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Titlebook: Stochastic Processes - Inference Theory; Malempati M. Rao Book 2014Latest edition Springer International Publishing Switzerland 2014 60Gxx

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发表于 2025-3-21 18:12:23 | 显示全部楼层 |阅读模式
书目名称Stochastic Processes - Inference Theory
编辑Malempati M. Rao
视频videohttp://file.papertrans.cn/879/878106/878106.mp4
概述Provides a rigorous introduction to stochastic analysis and inference theory.Enriches understanding of nontrivial statistical inference problems on stochastic processes.Gives inside in Kalman filter a
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Stochastic Processes - Inference Theory;  Malempati M. Rao Book 2014Latest edition Springer International Publishing Switzerland 2014 60Gxx
描述.This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander‘s fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics..The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory..
出版日期Book 2014Latest edition
关键词60Gxx, 60H05, 60H30, 60J25, 62J02, 62MXX; Kalman filter analysis; Ridge regression; nontrivial statist
版次2
doihttps://doi.org/10.1007/978-3-319-12172-7
isbn_softcover978-3-319-37434-5
isbn_ebook978-3-319-12172-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing Switzerland 2014
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Principles of Hypothesis Testing,e fundamental lemma of Neyman-Pearson, in its abstract version due to Grenander, and a few of its applications as well as a technique in reducing composite hypotheses by means of weights. The latter contains a detailed Bayes methodology with iterated priors and some uniformity conditions that admit extensions to stochastic processes.
发表于 2025-3-22 02:35:17 | 显示全部楼层
Sampling and Regression for Processes,, if they present the essential characteristics of the process on the bigger segment. A basic result in this direction for second order processes is the one due independently to Kotel’nikov and Shannon, and we present some results of this type for the stationary as well as some general processes, in Section 1.
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More on Stochastic Inference,r is composite, several new problems arise. In this chapter, we consider some of these questions in detail. The results again depend on likelihood ratios, and an extension of the Neyman-Pearson-Grenander theorem is once more of importance.
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978-3-319-37434-5Springer International Publishing Switzerland 2014
发表于 2025-3-22 16:13:57 | 显示全部楼层
Stochastic Processes - Inference Theory978-3-319-12172-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
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Prediction and Filtering of Processes,This chapter is devoted to a different class of applications complementing the preceding work. The first section contains a comparative analysis of general prediction operations relative to a convex loss function, and its relation to projection operators.
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