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Titlebook: An Introduction to Stochastic Processes and Their Applications; Petar Todorovic Book 1992 The Applied Probability Trust 1992 Brownian moti

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期刊全稱An Introduction to Stochastic Processes and Their Applications
影響因子2023Petar Todorovic
視頻videohttp://file.papertrans.cn/156/155498/155498.mp4
學(xué)科分類Springer Series in Statistics
圖書封面Titlebook: An Introduction to Stochastic Processes and Their Applications;  Petar Todorovic Book 1992 The Applied Probability Trust 1992 Brownian moti
影響因子This text on stochastic processes and their applications is based on a set of lectures given during the past several years at the University of California, Santa Barbara (UCSB). It is an introductory graduate course designed for classroom purposes. Its objective is to provide graduate students of statistics with an overview of some basic methods and techniques in the theory of stochastic processes. The only prerequisites are some rudiments of measure and integration theory and an intermediate course in probability theory. There are more than 50 examples and applications and 243 problems and complements which appear at the end of each chapter. The book consists of 10 chapters. Basic concepts and definitions are pro- vided in Chapter 1. This chapter also contains a number of motivating ex- amples and applications illustrating the practical use of the concepts. The last five sections are devoted to topics such as separability, continuity, and measurability of random processes, which are discussed in some detail. The concept of a simple point process on R+ is introduced in Chapter 2. Using the coupling inequality and Le Cam‘s lemma, it is shown that if its counting function is stochast
Pindex Book 1992
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The Poisson Process and Its Ramifications,countable sets of points randomly distributed on the real line or in an arbitrary space (for instance, Cartesian .-dimensional space) is called the “Theory of Point Processes.” Of all point processes, those on the real line have been most widely studied. Notwithstanding their relatively simple struc
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R. Buck-Emden,R. Cordes,H. Langend?rferIn many applications of the theory of stochastic processes, an important role is played by families of square integrable (second-order) r.v.’s. In this section, we give some basic definitions and prove some fundamental inequalities involving second-order complex-valued r.v.’s.
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