, Yu Peng
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Bounds on the information divergence for hypergeometric distributions [PDF]
Kybernetika, 2021 21 pages, 2 ...
Peter Harremoës, Frantisek Matús
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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Generalized Hypergeometric Distributions
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1956 Summary An examination is made of the conditions under which the hypergeometric series provides discrete frequency distributions; eight sets of conditions exist. Urn model representations, other derivations and special forms are discussed. The limiting forms are positive and negative binomials and the Poisson distribution.
Kemp, C. D., Kemp, A. W.
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A general noncentral hypergeometric distribution [PDF]
, 2017 We construct a general non-central hypergeometric distribution, which models biased sampling without replacement. Our distribution is constructed from the combined order statistics of two samples: one of independent and identically distributed random ...
Taylor, PG, Loertscher, S, Muir, EV
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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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