Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued random vectors are proved. As an application some results on the complete convergence and the strong law of large numbers are obtained. Some well-known results are improved and extended.(q,p)-Woyczynski-Assouad sequence Banach spaces of type p p-Smoothable Banach spaces Moment inequality Complete convergence Strong law of large numbers
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Bana...
[[abstract]]A strong law of large numbers is proved for tight, independent random elements (in a sep...
A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space...
If B is a separable Banach space, we prove that, for every sequence of B-valued independent identica...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
In This Article We establish moment inequality of dependent random variables,furthermore some theore...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
Abstract Some ~nequallties for moments of partial sums of a B-valued strong mixing field are establi...
summary:The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of re...
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of la...
This note examines the connection between general moment conditions and the applicability of the str...
ABSTRACT: Sufficient conditions are given under which a sequence of independent random elements taki...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
ABSTRACT. Consider a sequence of independent random elements {Vn, n> in a real separable normed l...
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Bana...
[[abstract]]A strong law of large numbers is proved for tight, independent random elements (in a sep...
A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space...
If B is a separable Banach space, we prove that, for every sequence of B-valued independent identica...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
In This Article We establish moment inequality of dependent random variables,furthermore some theore...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
Abstract Some ~nequallties for moments of partial sums of a B-valued strong mixing field are establi...
summary:The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of re...
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of la...
This note examines the connection between general moment conditions and the applicability of the str...
ABSTRACT: Sufficient conditions are given under which a sequence of independent random elements taki...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
ABSTRACT. Consider a sequence of independent random elements {Vn, n> in a real separable normed l...
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Bana...
[[abstract]]A strong law of large numbers is proved for tight, independent random elements (in a sep...
A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space...