Results 21 to 30 of about 74,881 (294)

Central limit theorems for a hypergeometric randomly reinforced urn [PDF]

open access: yes, 2015
We consider a variant of the randomly reinforced urn where more balls can be simultaneously drawn out and balls of different colors can be simultaneously added.
Crimaldi, Irene
core   +2 more sources

A-hypergeometric distributions and Newton polytopes [PDF]

open access: yesAdvances 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
openaire   +3 more sources

Properties of Matrix Variate Confluent Hypergeometric Function Distribution

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
doaj   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

open access: yesMathematics, 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
doaj   +1 more source

A Note on the New Extended Beta Function with Its Application

open access: yesJournal 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
doaj   +1 more source

Properties and Applications of Extended Hypergeometric Functions

open access: yesIngeniería 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
doaj   +1 more source

One-dimensional stable probability density functions for rational index 0<α≤2 [PDF]

open access: yes, 2008
Fox’s H-function provide a unified and elegant framework to tackle several physical phenomena. We solve the space fractional diffusion equation on the real line equipped with a delta distribution initial condition and identify the corresponding H ...
Agapitos Hatzinikitas   +28 more
core   +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   +1 more source

Properties of Matrix Variate Beta Type 3 Distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
We study several properties of matrix variate beta type 3 distribution. We also derive probability density functions of the product of two independent random matrices when one of them is beta type 3.
Arjun K. Gupta, Daya K. Nagar
doaj   +1 more source

New Mathematical Model to Analyze Security of Sharding-Based Blockchain Protocols

open access: yesIEEE Access, 2019
In recent years, the scalability issue of blockchain protocols has received huge attention. Sharding is one of the most promising solutions to scale blockchain.
Abdelatif Hafid   +2 more
doaj   +1 more source

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