On distributions of exceedances associated with order statistics and record values for arbitrary distributions

Bairamov I., Kotz S.

STATISTICAL PAPERS, vol.42, no.2, pp.171-185, 2001 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2001
  • Doi Number: 10.1007/s003620100049
  • Journal Name: STATISTICAL PAPERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.171-185
  • Keywords: order statistics, record value, distribution function, atom
  • Ankara University Affiliated: No

Abstract

Exceedance statistics associated with the order statistics and record values for the generalized Bernoulli model are investigated for the case of an arbitrary underlying distribution. Distributions of these statistics are studied. Also the distribution of the second record value is obtained when the underlying distribution function contains atoms.