By M Csörgö; Barbara Szyszkowicz

ISBN-10: 0444500839

ISBN-13: 9780444500830

ISBN-10: 0585474680

ISBN-13: 9780585474687

ISBN-10: 1281047120

ISBN-13: 9781281047120

**Read or Download Asymptotic methods in probability and statistics : a volume in honor of Miklós Csörgö PDF**

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**Additional info for Asymptotic methods in probability and statistics : a volume in honor of Miklós Csörgö**

**Sample text**

Central limit theorems for associated random variables and the percolation model. Ann. Probab. 12(2) 514-528.

We begin with a decoupling inequality for sums of quasi-associated random variables. This result can be viewed as a cognate of Newman's inequality (Theorem 1, Newman (1980)). 4. L e m m a . Let II - { U 1 , . . , [In} be quasi-associated with E(Ui) - 0 and E(U 2) < oc for 1 < i < n; let V be a decoupled version of 11; and let f " R ---, R have a bounded and continuous second derivative. Then i=1 2 i=1 i=1 ProoL Without loss of generality, we may assume that It and ~ are independent. Let A1 - U2 + .

1986). An invariance principle for weakly associated random vectors. Stochastic Processes Appl. 23 301-306. Cox, J. T. and Grimmett, G. (1984). Central limit theorems for associated random variables and the percolation model. Ann. Probab. 12(2) 514-528.

### Asymptotic methods in probability and statistics : a volume in honor of Miklós Csörgö by M Csörgö; Barbara Szyszkowicz

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