“…Suppose that for any > 0 there exists a finite-dimensional subspace V such that IP(X ∈V ) ≤ . Then [8] where V is a set of all open balls in that Hilbert space (Bakštys [9]). Let X, X , X 1 , .…”
We overview the results on the topic of compound Poisson approximation to the distribution of a sum Sn = X 1 + • • • + Xn of (possibly dependent) random variables. We indicate a number of open problems and discuss directions of further research.
“…Suppose that for any > 0 there exists a finite-dimensional subspace V such that IP(X ∈V ) ≤ . Then [8] where V is a set of all open balls in that Hilbert space (Bakštys [9]). Let X, X , X 1 , .…”
We overview the results on the topic of compound Poisson approximation to the distribution of a sum Sn = X 1 + • • • + Xn of (possibly dependent) random variables. We indicate a number of open problems and discuss directions of further research.
We overview the results on the topic of compound Poisson approximation to the distribution of a sum Sn = X 1 + • • • + Xn of (possibly dependent) random variables. We indicate a number of open problems and discuss directions of further research.
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