ALMOST SURE ASYMPTOTIC-BEHAVIOR FOR THE DIFFERENCE OF UNIFORM ORDER-STATISTICS

• Type: Article in International Scientific Journal
• Date: 1992

Authors

BACRO, JN (Author) Other; BRITO, M (Author) FCUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE

Vol. 314

Pages: 317-320

ISSN: 0764-4442

Indexing

ISI Web of Knowledge - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-PV6

Abstract (EN): For each n greater-than-or-equal-to 1, denote by U1, U2, ..., U(n) independent random variables with a uniform distribution on (0, 1) and let U1,n less-than-or-equal-to U2, n less-than-or-equal-to ... less-than-or-equal-to U(n,n) be their order statistics. In this Note we characterize the sequences k(n), 1 less-than-or-equal-to k(n) < n, for which the statistic R(alpha,n) = U]k(n)[,n - U]alpha k(n)[, n converges almost surely as n --> infinity for any fixed constant 0 < alpha < 1.

Language: French

Type (Professor's evaluation): Scientific

No. of pages: 4