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Convergence rate estimates in local limit theorems for Poisson random sums

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Publication:1585953
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DOI10.1007/BF02673718zbMath0968.60022MaRDI QIDQ1585953

V. Yu. Korolev, Yu. V. Zhukov

Publication date: 2 September 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

characteristic functionslocal limit theoremsPoisson random sums


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items

Local limit theorems without assuming finite third moment ⋮ Asymptotic expansion for the distribution density function of the compound Poisson process in large deviations ⋮ Local limit theorems for collective risk models



Cites Work

  • On the rate of convergence in the local limit theorem for densities
  • Lower and upper bounds for characteristic functions
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