Laws of large numbers for residual Cesàro alpha-integrable sequences under dependence assumptions
Martingale difference, pairwise negative quadrant dependence and Lp-mixingale difference are three special kinds of dependence structures for random variables. By relating these dependence conditions to residual Cesàro alpha-integrability, as well as to strongly residual Cesàro alpha-integrability, Lp-convergence and strong laws of large numbers are studied, and significant improvements over earlier results are obtained.
Year of publication: |
2009
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Authors: | Yuan, De Mei ; An, Jun ; Tao, Bao |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 79.2009, 5, p. 611-618
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Publisher: |
Elsevier |
Saved in:
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