[PDF] Top 20 Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
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Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... The authors are very grateful to the referees and the editors for their valuable comments and some helpful suggestions that improved the clarity and readability of the paper. This work was supported by the ... See full document
10
Strong convergence results for weighted sums of ρ˜ mixing random variables
... for strong limit theorems for weighted product sums of ρ-mixing sequences of random variables, Wu and Jiang [] for Chover-type laws ˜ of the ... See full document
11
Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences
... partial sums to be bounded from below, the norming constant has to be of smaller order of magnitude (and, therefore, it is slower) than ...partial sums of a sequence of strongly mixing random ... See full document
14
A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
... a random sample are weighted sums of independent identically distributed ...of strong laws for these weighted sums have demonstrated significant progress in probability theory ... See full document
10
Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables
... ρ-mixing random variables under mild ...type strong law of large numbers for sequences of ρ-mixing random variables ˜ is ...give some sufficient conditions for ... See full document
14
Strong stability of weighted sums of NA random variables
... and limit theorems for positively and negatively depen- dent random variables, Inequalities in Statistics and Probability (Lincoln, ... See full document
11
Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables
... Jin, “An almost sure central limit theorem for the product of partial sums of strongly missing random variables,” Journal of Zhejiang University, vol.. Csáki, “A universal result in alm[r] ... See full document
9
Strong Laws for Weighted Sums of Negative Dependent Random Variables
... PND sequences contains independent and negatively associated sequences, which have a lot of applications, ...their limit properties have aroused wide ...the strong law of large numbers for ... See full document
6
The complete convergence for weighted sums of dependent random fields
... -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various limit ... See full document
8
On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables
... of limit results for ρ ∗ -mixing sequences of random variables have been es- tablished by many ...central limit theorem, Bryc and Smolenski [4], Peligrad and Gut [5], and Utev ... See full document
16
On the Strong Laws for Weighted Sums of Mixing Random Variables
... random variables. For example, Bradley 1 has established the central limit theorem, Byrc and Smole ´nski 2 and Yang 3 have obtained moment inequalities and the strong law of large numbers, Wu ... See full document
8
A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... ND random variables, the notions of ND dependence of random variables have received more and more attention ...the limit properties of independent or NA random variables ... See full document
8
A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences
... -mixing random va- riables, which have a lot of applications. Their limit properties have received more and more attention recently, and a number of results have been obtained, such as Zhang and Wang ... See full document
7
Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
... for weighted sums of an array of random variables, when these random variables are subject to some special kind of rowwise ... See full document
9
Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
... independent) sequences (with q(n) = , n ≥ ) and some more sequences of random variables which are not much devi- ated from being negatively ...NA random variables, one ... See full document
11
Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Mixing Random Variables
... of weighted sums for arrays of rowwise ϕ-mixing random variables is ...of weighted sums for arrays of rowwise ϕ-mixing random variables are ... See full document
14
Almost sure central limit theorems for strongly mixing and associated random variables
... sure limit theorems which generalize Theorems ...imply Theorems 1.1 and 1.2, respectively. For strong mixing we impose much slower mixing ... See full document
7
Limit theorems for delayed sums of random sequence
... i.i.d. random variables and also obtained very simple proofs of a number of well-known results such as the Hsu-Robbins-Spitzer-Katz ...delayed sums of independent random ...delayed sums ... See full document
8
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
... partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...partial sums and weighted sums of negatively dependent and negatively ... See full document
6
On the rate of convergence in limit theorems for random sums via Trotter distance
... establish some estimates for the small-o rates of convergence and large- rates of convergence in limit theorems for randomly indexed sums of independent identically distributed random ... See full document
12
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