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Titlebook: Chaos: A Statistical Perspective; Kung-Sik Chan,Howell Tong Book 2001 Springer-Verlag New York 2001 correlation.deterministic chaos.dynami

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發(fā)表于 2025-3-21 18:58:47 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Chaos: A Statistical Perspective
編輯Kung-Sik Chan,Howell Tong
視頻videohttp://file.papertrans.cn/224/223916/223916.mp4
概述First book on chaos from a statistical perspective
叢書名稱Springer Series in Statistics
圖書封面Titlebook: Chaos: A Statistical Perspective;  Kung-Sik Chan,Howell Tong Book 2001 Springer-Verlag New York 2001 correlation.deterministic chaos.dynami
描述It was none other than Henri Poincare who at the turn of the last century, recognised that initial-value sensitivity is a fundamental source of random- ness. For statisticians working within the traditional statistical framework, the task of critically assimilating randomness generated by a purely de- terministic system, often known as chaos, is an intellectual challenge. Like some other statisticians, we have taken up this challenge and our curiosity as reporters and participants has led us to investigate beyond the earlier discoveries in the field. Earlier statistical work in the area was mostly con- cerned with the estimation of what is sometimes imprecisely called the fractal dimension. During the different stages of our writing, substantial portions of the book were used in lectures and seminars. These include the DMV (German Mathematical Society) Seminar Program, the inaugural session of lectures to the Crisis Points Project at the Peter Wall Institute of Advanced Stud- ies, University of British Columbia and the graduate courses on Time Series Analysis at the University of Iowa, the University of Hong Kong, the Lon- don School of Economics and Political Science, and the Chin
出版日期Book 2001
關(guān)鍵詞correlation; deterministic chaos; dynamical systems; ergodicity; mathematical statistics; mathematics; sta
版次1
doihttps://doi.org/10.1007/978-1-4757-3464-5
isbn_softcover978-1-4419-2936-5
isbn_ebook978-1-4757-3464-5Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag New York 2001
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發(fā)表于 2025-3-21 22:19:58 | 只看該作者
Modeling collaboration of profit centersplications, the fundamental task is to start with the data, especially the real observations, and explore the impact of the various notions relating to chaos on their analysis. This is the area where the statisticians can make truly important contributions. Much research remains to be done, but a good start has been made.
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978-1-4419-2936-5Springer-Verlag New York 2001
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Professionalisierte Beurteilung,In Chapter 4, we have dealt with the initial aspects of statistical analysis of chaos, such as preliminary data analysis and the determination of the embedding dimension. In this chapter, we shall study the statistical analysis of finer structures, such as the correlation dimension, measures of initialvalue sensitivity and map reconstruction.
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Statistical Analysis II,In Chapter 4, we have dealt with the initial aspects of statistical analysis of chaos, such as preliminary data analysis and the determination of the embedding dimension. In this chapter, we shall study the statistical analysis of finer structures, such as the correlation dimension, measures of initialvalue sensitivity and map reconstruction.
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