[PDF] Top 20 Strong laws of large numbers for arrays of rowwise independent random elements

... STRONG LAWS OF LARGE NUMBERS FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS ROBERT LEE TAYLOR Department of Statistics University of Georgia Athens, GA 30602 U.S.A... TIEN.CHUNG HU De[r] ... See full document

... In this section, strong laws of large numbers for triangular arrays of row-wise exchangeable random elements in type p ed... 8 separable Banach spaces will be establish-.[r] ... See full document

... Jain [3] obtained a uniform strong law of large numbers for sequences of i.i.d, random elements in separable Banach spaces of type 2 which would yield 1.2 with p 1 for an array of i.i.d,[r] ... See full document

... Remark 2.4 ensures that the inequality 2.15 holds for every p > 1 and for every array of independent mean zero random elements in a real separable Banach space. Therefore, by using the implication ... See full document

... the strong laws of large numbers for arrays of rowwise NA and LNQD random variables, Wang and Wu [13] established the central limit theorem for stationary linear processes ... See full document

... Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions.. An interesting application of these results is t[r] ... See full document

... and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space ... See full document

... truncated random variables and studied strong laws of large num- bers and central limit theorems in this ...weak laws of large numbers for weighted independent ... See full document

... a strong law of large numbers (SLLN) for pairwise independent and strongly uniformly integrable ...pairwise independent and Cesàro uniformly integrable ...of rowwise negatively ... See full document

... the independent and identically distributed random variables, G-normal distribution and obtained the weak law of large numbers and the central limit theorem in sublinear expectation ...of ... See full document

... the strong law of large numbers for independent and identically distributed random variables by embedding ...the strong law of large numbers for independent ... See full document

... the strong limit theorems for arrays of rowwise negatively orthant- dependent random variables are ...for strong law of large numbers for an array of rowwise ... See full document

... and negative dependence in the bivariate case [12]. Negative dependence has been particularly useful in obtaining laws of large numbers [1,3-5,13]. We have extended, a novel argument of Etemadi ... See full document

... of strong convergence for Cesaro-type means for arrays of Banach space-valued random elements and hence their proofs are more complicated than that in real cases because of the structure of ... See full document

... the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical ...Marcinkiewicz strong law ... See full document

... NQD random variables is a family of very wide scope, which contains a pairwise independent random variable sequence and a negatively orthant dependent (NOD) ran- dom variable sequence as special ... See full document

... mixing random sequences and random fields in the past thirty years ...mixing random fields and established some moment ...dependent random sets or fuzzy random sets except the ... See full document

... STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF RANDOM ELEMENTS IN NORMED LINEAR SPACES ANDRE ADLER.. Department of Mathematics Illinois Institute of Technology Chicago, Illinois 60616[r] ... See full document

... of random variables under the conditions E|X| p log + |X| r+1 < ∞, E|X| p log + |X| r−1 < ∞, respectively, thus, extending Choi and Sung’s result [1] of the one-dimensional ... See full document

... without random indices) for random variables (realvalued or Banach space-valued) are studied by many authors (see, ...with random indices for double arrays of random ...theweak ... See full document