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Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution of such networks is a fundamental problem and has important applications in various fields.
Róbert Pethes, Levente Kovács
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Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun +3 more
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SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES
The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poisson distributions or the positive Poisson distributions. Recently, as a natural extension of those distributions, Kim–Kim studied the zero-truncated degenerate Poisson ...
Kim, Taekyun +6 more
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Recent Developments in Mixed Poisson Distributions
Mixed Poisson distributions are a class of distributions arising from the Poisson mean fluctuating as a random variable. Mixed Poisson distributions have been applied in diverse disciplines for modelling non-homogeneity in populations.
Seng Huat Ong +2 more
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Stochastic epidemiological model: Simulations of the SARS-CoV-2 spreading in Mexico
In this paper we model the spreading of the SARS-CoV-2 in Mexico by introducing a new stochastic approximation constructed from first principles, where the number of new infected individuals caused by a single infectious individual per unit time (a day),
Pablo Carlos López Vázquez +3 more
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Degenerate Dowling and degenerate r-Dowling polynomials were introduced earlier as degenerate versions and further generalizations of Dowling and r-Dowling polynomials.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Analysis of correlated count data using generalised linear mixed models exemplified by field data on aggressive behaviour of boars [PDF]
Population-averaged and subject-specific models are available to evaluate count data when repeated observations per subject are present. The latter are also known in the literature as generalised linear mixed models (GLMM).
N. Mielenz, J. Spilke, E. von Borell
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Relaxation of monotone coupling conditions: Poisson approximation and beyond [PDF]
It is well-known that assumptions of monotonicity in size-bias couplings may be used to prove simple, yet powerful, Poisson approximation results. Here we show how these assumptions may be relaxed, establishing explicit Poisson approximation bounds ...
Daly, Fraser, Johnson, Oliver
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POISSON APPROXIMATION FOR RANDOM SUMS OF POISSON RANDOM VARIABLES [PDF]
In this paper, we use the Stein-Chen method to determine a bound for the total variation distance between the distribution of random sums of independent Poisson random variables and an appropriate Poisson distribution. Two examples have been given to illustrate the result obtained.
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A new continuous four-parameter lifetime distribution is introduced by compounding the distribution of the maximum of a sequence of an independently identically exponentiated Lomax distributed random variables and zero truncated Poisson random variable ...
Devendra Kumar +3 more
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