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- M. AMINI, A. BOZORGNIA
- 2007

– In this paper, we extend some famous maximal inequalities and obtain strong laws of large numbers for arbitrary random variables by use of these inequalities and martingale techniques.

- M Amini, A Bozorgnia
- 2000

be negatively dependent uniformly bounded random variables with d.f. F(x). In this paperwe obtain bounds for the^ probabilities P(I Y=IXil >_nt) and P(l(pn-pl >e) where pn is the sample pth ^quantile and p is the pth quantile of F(x). Moreover, we show that pn is a strongly consistent estimator of p under mild^ restrictions on F(x) in the neighborhood of p.… (More)

- H. R. NILI SANI, H. A. AZARNOOSH, A. BOZORGNIA
- 2004

– In this paper, strong laws of large numbers (SLLN) are obtained for the sums ∑ = n i i X 1 , under certain conditions, where } 1 , { ≥ n X n is a sequence of pairwise negatively dependent random variables.

- H. R. Nili Sani, M. Amini, A. Bozorgnia, Nili Sani
- 2009

In this paper, we generalize a theorem of Shao [12] by assuming that } { n X is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite p-th absolute moment) 2 (≥ p the weighted sums… (More)

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