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Stationary Marked Point Processes: An Intuitive Approach (Stochastic modeling series)
 
 
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Stationary Marked Point Processes: An Intuitive Approach (Stochastic modeling series) [Hardcover]

Karl Sigman , Shaler Stidham Jr. , Marco Scarsini , Moshe Shaked

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..."is easy to understand...the author has done an excellent job in reaching this goal." -Optimization

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Taking an applied point of view, this book provides an accessible introduction to the theory of stationary random marked point processes on the non-negative real line. The reader will be able to gain an intuitive understanding of stationary marked point processes and be able to apply the theory to stochastic modeling. The emphasis is on time averages and asymptotic stationarity. Proofs of the main results are given using shift-coupling methods and measure theory is kept to a minimum. Examples and exercises are given involving explicit construction of time and event stationary versions, using the 'inspection paradox' as an intuitive guide. The Rate Conservation Law is given and used in applications to queueing theory. The prerequisites are a background in probability theory and stochastic processes up to conditional expectation.

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First Sentence
Throughout this text, ={(tn,kn) : n Z+} denotes a simple marked point process (mpp) on the non-negative time line R+, indexed by the non-negative integers Z+, that is, a sequence of strictly increasing points O t0<t1<t2<. . . , lim tn= , (1.1) called event times or arrival times and marks kn, imagined as objects brought by each arrival, taking values in a space K, the mark space. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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