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Zbl 1003.62537
Antoch, J.; Hušková, M.; Prášková, Z.
Effect of dependence on statistics for determination of change.
(English)
[J] J. Stat. Plann. Inference 60, No.2, 291-310 (1997). ISSN 0378-3758

Summary: Quite a number of test statistics and estimators for detection of a change in the mean of a series of independent observations were proposed and studied. The purpose of this paper is to examine the behaviour of these statistics if the observations are dependent, particularly, if they form a linear process.
MSC 2000:
*62M10 Time series, etc. (statistics)

Keywords: change-point problem; linear process; location model; AR(1)

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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