کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1144752 | 957431 | 2012 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weighted sums of associated variables
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the convergence of weighted sums of associated random variables. The convergence for the typical n1/pn1/p normalization is proved assuming finiteness of moments somewhat larger than pp, but still smaller than 2, together with suitable control on the covariance structure described by a truncation that generates covariances that do not grow too quickly. We also consider normalizations of the form n1/qlog1/γnn1/qlog1/γn, where qq is now linked with the properties of the weighting sequence. We prove the convergence under a moment assumption than is weaker that the usual existence of the moment-generating function. Our results extend analogous characterizations known for sums of independent or negatively dependent random variables.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Korean Statistical Society - Volume 41, Issue 4, December 2012, Pages 537–542
Journal: Journal of the Korean Statistical Society - Volume 41, Issue 4, December 2012, Pages 537–542
نویسندگان
Paulo Eduardo Oliveira,