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A weak convergence for negatively associated fields

✍ Scribed by Li-Xin Zhang; Jiwei Wen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
117 KB
Volume
53
Category
Article
ISSN
0167-7152

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✦ Synopsis

The aim of this paper is to investigate the weak convergence for negatively associated random ΓΏelds. To this end, we obtain some moment inequalities for the maximum of partial sums for a negatively associated random ΓΏeld, which also are of independent interest.

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We discuss complete convergence for weighted sums of negatively associated (NA) random variables. The result on i.i.d. case of Li et al. (J. Theoret. Probab. 8 (1995) 49 -76) is generalized and extended. Also, Gut's (Probab. Theory Related Fields 97 (1993) 169 -178) result on CesΓ‚ aro summation of i