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Bounds in poisson approximation for random sums of Bernoulli random variables
Let X[subscript n] be a sequence of Bernoulli random variables and a positive integer-valued random variable. Define S[subscript N] = X₁ +X₂ +… X [subscript n]) be random sums. Assume N, X₁, X₂, … are independent. In this thesis, we establish uniform and non-uniform bounds in Poisson approximation for S[subscript N]openaire +1 more source
On stability of stochastic differential equations with random impulses driven by Poisson jumps
Stochastics, 2021A Anguraj, Juan J Nieto
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Fractional Poisson processes and related planar random motions
Electronic Journal of Probability, 2009Luisa Beghin, Enzo Orsingher
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Poisson convergence and poisson processes with applications to random graphs
Stochastic Processes and Their Applications, 1987Svante Janson
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Random variate generators for the Poisson—Poisson and related distributions
Computational Statistics and Data Analysis, 1989Luc Devroye
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Optimal design for quasi-likelihood estimation in Poisson regression with random coefficients
Journal of Statistical Planning and Inference, 2013Mehrdad Niaparast, Rainer Schwabe
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On the Stability of Static Poisson Networks Under Random Access
IEEE Transactions on Communications, 2016Yi Zhong +2 more
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