Results 1 to 10 of about 74,881 (294)
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 +2 more sources
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
doaj +4 more sources
Exponential bounds for the hypergeometric distribution. [PDF]
Bernoulli (Andover), 2017 38 pages, 5 ...
Greene E, Wellner JA.
europepmc +5 more sources
Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions [PDF]
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
doaj +2 more sources
An Urn Model Approach for Deriving Multivariate Generalized Hypergeometric Distributions [PDF]
, 2013 We propose new generalized multivariate hypergeometric distributions, which extremely resemble the classical multivariate hypergeometric distributions. The proposed distributions are derived based on an urn model approach. In contrast to existing methods,
Chen, Xinjia
core +3 more sources
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 +2 more sources
The maximum negative hypergeometric distribution [PDF]
, 2018 An urn contains a known number of balls of two different colors. We describe the random variable counting the smallest number of draws needed in order to observe at least $\,c\,$ of both colors when sampling without replacement for a pre-specified value of $\,c=1,2,\ldots\,$.
Daniel Zelterman
openalex +3 more sources
Properties of the Extended Hypergeometric Distribution [PDF]
The Annals of Mathematical Statistics, 1965 W. L. Harkness
openalex +3 more sources
AIMS MathematicsWe introduced the Gauss hypergeometric Gleser (GHG) distribution, a novel extension of the Gleser (G) distribution that unifies families of Gleser distributions.
Neveka M. Olmos +2 more
doaj +2 more sources
A Conway–Maxwell–Poisson Type Generalization of Hypergeometric Distribution
Mathematics, 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 +1 more source