# Equivalent conditions of complete moment and integral convergence for a class of dependent random variables

Equivalent conditions of complete moment and integral convergence for a class of dependent random... Some equivalent conditions of complete moment and complete integral convergence for a class of dependent random variables are established. The results obtained in this paper extend the corresponding ones for negatively associated random variables. As applications, we present some results for specific sequences of random variables, such as $$\rho$$ ρ -mixing, $$\rho ^{*}$$ ρ ∗ -mixing, $$\varphi$$ φ -mixing, $$\varphi ^{*}$$ φ ∗ -mixing and m-dependent sequences. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Springer Journals

# Equivalent conditions of complete moment and integral convergence for a class of dependent random variables

, Volume 112 (2) – May 4, 2017
18 pages

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Publisher
Springer Milan
Copyright
Copyright © 2017 by Springer-Verlag Italia
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Theoretical, Mathematical and Computational Physics
ISSN
1578-7303
eISSN
1579-1505
D.O.I.
10.1007/s13398-017-0399-2
Publisher site
See Article on Publisher Site

### Abstract

Some equivalent conditions of complete moment and complete integral convergence for a class of dependent random variables are established. The results obtained in this paper extend the corresponding ones for negatively associated random variables. As applications, we present some results for specific sequences of random variables, such as $$\rho$$ ρ -mixing, $$\rho ^{*}$$ ρ ∗ -mixing, $$\varphi$$ φ -mixing, $$\varphi ^{*}$$ φ ∗ -mixing and m-dependent sequences.

### Journal

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasSpringer Journals

Published: May 4, 2017

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