On the rosenthal inequality for mixing fields
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A proof of the Rosenthal inequality for α-mixing random fields is given. The statements and proofs are modifications of the corresponding results obtained by Doukhan and Utev.
KeywordsConnected Graph Independent Random Variable Finite Subset Separable Banach Space Dependent Random Variable
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- 3.S. A. Utev, “Inequalities for sums of weakly dependent random variables and rate of convergence in invariance principle,” in: Limit Theorems for Sums of Random Variables [in Russian], Nauka, Novosibirsk (1984), pp. 50–70.Google Scholar
- 4.P. Doukhan, Mixing. Properties and Example, Springer, New York 1994.Google Scholar
© Kluwer Academic/Plenum Publishers 2000