A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations

التفاصيل البيبلوغرافية
العنوان: A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations
المؤلفون: Borisov, I. S., Volodko, N.
المصدر: Statistics and Probability Letters 96 (2015) 287--291
سنة النشر: 2009
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability
الوصف: Hoeffding-type exponential inequalities are obtained for the distribution tails of canonical von Mises' statistics of arbitrary order based on samples from a stationary sequence of random variables satisfying the {\varphi}-mixing condition. The present paper weakens the restrictions on the coefficient {\varphi}() which are contained in the paper "Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations" by Borisov and Volodko (2009). At the same time, we correct the corresponding proof in this paper.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/0907.0058
رقم الأكسشن: edsarx.0907.0058
قاعدة البيانات: arXiv