AbstractGeometrically weighted i.i.d. random variables {Yn} which are bounded above are shown to exhibit iterated logarithm type behavior. Specifically, if b > 1 and if the lower tail of the distribution of Y1 approaches 0 fast enough, then lim supn→∞(b−1) Σnj=1b1Yj⧸bn+1=L, almost certainly, where L is the essential supremum of Y1
The tail empirical process is defined to be for each n ¿ N, wn(t) = (n/kn)1/2an(tkn/n), 0 = t = 1, w...
n ABSTRACT. For weighted sums a:Y: of independent ancJ identically.distributed random variables,IJ (...
AbstractLet Xi be iidrv's and Sn=X1+X2+…+Xn. When EX21<+∞, by the law of the iterated logarithm (Sn−...
Let {Xn; n[greater-or-equal, slanted]0} be a sequence of negatively associated random variables. we ...
AbstractLet {X,Xn;n⩾0} be a sequence of independent and identically distributed random variables, ta...
Abstract. Let {S,},"=, denote the partial sums of i.i.d. random variables with mean 0. The pres...
Chow and Teicher proved in (1) the following law of iterated logarithm for a type of weighted sums o...
Abstract. Let fXi; i 1g be a sequence of i.i.d. nondegenerate random variables which is in the doma...
Consider a sequence of independent and identically distributed random vari-ables with the underlying...
Let {Xn, n greater than or equal 1} be a sequence of i.i.d. random variables with common d.f. F(x). ...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
Abstract. We study almost-sure limiting properties, taken as ε ↘ 0, of the finite horizon sequence o...
Let (Xn) be a sequence of independent and identically distributed non-negative valued random variabl...
Abstract In this paper, a Chover-type law of the iterated logarithm is established for the weighted ...
We investigate some effects that the 'light' trimming of a sum S n = X1 + X2 + ⋯ + Xn of independent...
The tail empirical process is defined to be for each n ¿ N, wn(t) = (n/kn)1/2an(tkn/n), 0 = t = 1, w...
n ABSTRACT. For weighted sums a:Y: of independent ancJ identically.distributed random variables,IJ (...
AbstractLet Xi be iidrv's and Sn=X1+X2+…+Xn. When EX21<+∞, by the law of the iterated logarithm (Sn−...
Let {Xn; n[greater-or-equal, slanted]0} be a sequence of negatively associated random variables. we ...
AbstractLet {X,Xn;n⩾0} be a sequence of independent and identically distributed random variables, ta...
Abstract. Let {S,},"=, denote the partial sums of i.i.d. random variables with mean 0. The pres...
Chow and Teicher proved in (1) the following law of iterated logarithm for a type of weighted sums o...
Abstract. Let fXi; i 1g be a sequence of i.i.d. nondegenerate random variables which is in the doma...
Consider a sequence of independent and identically distributed random vari-ables with the underlying...
Let {Xn, n greater than or equal 1} be a sequence of i.i.d. random variables with common d.f. F(x). ...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
Abstract. We study almost-sure limiting properties, taken as ε ↘ 0, of the finite horizon sequence o...
Let (Xn) be a sequence of independent and identically distributed non-negative valued random variabl...
Abstract In this paper, a Chover-type law of the iterated logarithm is established for the weighted ...
We investigate some effects that the 'light' trimming of a sum S n = X1 + X2 + ⋯ + Xn of independent...
The tail empirical process is defined to be for each n ¿ N, wn(t) = (n/kn)1/2an(tkn/n), 0 = t = 1, w...
n ABSTRACT. For weighted sums a:Y: of independent ancJ identically.distributed random variables,IJ (...
AbstractLet Xi be iidrv's and Sn=X1+X2+…+Xn. When EX21<+∞, by the law of the iterated logarithm (Sn−...
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