Characterization of distributions by using the conditional expectations of generalized order statistics
Yükleniyor...
Dosyalar
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, some continuous distributions through the properties of conditional expectations of generalized order statistics are characterized. Let X_{1:n:m:k},...,X_{n:n:m:k} be the generalized order statistics, where n??,k>0,m?,...,m_{n-1}??, M_{r}=?_{j=r}??m_{j},1?r?n-1,?_{r}=k+n-r+M_{r}>0 for all r?{1,...,n-1} and let m={m?,...,m_{n-1}}, if n?2, m??, arbitrary, if n=1. Characterization theorems for a general class of distributions are presented in terms of the function E{g(X_{j:n:m:m+1})?X_{j-p:n:m:m+1}=x,X_{j+q:n:m:m+1}=y}=A(x,y), where k=m+1, p and q are positive integers such that p+1?j?n-q and g(.), A(.,.) is a real valued function satisfying certain regularity conditions.
Açıklama
http://sjam.selcuk.edu.tr/sjam/article/view/204
Anahtar Kelimeler
Dağılımların karakterizasyonu, Characterization of distributions, Genelleştirilmiş sipariş istatistikleri, Generalized order statistics, Sipariş istatistikleri, Order statistics
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
9
Sayı
Künye
Yıldız, T., Bairamov, I. (2008). Characterization of distributions by using the conditional expectations of generalized order statistics. Selcuk Journal of Applied Mathematics, 9 (2), 19-27.
