Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: distributional limit theorem

Sortuj według:

Ogranicz wyniki do:

Almost sure convergence of the distributional limit theorem for order statistics

Peng L., Qi Y.

Probability and Mathematical Statistics

2003

Vol. 23, Fasc. 2

217--228

Let Xn, n ≥ 1, be a sequence of independent and identically distributed random variables and Xn,1 ≤ Xn,2 ≤...≤ Xn,n denote the order statistics of X1,…, Xn. For any sequence of integers {kn} with 1 ≤ kn ≤ n and limn→∞min {kn, n − kn + 1} = ∞, if there exist constants an > 0, bn ∈ R and some non-degenerate distribution function G such that (Xn,kn − bn)/ an converges in distribution to G, then with probability one [wzór] = G(x) for all x ∈ C (G), where C (G) is the set of continuity points of G.