NDLI: A Remark on the Strong Law of Large Numbers

Content Provider	Scilit
Author	Chen, Robert
Copyright Year	1976
Description	Let be mutually independent random variables such that and for all . For each let ; then, by the Kolmogorov criterion for mutually independent random variables, almost surely as for any positive constant . A deeper understanding of this theorem will be facilitated if we know the order of magnitude of as , where is the integer-valued random variable defined by . The present note does the work for a wide class of random variables by using Esseen's theorem and Katz-Petrov's theorem.
Related Links	https://www.ams.org/proc/1976-061-01/S0002-9939-1976-0420802-1/S0002-9939-1976-0420802-1.pdf
Ending Page	116
Page Count	5
Starting Page	112
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2041675
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	61
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Remark Strong Law of Large Law of Large Numbers
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A Remark on the Strong Law of Large Numbers