[PDF] Top 20 On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
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On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
... Chandra and Goswami [4], also proved Theorem CG2, by Theorem CG1, and extended the results of Landers and Rogge [8] for pairwise independent r.v.'s. Theorem CG2. Let be a sequence of pairwise independent random ... See full document
6
ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
... strong law of large numbers (SLLN) for pairwise independent and strongly uniformly integrable ...weighted sums of an array of rowwise negatively dependent ...negatively dependent ... See full document
5
On the strong convergence for weighted sums of negatively superadditive dependent random variables
... complete convergence for weighted sums of NSD random ...complete convergence re- sults for the maximum weighted sums of NSD random variables are obtained without the ... See full document
14
Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation
... them. Numbers of results have been estab- lished, for example, Peng [–] gained a weak law of large numbers and a central limit theorem under sub-linear expectation ...the law of ... See full document
14
On Strong Law of Large Numbers for Dependent Random Variables
... complete convergence was introduced by Hsu and Robins, there have been many authors who devote themselves to the study of the complete convergence for sums of independent and dependent RVs and ... See full document
13
Complete moment convergence for weighted sums of negatively superadditive dependent random variables
... NSD random variables was introduced by Hu [], which was based on the class of superadditive ...strong law of large numbers of quadratic forms of NSD random variables ... See full document
13
Further study of complete convergence for weighted sums of PNQD random variables
... strong law of large numbers; Wang et ...weak law of large numbers; Wu [] obtained the strong convergence properties of Jamison weighted sums, the three series ... See full document
7
Complete moment convergence for product sums of sequence of extended negatively dependent random variables
... END random vari- ables reduces to the well-known notion of so-called negatively dependent (ND) random variables which was introduced by Alam and Saxena [], Block et ...dom variables ... See full document
15
On the complete convergence for weighted sums of a class of random variables
... strong law is a fundamental theorem in probability theory and has been intensively investigated in several directions by many authors in the past ...strong law of large ... See full document
12
MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
... 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 (1981) for ... See full document
7
Strong Law of Large Numbers for a 2 Dimensional Array of Pairwise Negatively Dependent Random Variables
... strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically ...strong law of ... See full document
5
Convergence rates in the law of large numbers for long range dependent linear processes
... strong law of large numbers for the linear process holds with exponential convergence ...distributed random variables { ζ i , i ∈ Z} and to arbitrary subsequences of {X n , n ≥ ... See full document
14
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... ANA random variables is NA if and only if ρ – () = . So, ANA random variables include ρ-mixing and NA random ˜ ...limit convergence properties for ANA random ... See full document
13
Complete Convergence and Weak Law of Large Numbers for ρ Mixing Sequences of Random Variables
... [7] Q. Y. Wu, “Further Study Strong Consistency of Estima- tor in Linear Model for -Mixing Random Samples,” Journal of Systems Science and Complexity, Vol. 24, No. 5, 2011, pp. 969-980. ... See full document
7
Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables
... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ... See full document
15
On strong law of large numbers and growth rate for a class of random variables
... zero random variables satisfies the maximal moment inequality with exponent ...independent random variables, negatively associated random variables (see Matula []), negatively ... See full document
11
On the weak law of large numbers for normed weighted sums of I I D random variables
... Weighted sums of independent and identically distributed random variables, weak law of large numbers, convergence in probability, random indices, strong law of large numbers, almost cert[r] ... See full document
12
A note on the complete convergence for sequences of pairwise NQD random variables
... complete convergence is a very important tool in establishing almost sure conver- gence of summation of random ...distributed random vari- ables converges completely to the expected value if the ... See full document
8
The complete convergence for weighted sums of dependent random fields
... the convergence rates in the law of iterated logarithm and the Rosenthal maximal inequality for identically distributed random variables; Li [] for the convergence rates in the ... See full document
8
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... ND random variables, the notions of ND random variables have received more and more attention ...independent variables to the case of ND variables is highly desirable and of ... See full document
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