Distributions of order statistics arising from non-identical continuous variables
Öz
In this study, the probability density function(pdf) and distribution function(df) of the rth order statistics arising from independent but not necessarily identically distributed(innid) continuous random variables are expressed. Then, the results related to distributions of minimum and maximum order statistics of innid continuous random variables are given.
Kaynakça
- B. C. Arnold, N. Balakrishnan and H. N. Nagaraja, 1992, A first course in order statistics, John Wiley and Sons Inc., New York.
- N. Balakrishnan, 2007, Permanents, order statistics, outliers and robustness, Rev. Mat. Complut. 20, no.1, 7-107.
- K. Balasubramanian and M. I. Beg, 2003, On special linear identities for order statistics, Statistics 37, no.4, 335-339.
- K. Balasubramanian, M. I. Beg and R. B. Bapat, 1991, On families of distributions closed under extrema, Sankhy: Ser. A 53, no.3, 375-388.
- K. Balasubramanian, M. I. Beg and R. B. Bapat, 1996, An identity for the joint distribution of order statistics and its applications, J. Statist. Plann. Inference 55, no.1, 13-21.
- K. Balasubramanian, N. Balakrishnan and H. J. Malik, 1994, Identities for order statistics from non- independent non- identical variables, Sankhy: Ser. B 56, no.1, 67-75.
- R. B. Bapat and M. I. Beg, 1989, Order statistics for nonidentically distributed variables and permanents, Sankhy: Ser. A 51, no.1, 79-93.
- M. I. Beg, 1991, Recurrence relations and identities for product moments of order statistics corresponding to nonidentically distributed variables, Sankhy: Ser. A 53, no.3, 365-374.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Aralık 2010
Gönderilme Tarihi
23 Temmuz 2014
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2010 Cilt: 3 Sayı: 2