A-hypergeometric distributions and Newton polytopes [PDF]
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
A Conway–Maxwell–Poisson Type Generalization of Hypergeometric Distribution
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
A new approach to precise interval estimation for the parameters of the hypergeometric distribution
We study interval estimation for both parameters of the hypergeometric distribution: (i) the number of successes in a finite population and (ii) the size of the population.
M. Schilling, Alyssa Stanley
semanticscholar +1 more source
ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
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
doaj +1 more source
Multivariate Generalization of the Gauss Hypergeometric Distribution [PDF]
The Gauss hypergeometric distribution with the density proportional to x 1 (1 x) 1 (1 +x ) , 0 < x < 1 arises in connection with the prior distribution of the parameter (0 < < 1) representing trac intensity in aM=M=1 queue system. In this article, we define and study a multivariate generalization of this distribution and derive some of its properties ...
Nagar, Daya Krishna+2 more
openaire +5 more sources
Analyzing the Odds Ratio Via Distribution Function
Objective:The use of cross tables was frequently seen in early literature research in the biostatistics. Furthermore, its importance in many clinical examinations is still evident today. The aim of this study is to investigate how the 2x2 type tables are
Mehmet GÜRCAN+2 more
doaj +1 more source
Phase properties of hypergeometric states and negative hypergeometric states [PDF]
We show that the three quantum states (P$\acute{o}$lya states, the generalized non-classical states related to Hahn polynomials and negative hypergeometric states) introduced recently as intermediates states which interpolate between the binomial states and negative binomial states are essentially identical.
arxiv +1 more source
New Mathematical Model to Analyze Security of Sharding-Based Blockchain Protocols
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
Estimating probabilistic dark diversity based on the hypergeometric distribution
The biodiversity of a site includes the absent species from the region that are theoretically able to live in the site’s particular ecological conditions. These species constitute the dark diversity of the site.
C. P. Carmona+2 more
semanticscholar +1 more source
Partition structure and the $A$-hypergeometric distribution associated with the rational normal curve [PDF]
A distribution whose normalization constant is an A-hypergeometric polynomial is called an A-hypergeometric distribution. Such a distribution is in turn a generalization of the generalized hypergeometric distribution on the contingency tables with fixed ...
S. Mano
semanticscholar +1 more source