A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space valued martingales. As applications of this inequality, the strong law of large numbers and integrability of the supremum of Banach space valued martingales are also given.Banach space valued martingale Hájek-Rényi inequality p-smoothable space Strong law of large numbers
Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued ra...
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by ...
AbstractThe main result of this paper is the derivation of a convergence theorem for certain marting...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
Applications of Whittle's inequality for Banach space valued martingales are discussed generalizing ...
Applications of Whittle's inequality for Banach space valued martingales are discussed generalizing ...
© 2015 Society for Industrial and Applied Mathematics. Certain previously known upper bounds on the ...
summary:We establish the Doob inequality for martingale difference arrays and provide a sufficient c...
The aim of this paper is to establish some strong laws of large numbers and -convergence for double ...
The main result of this paper is the derivation of a convergence theorem for certain martingales wit...
We prove the compact law of the iterated logarithm for stationary and ergodic differences of (revers...
Abstract: Certain previously known upper bounds on the moments of the norm of martingales in 2-smoot...
We study the relationship between the geometry of a real separable Banach space B (as manifested in ...
AbstractThis paper is concerned with large-O error estimates concerning convergence in distribution ...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued ra...
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by ...
AbstractThe main result of this paper is the derivation of a convergence theorem for certain marting...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
Applications of Whittle's inequality for Banach space valued martingales are discussed generalizing ...
Applications of Whittle's inequality for Banach space valued martingales are discussed generalizing ...
© 2015 Society for Industrial and Applied Mathematics. Certain previously known upper bounds on the ...
summary:We establish the Doob inequality for martingale difference arrays and provide a sufficient c...
The aim of this paper is to establish some strong laws of large numbers and -convergence for double ...
The main result of this paper is the derivation of a convergence theorem for certain martingales wit...
We prove the compact law of the iterated logarithm for stationary and ergodic differences of (revers...
Abstract: Certain previously known upper bounds on the moments of the norm of martingales in 2-smoot...
We study the relationship between the geometry of a real separable Banach space B (as manifested in ...
AbstractThis paper is concerned with large-O error estimates concerning convergence in distribution ...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued ra...
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by ...
AbstractThe main result of this paper is the derivation of a convergence theorem for certain marting...