کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1145928 | 1489686 | 2013 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dependence structure of bivariate order statistics with applications to Bayramoglu’s distributions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز عددی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the dependence structure of bivariate order statistics from bivariate distributions, and prove that if the underlying bivariate distribution HH is positive quadrant dependent (PQD) then so is each pair of bivariate order statistics. As an application, we show that if HH is PQD, the bivariate distribution K+(n), recently proposed by Bairamov and Bayramoglu (2012) [1], is greater than or equal to Baker’s (2008) [2] distribution H+(n), and hence K+(n) attains a correlation higher than that of H+(n). We give two explicit forms of the intractable K+(n) and prove that for all n≥2n≥2, K+(n) is PQD regardless of HH. We also show that if HH is PQD, K+(n) converges weakly to the Fréchet–Hoeffding upper bound as nn tends to infinity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 114, February 2013, Pages 201–208
Journal: Journal of Multivariate Analysis - Volume 114, February 2013, Pages 201–208
نویسندگان
J.S. Huang, Xiaoling Dou, Satoshi Kuriki, G.D. Lin,