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.
Highlights
There we propose apply Levy–Scheffer polynomials and to construct pseudomoments for more profound H
., we will use Scheffer’s polynomials [2, p
Summary
Bergstrom [1] published equation about two probability distributions F and G compositions F ∗n and G∗n difference: s Cμs −1F ∗(n−μ) ∗ (F − G)∗(s+1) ∗ G∗(μ−s−1)(B). Let’s say g(u), u ∈ R – non-negative function, which has characteristic: u g Ρ u g < Cg(u), where C independent from u, positive constant.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
