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Perfect simulation for correlated Poisson random variables conditioned to be positive
Statistics and Computing, 2002In this paper we present a perfect simulation method for obtaining perfect samples from collections of correlated Poisson random variables conditioned to be positive. We show how to use this method to produce a perfect sample from a Boolean model conditioned to cover a set of points: in W.S. Kendall and E. Thonnes (Pattern Recognition 32(9): 1569–1586,
Yuzhi Cai, Wilfrid S. Kendall
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Large Deviation Principle for Poisson Random Variables and Young Diagrams
Problems of Information Transmission, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compound Poisson approximations for sums of 1-dependent random variables. I
Lithuanian Mathematical Journal, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrauskienė, J., Čekanavičius, V.
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Bayesian Poisson regression for crowd counting
IEEE International Conference on Computer Vision, 2009Poisson regression models the noisy output of a counting function as a Poisson random variable, with a log-mean parameter that is a linear function of the input vector.
Antoni B. Chan, N. Vasconcelos
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Poisson approximation for sums of dependent Bernoulli random variables
2006Summary: We use the Stein-Chen method to determine a non-uniform bound for approximating the distribution of sums of dependent Bernoulli random variables by Poisson distribution. We give two formulas of non-uniform bounds and their applications.
Teerapabolarn, Al-Kanint +1 more
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Probabilistic Degenerate Bell Polynomials Associated with Random Variables
Russian journal of mathematical physics, 2023T. Kim, D. Kim
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THE FACTORIAL MOMENT OF A POISSON RANDOM VARIABLE AND THE -NONCENTRALDOWLING NUMBERS
Far East Journal of Theoretical StatisticsThis paper explores the nth q-factorial moments of a Poisson random variable and their connection to the q-noncentral Dowling polynomials and numbers. Fundamental properties are established, and several special cases are presented.
Omar I. Cauntongan +2 more
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On the sum of independent zero-truncated Poisson random variables [PDF]
The objective of this article is to derive the density function and cumulative distribution function for random variables which may be written as the sum of independent (either identical or non-identical) zerotruncated Poisson random variables. The obtained expressions may be particularly useful for modelling purposes, especially in view of linking ...
SPRINGAEL, Johan +1 more
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