Название: Mathematical Foundations of Time Series Analysis Автор: Jan Beran Издательство: Springer International Publishing Год: 2017 ISBN: 9783319743806 Формат: epub, pdf Страниц: IX, 307 Размер: 10,1 mb Язык: English
This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. It appeals to anybody wanting to understand time series in a precise, mathematical manner. It is suitable for graduate courses in time series analysis but is equally useful as a reference work for students and researchers alike.
Introduction Beran, Jan Pages 1-4
Typical Assumptions Beran, Jan Pages 5-68
Defining Probability Measures for Time Series Beran, Jan Pages 69-100
Spectral Representation of Univariate Time Series Beran, Jan Pages 101-135
Spectral Representation of Real Valued Vector Time Series Beran, Jan Pages 137-159
Univariate ARMA Processes Beran, Jan Pages 161-202
Generalized Autoregressive Processes Beran, Jan Pages 203-222
Prediction Beran, Jan Pages 223-239
Inference for ?, ? and F Beran, Jan Pages 241-280
Parametric Estimation Beran, Jan Pages 281-291
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