AbstractLet {X,Xn;n⩾0} be a sequence of independent and identically distributed random variables, taking values in a separable Banach space B with topological dual B⁎. Considering the geometrically weighted series ξ(β)=∑n=0∞βnXn for 0<β<1, motivated by Einmahl and Li (2005, 2008), a general law of the iterated logarithm for ξ(β) is established
AbstractLet X be a (real) separable Banach space, let {Vk} be a sequence of random elements in X, an...
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Let $ \{Y_n, n\geq 1\} $ be sequence of random variables with $ EY_n = 0 $ and $ \sup_nE|Y_n|^p <...
Let {Xn; n[greater-or-equal, slanted]0} be a sequence of negatively associated random variables. we ...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
AbstractGeometrically weighted i.i.d. random variables {Yn} which are bounded above are shown to exh...
The paper proves a functional local law of the iterated logarithm and a moderate deviation principle...
In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versi...
For weighted randomly indexed sums of the form [summation operator]j=1Nnanj(Vnj-cnj) where {anj,j[gr...
AbstractConsider a generalized random variable X assuming values in a Banach space X with conjugate ...
Let {X,Xn; n ≥ 1} be a sequence of i.i.d. random vari-ables with distribution function F (x). For ea...
Let $ { X_n : n geqq 1 } $ be a sequence of i.i.d. Banach space valued random variables with $ E[X_n...
Chow and Teicher proved in (1) the following law of iterated logarithm for a type of weighted sums o...
AbstractLet {Xn,n⩾1} be a sequence of i.i.d. random vectors taking values in a 2-smooth separable Ba...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
AbstractLet X be a (real) separable Banach space, let {Vk} be a sequence of random elements in X, an...
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Let $ \{Y_n, n\geq 1\} $ be sequence of random variables with $ EY_n = 0 $ and $ \sup_nE|Y_n|^p <...
Let {Xn; n[greater-or-equal, slanted]0} be a sequence of negatively associated random variables. we ...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
AbstractGeometrically weighted i.i.d. random variables {Yn} which are bounded above are shown to exh...
The paper proves a functional local law of the iterated logarithm and a moderate deviation principle...
In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versi...
For weighted randomly indexed sums of the form [summation operator]j=1Nnanj(Vnj-cnj) where {anj,j[gr...
AbstractConsider a generalized random variable X assuming values in a Banach space X with conjugate ...
Let {X,Xn; n ≥ 1} be a sequence of i.i.d. random vari-ables with distribution function F (x). For ea...
Let $ { X_n : n geqq 1 } $ be a sequence of i.i.d. Banach space valued random variables with $ E[X_n...
Chow and Teicher proved in (1) the following law of iterated logarithm for a type of weighted sums o...
AbstractLet {Xn,n⩾1} be a sequence of i.i.d. random vectors taking values in a 2-smooth separable Ba...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
AbstractLet X be a (real) separable Banach space, let {Vk} be a sequence of random elements in X, an...
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Let $ \{Y_n, n\geq 1\} $ be sequence of random variables with $ EY_n = 0 $ and $ \sup_nE|Y_n|^p <...
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