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


Bairamov I., Kotz S.

STATISTICAL PAPERS, cilt.42, sa.2, ss.171-185, 2001 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1007/s003620100049
  • Dergi Adı: STATISTICAL PAPERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.171-185
  • Anahtar Kelimeler: order statistics, record value, distribution function, atom
  • Ankara Üniversitesi Adresli: Hayır

Özet

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.