[PDF] Top 20 Strong Law of Large Numbers for a 2 Dimensional Array of Pairwise Negatively Dependent Random Variables

... quence i N have been found for this question. The SLLN are investigated extensively in the literature espe- cially to the case of a sequence of independent random variables (see for examples in [1-3]). ... See full document

... the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise ...of ... See full document

... Marcinkiewicz-type strong law of large numbers, Hajek-Renyi-type inequality and other inequalities for negatively superadditive dependent (NSD) ...NSD random ... See full document

... NSD random variables are obtained without the assumption of an identical ...type strong law of large numbers for weighted sums of NSD random variables is ... See full document

... several strong laws of large numbers for general random variables and obtain the growth rate of the partial ...a strong law of large numbers for ... 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 ... See full document

... Kolmogorov-type strong law of large numbers of the identically distributed pairwise NQD sequences, Chen [] for Kolmogorov-Chung strong law of large numbers ... See full document

... and negatively associated sequences, which have a lot of applications, ...the strong law of large numbers for weighted sums of negatively dependent ... See full document

... a random sample are weighted sums of independent identically distributed ...of strong laws for these weighted sums have demonstrated significant progress in probability theory with applications in math- ... See full document

... In this paper, we generalize some results of Chandra and Goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). Furthermore, we give Baum and Katz’s [1] ... See full document

... zero random variables satisfies the maximal moment inequality with exponent ...independent random variables, negatively associated random variables (see Matula []), ... See full document

... fuzzy random variables in generalizing results for random sets to fuzzy random ...of large numbers, Kruse 18 proved an SLLN for ...random variables. Klement et al. ... See full document

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

... and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non- identically distributed are ...of ... See full document

... Section 2. The strong law of large numbers for NA RVs will be established in Section ...Hus-Robbins-type law of large numbers will be presented in Sections 4 and 5, ... See full document

... r-dimensional array 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 ... See full document

... NQD random sequences have been studied in many ...Kolmogorov-type strong law of large numbers, Jabbari [5] for the almost sure limit theorems for weighted sums of pairwise NQD ... 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

... Strong law of large numbers under nonadditive probabili- ties is a much important theory in uncertainty theories and has more applications in statistics, risk measures, asset pricings and many ... See full document

... of pairwise NQD was introduced by Lehmann [] and many applications have been ...of pairwise NQD random variables is a family of very wide scope, which contains a pairwise independent ... See full document