Original scientific paper

https://doi.org/10.3336/gm.52.2.11

The Davis-Gut law for independent and identically distributed Banach space valued random elements

Pingyan Chen ; Department of Mathematics, Jinan Unversity, Guangzhou, 510630, P. R. China
Mingyang Zhang ; Department of Mathematics, Jinan Unversity, Guangzhou, 510630, P. R. China
Andrew Rosalsky orcid.org/0000-0002-7011-4447 ; Department of Statistics, University of Florida, Gainesville, FL 32611, USA

Abstract

An analog of the Davis-Gut law for a sequence of independent and identically distributed Banach space valued random elements is obtained, which extends the result of Li and Rosalsky (A supplement to the Davis-Gut law. J. Math. Anal. Appl. 330 (2007), 1488-1493).

Keywords

Davis-Gut law; law of the iterated logarithm; sequence of independent and identically distributed Banach space valued random elements

Hrčak ID:

189338

URI

https://hrcak.srce.hr/189338

Publication date:

13.11.2017.

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