Some novel discrete distributions under fourfold sampling schemes and conditional bivariate order statistics

Bayramoglu (Bairamov), Ismihan; Kemalbay, Gülder

doi:10.1016/j.cam.2013.01.013

Some novel discrete distributions under fourfold sampling schemes and conditional bivariate order statistics

Bayramoglu (Bairamov) I., Kemalbay G.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.248, ss.1-14, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 248
Basım Tarihi: 2013
Doi Numarası: 10.1016/j.cam.2013.01.013
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1-14
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper presents some novel trivariate discrete distributions that are obtained by modifying the bivariate binomial distribution. These distributions are important probability models for the development of conditional bivariate order statistics. The distributional properties of bivariate order statistics are studied and derived under the condition that certain values of the underlying random vectors (X, Y) are truncated and fall in the threshold set {(t, s) is an element of R-2 : t <= u, s <= u}, (u, v) is an element of R-2. (C) 2013 Elsevier B.V. All rights reserved.