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On signed normal-Poisson approximations
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  • Published: August 1998

On signed normal-Poisson approximations

  • Vydas Čekanavičius1 

Probability Theory and Related Fields volume 111, pages 565–583 (1998)Cite this article

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Abstract.

For lattice distributions a convolution of two signed Poisson measures proves to be an approximation comparable with the normal law. It enables to get rid of cumbersome summands in asymptotic expansions and to obtain estimates for all Borel sets. Asymptotics can be constructed two-ways: by adding summands to the leading term or by adding summands in its exponent. The choice of approximations is confirmed by the Ibragimov-type necessary and sufficient conditions.

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Authors and Affiliations

  1. Department of Mathematics, Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania. e-mail: Vydas.Cekanavicius@maf.vu.lt, , , , , , LT

    Vydas Čekanavičius

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  1. Vydas Čekanavičius
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Received: 20 November 1996 / Revised version: 5 December 1997

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Čekanavičius, V. On signed normal-Poisson approximations. Probab Theory Relat Fields 111, 565–583 (1998). https://doi.org/10.1007/s004400050178

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  • Issue Date: August 1998

  • DOI: https://doi.org/10.1007/s004400050178

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  • Mathematics Subject Classification (1991): 60 F05
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