On the complete convergence for randomly indexed partial sums and the limit behaviour of a sequence of quantiles

DOI10.1016/0378-3758(92)90163-MzbMath0809.60037OpenAlexW2037466359MaRDI QIDQ1194003

Anna Kuczmaszewska, Dominik Szynal

Publication date: 27 September 1992

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90163-m

zbMATH Keywords

complete convergenceslowly varying functionrandom indiceslimit behaviour of quantiles

Mathematics Subject Classification ID

Strong limit theorems (60F15) Distribution theory (60E99)

Cites Work

• Complete convergence and convergence rates for randomly indexed partial sums with an application to some first passage times
• Convergence Rates in the Law of Large Numbers
• The Probability in the Tail of a Distribution
• Sums of independent Banach space valued random variables
• Complete Convergence and the Law of Large Numbers
• Note on the Strong Law of Large Numbers
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