Výsledky vyhledávání - "compound Poisson process"

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A New Compound Poisson Process and Its Fractional Versions

Autor: Vellaisamy, Palaniappan, Ichiba, Tomoyuki

We consider a weighted sum of a series of independent Poisson random variables and show that it results in a new compound Poisson distribution which includes the Poisson distribution and Poisson distribution of order k. An explicit representation for

Externí odkaz: http://arxiv.org/abs/2407.18217

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Compound Poisson process approximation under $\beta$-mixing and stabilization

Autor: Chenavier, Nicolas, Otto, Moritz

We establish Poisson and compound Poisson approximations for stabilizing statistics of $\beta$-mixing point processes and give explicit rates of convergence. Our findings are based on a general estimate of the total variation distance of a stationary

Externí odkaz: http://arxiv.org/abs/2310.15009

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A conditional compound Poisson process approach to the sparse Erd\H{o}s-R\'enyi random graphs: moderate deviations

Autor: Sun, Wen

We construct a compound Poisson process conditioned on its random summation that represents the sizes of the connected components in the sparse Erd\H{o}s-R\'enyi random graph $G(n,c/n)$. This new representation depicts a connection between the phase

Externí odkaz: http://arxiv.org/abs/2310.06348

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Fractional Generalizations of the Compound Poisson Process

Autor: Gupta, Neha, Maheshwari, Aditya

This paper introduces the Generalized Fractional Compound Poisson Process (GFCPP), which claims to be a unified fractional version of the compound Poisson process (CPP) that encompasses existing variations as special cases. We derive its distribution

Externí odkaz: http://arxiv.org/abs/2307.12252

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Novel Computation-Efficient Single-Image Super-Resolution Based on Hierarchical Dirichlet Process Using Compound Poisson Process.

Autor: Khalili Sadaghiani, Abdol Vahab¹ (AUTHOR) vahabkhalili@ut.ac.ir, Sargolzaei, Hamid¹ (AUTHOR) hsargolzaei@ut.ac.ir, Forouzandeh, Behjat¹ (AUTHOR) bforooz@ut.ac.ir

Publikováno v: International Journal of Image & Graphics. Sep2024, p1. 16p.