H. Bergstrom’s asymptotic expansions
Articles
Algimantas Bikelis
Vilnius University
Audrius Galinskis
Vilnius University
Published 2008-12-28
https://doi.org/10.15388/LMR.2008.18126
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Keywords

Bergstrom identity
Levy-Scheffer polynomials

How to Cite

Bikelis, A. and Galinskis, A. (2008) “H. Bergstrom’s asymptotic expansions”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 381–385. doi:10.15388/LMR.2008.18126.

Abstract

In this work it is researched H. Bergstrom work about asymptotic behavior of convolutions of probability distributions. We give the theorem about the members of expansion in decreasing order and the remainder term estimation. There we propose apply Levy–Scheffer polynomials and to construct pseudomoments for more profound H. Bergstrom’s asymptotic expansion investigations.

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