[PDF] Top 20 Marcinkiewicz type strong law of large numbers for double arrays of pairwise independent random variables
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Marcinkiewicz type strong law of large numbers for double arrays of pairwise independent random variables
... 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
7
MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
... The history and literature on laws of large numbers is vast and rich as this concept is crucial in probability and statistical theory. The literature on concepts of negative dependence is much more limited ... See full document
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On strong laws of large numbers for arrays of rowwise independent random elements
... 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
5
On the strong convergence and some inequalities for negatively superadditive dependent sequences
... NSD random variables are provided. In Section , Marcinkiewicz-type strong law of large numbers, Hajek-Renyi-type inequalities and the integrability of ... See full document
11
On Chung Teicher type strong law for arrays of vector valued random variables
... We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space Ꮾ. The conditions ... See full document
16
A Hájek Rényi Type Maximal Inequality and Strong Laws of Large Numbers for Multidimensional Arrays
... 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 2.1.1 ... See full document
14
Strong convergence results for arrays of rowwise pairwise NQD random variables
... of pairwise NQD was introduced by Lehmann ...of pairwise NQD random variables is a family of very wide scope, which contains a pairwise independent random variable ... See full document
8
A note on the complete convergence for sequences of pairwise NQD random variables
... of independent and identically distributed random vari- ables converges completely to the expected value if the variance of the summands is ...[10] strong law of large ... See full document
8
An extension of the Baum Katz theorem to i i d random variables with general moment conditions
... When r = , the equivalence of (.) and (.) is known as the Marcinkiewicz and Zyg- mund strong law of large numbers. Katz [] proved the equivalence of (.) and (.) for the case ... See full document
9
The law of the iterated logarithm for LNQD sequences
... 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
17
Strong Law of Large Numbers for a 2 Dimensional Array of Pairwise Negatively Dependent Random Variables
... the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically ...of strong ... See full document
5
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
On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
... for pairwise independent ...of pairwise independent random variables such that there is a sequence { of Borel subsets of satisfying the following conditions ... See full document
6
Stability for randomly weighted sums of random elements
... Abstract. Let {X n : n = 1, 2, 3,...} be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let {A n,i : i = 1, 2,3,... ; n = 1, 2, 3,...} be an array of ... See full document
10
Limit theorems for ratios of order statistics from uniform distributions
... The proof of Theorem 4.3 is very similar to that of Xu and Miao [11, Theorem 2.4], so we omit it. For the same reason, the following large deviation principle, which extends the corresponding result built by Xu ... See full document
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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 ... See full document
10
Summability of Double Independent Random Variables
... The analysis of double sequences of random variables via four-dimensional matrix transformations begins with the following theorem. However, it should be noted that the relationship between our main ... See full document
12
Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences
... of random variables has enjoyed both a rich classical period and a resurgence of research ...of random variables and obtained lots of classical results for sequences of independent ... See full document
11
Strong Law of Large Numbers under an Upper Probability
... Strong law of large numbers is a fundamental theory in probability and ...this law is very different from additive ...the strong law of large numbers under ... See full document
7
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
... Doob’s type maximal inequality, strong law of large numbers, strong growth rate, and integrability of supremum for demimartingales, which generalize and improve partial results ... See full document
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