Convergence of random variables
The Relations between Several Kinds of Convergence of Random Variables
... The convergence of random variables is the important content in the theory of ...the convergence of random variables will lead to different limit ...of convergence have ...
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On the strong convergence for weighted sums of negatively superadditive dependent random variables
... complete convergence of random variables is a very important tool in establishing almost sure ...complete convergence for normed sums of random variables were due to Hsu and ...
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On the complete convergence for pairwise negatively quadrant dependent random variables
... is more reasonable than an independence assumption. One can refer to Matuła [] for Kolmogorov-type strong law of large numbers of the identically distributed pairwise NQD sequences, Chen [] for Kolmogorov-Chung ...
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A note on the complete convergence for sequences of pairwise NQD random variables
... complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non- identically distributed are ...NQD random ...
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Strong convergence results for weighted sums of ρ˜ mixing random variables
... strong convergence rates in nonparametric ...strong convergence for weighted sums of random ...strong convergence for weighted sums of ρ ∗ -mixing random ...
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Some exponential inequalities for acceptable random variables and complete convergence
... of convergence rate for the strong law of large ...independent random variables with assumptions of uni- form boundedness or some, quite relaxed, control on their ...dependent variables is ...
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Complete convergence for Sung’s type weighted sums of END random variables
... In this paper, the author studies the complete convergence results for Sung’s type weighted sums of sequences of END random variables and obtains some new results. These results extend and improve ...
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Complete convergence and complete moment convergence for weighted sums of m NA random variables
... 1. Cuzick, J: A strong law for weighted sums of i.i.d. random variables. J. Theor. Probab. 8, 625-641 (1995) 2. Wu, WB: On the strong convergence of a weighted sum. Stat. Probab. Lett. 44, 19-22 ...
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On complete moment convergence for nonstationary negatively associated random variables
... distributed random variables converges completely to the ex- pected value of the summands, provided that the variance is ...complete convergence for a sequence of independent identically distributed ...
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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
... complete convergence for partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...this convergence to partial sums and weighted sums of negatively dependent ...
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Some strong convergence properties for arrays of rowwise ANA random variables
... ANA random variables, but also one obtains some much stronger conclusions under some more general ...plete convergence, complete moment convergence, and mean convergence for arrays of ...
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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... strong convergence for weighted sums of arrays of ANA random variables without assumption of identical distribution and obtain some im- proved results ...moment convergence, which will be ...
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Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables
... However the analogue of Theorem 1.2 is not yet available in the situation, where the i.i.d. random variables are multidimensionally indexed. This motivates us to consider the estimate of convergence ...
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On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...complete convergence for arrays of rowwise dependent random variables has been ...
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Further study of complete convergence for weighted sums of PNQD random variables
... complete convergence for weighted sums of PNQD random variables are ...complete convergence theorems previously obtained by Baum and Katz ...
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Strong convergence results for arrays of rowwise pairwise NQD random variables
... complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables are presented without assumption of identical ...independent random variables and negatively ...
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On the complete convergence for arrays of rowwise ψ mixing random variables
... However, according to our knowledge, few papers discuss the subjects for sequences or arrays of ψ -mixing random variables except Blum et al. [], Bradley [], Yang [], Wu and Zhu [], Wang et al. [, ...
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Complete q th moment convergence for arrays of random variables
... moment convergence for dependent random variables was estab- lished by many ...random variables. Wu et al. [] obtained complete qth moment convergence results for arrays of ...
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On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables
... A number of limit results for ρ ∗ -mixing sequences of random variables have been es- tablished by many authors. We refer to Bradley [3] for the central limit theorem, Bryc and Smolenski [4], Peligrad and ...
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On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
... 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] type results on estimate ...
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