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Titlebook: Stochastic Processes in Engineering Systems; Eugene Wong,Bruce Hajek Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 Bandpa

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书目名称Stochastic Processes in Engineering Systems
编辑Eugene Wong,Bruce Hajek
视频video
丛书名称Springer Texts in Electrical Engineering
图书封面Titlebook: Stochastic Processes in Engineering Systems;  Eugene Wong,Bruce Hajek Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 Bandpa
描述This book is a revision of Stochastic Processes in Information and Dynamical Systems written by the first author (E.W.) and published in 1971. The book was originally written, and revised, to provide a graduate level text in stochastic processes for students whose primary interest is its applications. It treats both the traditional topic of sta­ tionary processes in linear time-invariant systems as well as the more modern theory of stochastic systems in which dynamic structure plays a profound role. Our aim is to provide a high-level, yet readily acces­ sible, treatment of those topics in the theory of continuous-parameter stochastic processes that are important in the analysis of information and dynamical systems. The theory of stochastic processes can easily become abstract. In dealing with it from an applied point of view, we have found it difficult to decide on the appropriate level of rigor. We intend to provide just enough mathematical machinery so that important results can be stated PREFACE vi with precision and clarity; so much ofthe theory of stochastic processes is inherently simple if the suitable framework is provided. The price of providing this framework seems worth
出版日期Textbook 1985Latest edition
关键词Bandpass; Gaussian process; Likelihood; Markov; Markov process; Probability theory; Random variable; Semima
版次2
doihttps://doi.org/10.1007/978-1-4612-5060-9
isbn_softcover978-1-4612-9545-7
isbn_ebook978-1-4612-5060-9Series ISSN 1431-8482
issn_series 1431-8482
copyrightSpringer-Verlag New York Inc. 1985
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Stochastic Processes,ified, the parameter set . will always be taken to be an interval. By definition, for each ., . . is an .-measurable function. For each ., {. .(.), . ∈ .} is a function defined on . and is called a sample function of the process.
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One-Dimensional Diffusions, is primarily a semigroup theory. Even though much of this theory has not found its way into applications in physical problems, the elucidation that is made possible with the semigroup approach makes it indispensable in any treatment of Markov processes.
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Stochastic Processes in Engineering Systems978-1-4612-5060-9Series ISSN 1431-8482
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Second-Order Processes,In this chapter it will actually be easier to deal with complex-valued random variables and stochastic processes. A complex-valued random variable . is a complex-valued function on Ω such that its real and imaginary parts are real random variables.
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