Extremes of locally stationary chi-square processes with trend

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• 作者：Peng Liu^a ; ^b ; Lanpeng Ji^a ; ^c ; ^{lanpeng.ji@unil.ch}
• 关键词：primary ; 60G15 ; secondary ; 60G70
• 刊名：Stochastic Processes and their Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：127
• 期：2
• 页码：497-525
• 全文大小：385 K
• 卷排序：127

文摘

Chi-square processes with trend appear naturally as limiting processes in various statistical models. In this paper we are concerned with the exact tail asymptotics of the supremum taken over (0,1)(0,1) of a class of locally stationary chi-square processes with particular admissible trends. An important tool for establishing our results is a weak version of Slepian’s lemma for chi-square processes. Some special cases including squared Brownian bridge and Bessel process are discussed.