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Titlebook: Correlation Theory of Stationary and Related Random Functions; Supplementary Notes A. M. Yaglom Book 1987 Springer-Verlag New York Inc. 19

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发表于 2025-3-21 16:29:53 | 显示全部楼层 |阅读模式
书目名称Correlation Theory of Stationary and Related Random Functions
副标题Supplementary Notes
编辑A. M. Yaglom
视频video
丛书名称Springer Series in Statistics
图书封面Titlebook: Correlation Theory of Stationary and Related Random Functions; Supplementary Notes  A. M. Yaglom Book 1987 Springer-Verlag New York Inc. 19
描述.Correlation Theory of Stationary and Related Random . .Functions. is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.
出版日期Book 1987
关键词correlation; probability; probability theory; time series
版次1
doihttps://doi.org/10.1007/978-1-4612-4628-2
isbn_softcover978-1-4612-9090-2
isbn_ebook978-1-4612-4628-2Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag New York Inc. 1987
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发表于 2025-3-21 23:12:19 | 显示全部楼层
0172-7397 aling only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series wh
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发表于 2025-3-22 06:29:02 | 显示全部楼层
Book 1987 with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so
发表于 2025-3-22 11:09:42 | 显示全部楼层
https://doi.org/10.1007/978-3-319-22584-5e variance σ.(.) of any unbiased estimator . of a parameter . can be determined, and hence the absolute . .(.) = σ.(.)/σ.(.) of . can be evaluated. The estimator . (and the estimate .) is called . if .(.) = 1 and . if .(.) → 1 as . → ∞.
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Chapter 2,ation of the result (2.5) in the form .. The last relationship implies the possibility of representing the random sequence .(.) in the form (2.4) by virtue of the so-called theorem on generalized spectral representation of random functions (see the closing part of Note 17 below).
发表于 2025-3-22 21:47:42 | 显示全部楼层
Ahmed Abujoda,Panagiotis Papadimitrioum function arises, usually in an actual physical context. As already emphasized in the Introduction, in order to apply probabilistic methods, we must have an experiment which can be repeated many times under similar conditions and which can lead to different outcomes. The set Ω of all possible outco
发表于 2025-3-23 03:29:55 | 显示全部楼层
C. Bouras,V. Kapoulas,E. Tsanai consider the more general case of the complex-valued function .(.). Assuming that . = 0 for . > . and . < 0, we can write the corresponding generalization of the result (2.5) in the form .. The last relationship implies the possibility of representing the random sequence .(.) in the form (2.4) by v
发表于 2025-3-23 09:14:03 | 显示全部楼层
https://doi.org/10.1007/978-3-319-22584-5stimates thoroughly studied in many statistical texts (see, e.g., Cramér, 1946; Wilks, 1962; Kendall and Stuart, 1966; Silvey, 1970; Zacks, 1971). To compare two different unbiased consistent estimators of ., say, . and ., the .(., .) or . as compared with . is sometimes evaluated by the formula .(.
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