The length of the interval of indeterminacy for the estimate of multiple change-points

• Date: 2007
• Main Author: Shurenkov, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4494
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The length of the interval of indeterminacy for the estimate of multiple change-points / G. Shurenkov // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 251-266. — Бібліогр.: 8 назв.— англ.

This article considers the problem of estimating the length of the interval of indeterminacy during construction of change-points' estimates using dynamical programming. It was proved that mathematical expectation of the length of the interval has asymptotically linear dependency on the penalty...