Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Strong convergence properties for arrays of rowwise negatively orthant dependent random variables

In: Mathematica Slovaca, vol. 67, no. 1
Aiting Shen - Yu Zhang - Andrei Volodin
Detaily:
Rok, strany: 2017, 235 - 244
Kľúčové slová:
arrays of rowwise negatively orthant dependent random variables, exponential moment, moment, complete convergence
O článku:
Let $\{X_{ni}, i\geq1, n\geq1\}$ be an array of rowwise negatively orthant dependent random variables which is stochastically dominated by a random variable $X$. Wang et al. [15. Complete convergence for arrays of rowwise negatively orthant dependent random variables, RACSAM, 106 (2012), 235--245] studied the complete convergence for arrays of rowwise negatively orthant dependent random variables under the condition that $X$ has an exponential moment, which seems too strong. We will further study the complete convergence for arrays of rowwise negatively orthant dependent random variables under the condition that $X$ has a moment, which is weaker than exponential moment. Our results improve the corresponding ones of Wang et al. 6.
Ako citovať:
ISO 690:
Shen, A., Zhang, Y., Volodin, A. 2017. Strong convergence properties for arrays of rowwise negatively orthant dependent random variables. In Mathematica Slovaca, vol. 67, no.1, pp. 235-244. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0263

APA:
Shen, A., Zhang, Y., Volodin, A. (2017). Strong convergence properties for arrays of rowwise negatively orthant dependent random variables. Mathematica Slovaca, 67(1), 235-244. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0263
O vydaní:
Publikované: 1. 2. 2017