Abstract
Sums of independent random variables concentrated on discrete, not necessarily lattice, set of points are approximated by infinitely divisible distributions and signed compound Poisson measures. A version of Kolmogorov's first uniform theorem is proved. Second-order asymptotic expansions are constructed for distributions with pseudo-lattice supports.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference36 articles.
1. Approximation of convolutions by accompanying laws under the existence of moments of low order;Zaitsev;Zapiski Nauchn. Semin. POMI,1996
2. Approximation of Binomial Distributions by Infinitely Divisible Ones
3. Approximation of convolutions of multi-dimensional symmetric distributions by accompanying laws
4. Poisson perturbations
5. On asymptotic expansion of probability functions;Bergström;Skand. Aktuar.,1951
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