کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1146479 957512 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Smooth depth contours characterize the underlying distribution
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Smooth depth contours characterize the underlying distribution
چکیده انگلیسی

The Tukey depth is an innovative concept in multivariate data analysis. It can be utilized to extend the univariate order concept and advantages to a multivariate setting. While it is still an open question as to whether the depth contours uniquely determine the underlying distribution, some positive answers have been provided. We extend these results to distributions with smooth depth contours, with elliptically symmetric distributions as special cases. The key ingredient of our proofs is the well-known Cramér–Wold theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 101, Issue 9, October 2010, Pages 2222–2226
نویسندگان
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