جلد 6، شماره 1 - ( فروردین 1385 )                   جلد 6 شماره 1 صفحات 31-46 | برگشت به فهرست نسخه ها

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Balakrishnan N, Dembin ́ska A. Ordered Random Variables from Discontinuous Distributions. JIRSS. 2007; 6 (1) :31-46
URL: http://jirss.irstat.ir/article-1-219-fa.html
متغیرهای تصادفی مرتب شده از توزیع‌های ناپیوسته. پژوهشنامه انجمن آمار ایران. 1385; 6 (1) :31-46

URL: http://jirss.irstat.ir/article-1-219-fa.html


چکیده:   (7894 مشاهده)
In the absolutely continuous case, order statistics, record values and several other models of ordered random variables can be viewed as special cases of generalized order statistics, which enables a unified treatment of their theory. This paper deals with discontinuous generalized order statistics, continuing on the recent work of Tran (2006). Specifically, we show that in general neither records nor weak records are submodels of discrete generalized order statistics. Next, we show that progressively Type-II right censored order statistics from an arbitrary distribution can be embedded in the model of generalized order statistics and then use this fact to establish some distributional properties of progressively Type-II right censored order statistics. Finally, we present some characterizations of the geometric distribution based on progressively Type-II right censored order statistics.
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موضوع مقاله: Foundations of probability theory: 60A
دریافت: 1392/5/30 | پذیرش: 1394/6/21 | انتشار: 1385/12/24

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