Multiple change point detection by sparse parameter estimation

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Authors

NEUBAUER Jiří VESELÝ Vítězslav

Year of publication 2010
Type Article in Proceedings
Conference Proceedings of COMPSTAT'2010, 19th International Conference on Computational Statistics
MU Faculty or unit

Faculty of Economics and Administration

Citation
Web http://www.econ.muni.cz/~vesely/papers/Compstat10.pdf
Field Applied statistics, operation research
Keywords multiple change point detection; overparametrized model; sparse parameter estimation; basis pursuit algorithm
Description The contribution is focused on multiple change point detection in a onedimensional stochastic process by sparse parameter estimation from an overparametrized model. Stochastic process with changes in the mean is estimated using dictionary consisting of Heaviside functions. The basis pursuit algorithm is used to get sparse parameter estimates. Some properties of mentioned method are studied by simulations.
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