Variance Estimation Based on Invariance Principles
作者:
Josef Steinebach,
期刊:
Statistics
(Taylor Available online 1995)
卷期:
Volume 27,
issue 1-2
页码: 15-25
ISSN:0233-1888
年代: 1995
DOI:10.1080/02331889508802507
出版商: Gordon & Breach Science Publishers
关键词: AMS 1991 subject classification;Primary 62G05;secondary 62G20;60F17;consistent variance estimation;invariance principle;Wiener process;renewal process;convergence rate;extreme value asymptotics;change point problem;increments of Wiener processes
数据来源: Taylor
摘要:
Consistent variance estimators for certain stochastic processes are suggested using the fact that (weak or strong) invariance principles may be available. Convergence rates are also derived, the latter being essentially determined by the approximation rates in the corresponding invariance principles. As an application, a change point test in a simple AMOC renewal model is briefly discussed, where variance estimators possessing good enough convergence rates are required.
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