Results 11 to 20 of about 5,110,179 (281)

A Generalization of the Hypergeometric Distribution [PDF]

open access: yesSultan 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   +4 more sources

The Confluent Hypergeometric Beta Distribution

open access: yesMathematics, 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   +2 more sources

Properties of Matrix Variate Confluent Hypergeometric Function Distribution [PDF]

open access: yesJournal of Probability and Statistics, 2016
We study matrix variate confluent hypergeometric function kind 1 distribution which is a generalization of the matrix variate gamma distribution. We give several properties of this distribution. We also derive density functions of X2-1/2X1X2-1/2, (X1+X2)-
Arjun K. Gupta   +2 more
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Hahn polynomials for hypergeometric distribution [PDF]

open access: yesAdvances in Applied Mathematics, 2022
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 ...
Plamen Iliev, Yuan Xu
openaire   +4 more sources

Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions [PDF]

open access: yesInternational 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
doaj   +2 more sources

Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions

open access: yesMathematics
A 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
doaj   +2 more sources

On hypergeometric generalized negative binomial distribution [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic.
M. E. Ghitany   +2 more
doaj   +2 more sources

A Conway–Maxwell–Poisson Type Generalization of Hypergeometric Distribution [PDF]

open access: yesMathematics, 2023
The hypergeometric distribution has gained its importance in practice as it pertains to sampling without replacement from a finite population. It has been used to estimate the population size of rare species in ecology, discrete failure rate in ...
Sudip Roy   +2 more
doaj   +2 more sources

A new generalization of gamma, beta hypergeometric and confluent hypergeometric functions [PDF]

open access: yesLe Matematiche, 2013
The main object of this paper is to present new generalizations of gamma, beta hypergeometric  and confluent hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas, differentiation formulas, beta distribution and
Rakesh Kumar Parmar
doaj   +2 more sources

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