Distributions of order statistics arising from non-identical continuous variables

Year 2010, Volume: 3 Issue: 2, 63 - 68, 30.12.2010

Mehmet Güngör Fahrettin Özbey

Abstract

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.

Aynı olmayan, sürekli değişkenlerin artan sıralı istatistiklerinin dağılımları üzerine

Abstract

Bu çalışmada, bağımsız fakat aynı dağılımlı olması gerekmeyen sürekli tesadüfi değişkenlerin artan r-inci sıralı istatistiklerinin dağılım fonksiyonu ve olasılık yoğunluk fonksiyonu ifade edildi. Bağımsız fakat aynı dağılımlı olması gerekmeyen sürekli tesadüfi değişkenlerin sıralı istatistiklerinin maksimum ve minimum dağılımlarıyla ilgili sonuçlar verildi.

Keywords

Sıralı istatistikler, Permanent, Sürekli tesadüfi değişken, Olasılık yoğunluk fonksiyonu, Dağılım fonksiyonu.

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