On order statistics for random sample size having compound binomial and Poisson distributions
Zofia Grudzień, D. Szynal (1982)
Applicationes Mathematicae
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Displaying similar documents to “Convergence in distribution for subset counts between random sets.”
On order statistics for random sample size having compound binomial and Poisson distributions
Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)
C. Ryll-Nardzewski (1954)
Studia Mathematica
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Moment inequalities connected with accompanying Poisson laws in Abelian groups.
Borisov, I.S. (2003)
International Journal of Mathematics and Mathematical Sciences
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Poisson perturbations
Andrew D. Barbour, Aihua Xia (2010)
ESAIM: Probability and Statistics
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Stein's method is used to prove approximations in total variation to the distributions of integer valued random variables by (possibly signed) compound Poisson measures. For sums of independent random variables, the results obtained are very explicit, and improve upon earlier work of Kruopis (1983) and Čekanavičius (1997); coupling methods are used to derive concrete expressions for the error bounds. An example is given to illustrate the potential for application to sums of dependent...