کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1153952 | 958361 | 2008 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the connections between weakly stable and pseudo-isotropic distributions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A random vector X is weakly stable iff for all a,bâR there exists a random variable Î such that aX+bXâ²=dXÎ. This is equivalent (see Misiewicz et al. [Misiewicz, J.K., Oleszkiewicz, K., Urbanik, K., 2005. Classes of measures closed under mixing and convolution. Weak stability. Stud. Math. 167 (3), 195-213]) to the condition that for all random variables Q1,Q2 there exists a random variable Î such that (â )XQ1+Xâ²Q2=dXÎ, where X,Xâ²,Q1,Q2,Î are independent. Some of the weakly stable distributions turn out to be the extreme points for the class of pseudo-isotropic distributions, where the distribution is pseudo-isotropic if all its one-dimensional projections are the same up to a scale parameter. We show here that the scaling function for pseudo-isotropic distribution can define a generalized distribution iff it is an α-norm for some α>0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 78, Issue 16, November 2008, Pages 2751-2755
Journal: Statistics & Probability Letters - Volume 78, Issue 16, November 2008, Pages 2751-2755
نویسندگان
B.H. Jasiulis, J.K. Misiewicz,