Results 11 to 20 of about 775,098 (192)

On Poisson Approximation [PDF]

open access: yesJournal of Theoretical Probability
AbstractThe problem of evaluating the accuracy of Poisson approximation to the distribution of a sum of independent integer-valued random variables has attracted a lot of attention in the past six decades. Among authors who contributed to the topic are Prokhorov, Kolmogorov, LeCam, Shorgin, Barbour, Hall, Deheuvels, Pfeifer, Roos, and many others. From
Novak, S.
core   +4 more sources

Prediction in Poisson and other errors in variables models. [PDF]

open access: yes, 1997
We want to be able to use information about the traffic flows at road junctions and covariates describing those junctions to predict the number of accidents occurring there. We develop here a Bayesian predictive approach. Initially we considered
Malheiro de Magalhaes, Fernando Jose
core   +6 more sources

Approximation Results for Sums of Independent Random Variables

open access: yesRevstat Statistical Journal, 2022
In this article, we consider Poisson and Poisson convoluted geometric approximation to the sums of n independent random variables under moment conditions. We use Stein’s method to derive the approximation results in total variation distance.
Pratima Eknath Kadu
doaj   +1 more source

On approximation by the Poisson law

open access: yesLietuvos Matematikos Rinkinys, 2002
There is not abstract.
Vydas Čekanavičius
doaj   +3 more sources

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

Nonuniform estimates in the approximation by the Poisson law

open access: yesLietuvos Matematikos Rinkinys, 2023
Poisson approximation for the sum of independent random variables is investigates in this paper.
Kazimieras Padvelskis
doaj   +3 more sources

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

Improved log-Gaussian approximation for over-dispersed Poisson regression: Application to spatial analysis of COVID-19.

open access: yesPLoS ONE, 2022
In the era of open data, Poisson and other count regression models are increasingly important. Still, conventional Poisson regression has remaining issues in terms of identifiability and computational efficiency.
Daisuke Murakami, Tomoko Matsui
doaj   +1 more source

On approximation of functions from the class $L^{\psi}_{\beta, 1}$ by the Abel-Poisson integrals in the integral metric

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In the paper, we investigate an asymptotic behavior of the sharp upper bounds in the integral metric of deviations of the Abel-Poisson integrals from functions from the class $L^{\psi}_{\beta, 1}$.
T.V. Zhyhallo, Yu.I. Kharkevych
doaj   +1 more source

Poisson inverse problems [PDF]

open access: yes, 2006
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jérémie
core   +1 more source

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