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Exact laws for sums of ratios of order statistics from the Pareto distribution

100%

Adler A.

Open Mathematics

2006

tom 4

nr 1

1-4

Consider independent and identically distributed random variables {X nk, 1 ≤ k ≤ m, n ≤ 1} from the Pareto distribution. We select two order statistics from each row, X n(i) ≤ X n(j), for 1 ≤ i < j ≤ = m. Then we test to see whether or not Laws of Large Numbers with nonzero limits exist for weighted sums of the random variables R ij = X n(j)/X n(i).

Estimators of g-monotone dependence functions

100%

Krajka A.

Applicationes Mathematicae

1998-1999

tom 25

nr 3

253-269

The notion of g-monotone dependence function introduced in [4] generalizes the notions of the monotone dependence function and the quantile monotone dependence function defined in [2], [3] and [6]. In this paper we study the asymptotic behaviour of sample g-monotone dependence functions and their strong properties.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Open Mathematics

1 Adler A.

1 Krajka A.

1 2006

1 1998

Wyniki wyszukiwania

Exact laws for sums of ratios of order statistics from the Pareto distribution

Estimators of g-monotone dependence functions