Weak convergence of random sums under nonrandom centering

Journal Article · Fri Aug 25 00:00:00 EDT 1995 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/BF02362698· OSTI ID:161609

Kruglov, V M ^[1]

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1. Moscow State Univ. (Russian Federation)

Necessary and sufficient conditions are obtained for the weak convergence of nonrandomly centered and normalized random sums of independent identically distributed random variables. Limit distributions for these sums are described.

• Sponsoring Organization: USDOE
• OSTI ID: 161609
• Journal Information: Journal of Mathematical Sciences, Vol. 76, Issue 2; Other Information: PBD: 25 Aug 1995
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
SERIES EXPANSION
CONVERGENCE
RANDOMNESS
STATISTICAL MODELS
SUM RULES