Results 31 to 40 of about 6,151,667 (279)
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
doaj
Turkish Journal of Mathematics, 2019 The aim of this paper is to not only provide a definition of a new family of special numbers and polynomials of higher-order with their generating functions, but also to investigate their fundamental properties in the spirit of probabilistic ...
İrem Küçükoğlu +2 more
semanticscholar +1 more source
Mathematics, 2016 In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
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Slash-Weighted Lindley Distribution: Properties, Inference, and Applications
Mathematics, 2023 The slash-weighted Lindley model is introduced due to the need to obtain a model with more kurtosis than the weighted Lindley distribution. Several expressions for the pdf of this model are given.
Jaime S. Castillo +3 more
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MathematicsA sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary +2 more
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Properties and Applications of Extended Hypergeometric Functions
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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A Note on the New Extended Beta Function with Its Application
Journal of Mathematics, 2021 The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya +3 more
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An Error Analysis for Polynomial Optimization over the Simplex Based on the Multivariate Hypergeometric Distribution [PDF]
SIAM Journal on Optimization, 2014 We study the minimization of fixed-degree polynomials over the simplex. This problem is well-known to be NP-hard, as it contains the maximum stable set problem in graph theory as a special case.
E. Klerk, M. Laurent, Zhao Sun
semanticscholar +1 more source
Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions
International Journal of Mathematics and Mathematical Sciences, 2015 Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally ...
Daya K. Nagar +2 more
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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.
C. D. Kemp, Adrienne W. Kemp
openaire +2 more sources