10 Result(s)
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Ch. A. Charalambides
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Article
Preface to a Special Issue in Memory of Professor Theophilos Cacoullos
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Chapter
A Review of the Basic Discrete q-Distributions
Consider a sequence of independent Bernoulli trials and assume that the probability (or odds) of success (or the probability (or odds) of failure) at a trial varies (increases or decreases) geometrically, with...
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Article
Derivation of a joint occupancy distribution via a bivariate inclusion and exclusion formula
Consider a supply of balls randomly distributed into n distinguishable urns and assume that the number of balls distributed into any specific urn is a random variable with pro...
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Chapter
A Unified Derivation of Occupancy and Sequential Occupancy Distributions
Consider a supply of balls randomly distributed in n + r distinguishable urns and assume that the number X of balls distributed in any specific urn is a random variable with probability function Pr[X = j] = q ...
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Article
On a generalization of Morisita's model for estimating the habitat preference
The Morisita's model for estimating the habitat preference by the ant lionsGenuroides japonicus is generalized by introducing, in addition to the environmental densitiesa andb, a repulsivity parameter ϑ. The prob...
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Article
On a generalized Eulerian distribution
The distribution with probability function p k(n, α, β) = A n, k(α, β)/(α+ β)[p], k = 0, 1, 2, ..., n, where the parameters α and β are positive real numbers, A n, k (α, β) is t...
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Article
On discrete distributions of orderk
The class of discrete distributions of orderk is defined as the class of the generalized discrete distributions with generalizer a discrete distribution truncated at zero and from the right away fromk+1. The prob...
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Article
On bivariate generalized binomial and negative binomial distributions
The present paper deals with two types of generalized general binomial (binomial or negative binomial) distributions: (i) a univariate general binomial generalized by a bivariate distribution and (ii) a bivari...
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Chapter and Conference Paper
Bivariate Generalized Discrete Distributions and Bipartitional Polynomials
If Z and (X, Y) are independent discrete random variables with probability generating functions f(u) and g(τ, t), respectively, then the generalized random variable (V,W) has probability generating function h ...
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Article
The asymptotic normality of certain combinatorial distributions
The numbersC(m, n, s) and |C(m, n, −s)|,s>0, appearing in then-fold convolution of truncated binomial and negative binomial distributions, respectively, are shown to be asymptotically normal. Moreover a concavity...
