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Compound Poisson Approximation of the Number of Exceedances in Gaussian Sequences
Extremes, 1999For a finite stationary sequence of Gaussian random variables \(y_1,y_2,\dots,y_n\) with \(\rho_k=Ey_1y_{k+1}\), \(k=2,\dots,n-1\), define \(W\) as the number of variables exceeding some given level \(a\). When some \(\rho_k\) are positive and large, the author proposes to use the compound Poisson distribution which provides better rate of convergence ...
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Some results on Poisson and compound Poisson approximation
Advances in Applied Probability, 1992openaire +1 more source
Compound Poisson Approximation for Nonnegative Random Variables Via Stein's Method
Annals of Probability, 1992A D Barbour, Louis H Y Chen
exaly
Compound Poisson approximation with association or negative association via Stein's method
Electronic Communications in Probability, 2013Fraser Daly
exaly
Applications of Compound Poisson Approximation
2000A Barbour, O Chryssaphinou, E Vaggelatou
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Approximation of Symmetric Three-State Markov Chain by Compound Poisson Law
Lithuanian Mathematical Journal, 2016V Cekanavicius
exaly
On compound Poisson approximation for sums of random variables
Statistics and Probability Letters, 1999P Vellaisamy
exaly
Compound Poisson Approximation for Markov Chains using Stein’s Method
Annals of Probability, 1999exaly

