Results 21 to 30 of about 267,629 (319)

An Exact and an Approximation Method to Compute the Degree Distribution of Inhomogeneous Random Graph Using Poisson Binomial Distribution

open access: yesMathematics, 2023
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
doaj   +1 more source

Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials

open access: yesOpen Mathematics, 2021
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
doaj   +1 more source

SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES

open access: yesFractals, 2022
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
openaire   +2 more sources

Recent Developments in Mixed Poisson Distributions

open access: yesASM Science Journal, 2021
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
doaj   +1 more source

Stochastic epidemiological model: Simulations of the SARS-CoV-2 spreading in Mexico

open access: yesPLoS ONE, 2022
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
doaj   +2 more sources

Poisson degenerate central moments related to degenerate Dowling and degenerate r-Dowling polynomials

open access: yesApplied Mathematics in Science and Engineering, 2022
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
doaj   +1 more source

Analysis of correlated count data using generalised linear mixed models exemplified by field data on aggressive behaviour of boars [PDF]

open access: yesArchives Animal Breeding, 2015
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
doaj   +1 more source

Relaxation of monotone coupling conditions: Poisson approximation and beyond [PDF]

open access: yes, 2017
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
core   +4 more sources

POISSON APPROXIMATION FOR RANDOM SUMS OF POISSON RANDOM VARIABLES [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2014
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.
openaire   +1 more source

The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data

open access: yesAustrian Journal of Statistics, 2021
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
doaj   +1 more source

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