[PDF] Top 20 On strong law of large numbers and growth rate for a class of random variables
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On strong law of large numbers and growth rate for a class of random variables
... wide class of mean zero random variables satisfies the maximal moment inequality with exponent ...independent random variables, negatively associated random variables (see ... See full document
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A note on the complete convergence for sequences of pairwise NQD random variables
... NQD random variables is a family of very wide scope, which contains sequences of pairwise independent random ...dom variables and negatively associated (NA) [2] random variables ... See full document
8
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
Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences
... the strong limit theorems for arbitrary stochastic ...a class of new strong limit theorems for stochastic ...two strong limit theorems for martingale-difference sequence, Lo`eve’s series ... See full document
11
The Hájek Rènyi inequality and strong law of large numbers for ANA random variables
... the strong law of large numbers for asymptotically negatively associated random variables are ...Marcinkiewicz strong law of large numbers for ... See full document
9
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
... Remark 1.4. Chow 1 proved a maximal inequality for submartingales. Newman and Wright 2 extended Doob’s maximal inequality and upcrossing inequality to the case of demimartingales, and pointed out that the partial sum of ... See full document
11
On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
... the law of { X n } . We recall the classical answer, the strong law of large numbers Baum and Katz [1] for (see ...the rate of convergence in these ... See full document
6
Strong laws of large numbers for general random variables in sublinear expectation spaces
... several strong laws of large numbers for general random variables and obtain the growth rate of the partial ...a strong law of large numbers ... See full document
18
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
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ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
... = ∑ X n = S n ( ) / n . Landers and Rogge [8] proved a strong law of large numbers (SLLN) for pairwise independent and strongly uniformly integrable r.v.’s. Chandra and Goswami [3] proved a ... See full document
5
Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
... the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical ...Marcinkiewicz ... See full document
11
Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers
... independent random vari- ables can be applied to sequences consisting of independent ...the strong laws of large numbers to blockwise-martingale difference arrays in Banach ...of random ... See full document
14
Best Possible Sufficient Conditions for Strong Law of Large Numbers for Multi Indexed Orthogonal Random Elements
... the strong convergence for arrays of quasi-orthogonal real-valued random ...for strong limit theorems for arrays of quasi-orthogonal real-valued random ...the strong convergence of (1/m ... See full document
15
Strong Law of Large Numbers under an Upper Probability
... 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
7
On conditions for the strong law of large numbers in general Banach spaces
... a.s., n → ∞, were investigated by Mourier [14], Fortet and Mourier [8], Beck [3], Beck and Giesy [4], Hoffman-Jørgensen and Pisier [10], Heinkel [9], Taylor [17], Woyczy´nski [19], and Adler, Rosalsky, and Taylor [1]. ... See full document
14
A Note on Strong Laws of Large Numbers for Dependent Random Sets and Fuzzy Random Sets
... 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
10
On the strong law for arrays and for the bootstrap mean and variance
... 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
8
Strong Laws of Large Numbers for Fuzzy Set Valued Random Variables in Gα Space
... the strong law of large numbers for independent and identically distributed random variables by embedding ...the strong law of large numbers for ... See full document
10
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
On Strong Law of Large Numbers for Dependent Random Variables
... 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
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