The Hájeck-Rényi inequality for the NA random variables and its application
In this paper, we obtain the Hajeck-Rényi inequality and discuss the Marcinkiewicz strong law of large numbers for negatively associated random variables. In particular, the classical Marcinkiewicz strong law of large numbers for independent and identically distributed random variables is generalized to the case of negatively associated random variables.
Year of publication: |
1999
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Authors: | Liu, Jingjun ; Gan, Shixin ; Chen, Pingyan |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 43.1999, 1, p. 99-105
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Publisher: |
Elsevier |
Keywords: | The Hajeck-Rényi inequality Negatively associated random variables Marcinkiewicz strong law of large numbers |
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