Zapiski Nauchnykh Seminarov POMI
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Zap. Nauchn. Sem. POMI: Year: Volume: Issue: Page: Find

 Zap. Nauchn. Sem. POMI, 2018, Volume 474, Pages 118–123 (Mi znsl6672)

On improvement of the estimate of the distance between sequential sums of independent random variables

Ya. S. Golikovaab

a Saint Petersburg State University, Saint Petersburg, Russia
b Baltic State Technical University, St. Petersburg, Russia

Abstract: The aim of the present paper is to improve the previously obtained estimate of the constant in the inequality for the uniform distance between $n$ and $(n + 1)$-fold convolution of one-dimensional probability distributions in the case where distribution $F$ has $0$ as $q$-quantile.

Key words and phrases: uniform distance, sum of independent identically distributed random variables, concentration functions, inequalities, estimate of the absolute constant.

 Funding Agency Grant Number Saint Petersburg State University 6.37.65.2017

Full text: PDF file (132 kB)
References: PDF file   HTML file
UDC: 519.2

Citation: Ya. S. Golikova, “On improvement of the estimate of the distance between sequential sums of independent random variables”, Probability and statistics. Part 27, Zap. Nauchn. Sem. POMI, 474, POMI, St. Petersburg, 2018, 118–123

Citation in format AMSBIB
\Bibitem{Gol18} \by Ya.~S.~Golikova \paper On improvement of the estimate of the distance between sequential sums of independent random variables \inbook Probability and statistics. Part~27 \serial Zap. Nauchn. Sem. POMI \yr 2018 \vol 474 \pages 118--123 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6672} 

• http://mi.mathnet.ru/eng/znsl6672
• http://mi.mathnet.ru/eng/znsl/v474/p118

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Ya. S. Golikova, “O vychislenii konstant v neravenstvakh Araka dlya funktsii kontsentratsii svertok veroyatnostnykh raspredelenii”, Veroyatnost i statistika. 28, Zap. nauchn. sem. POMI, 486, POMI, SPb., 2019, 86–97
•  Number of views: This page: 55 Full text: 17 References: 8