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Sample Path Analysis and Distributions of Boundary Crossing Times (Paperback, 1st ed. 2017)
Loot Price: R1,776
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Sample Path Analysis and Distributions of Boundary Crossing Times (Paperback, 1st ed. 2017)
Series: Lecture Notes in Mathematics, 2203
Expected to ship within 10 - 15 working days
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This monograph is focused on the derivations of exact distributions
of first boundary crossing times of Poisson processes, compound
Poisson processes, and more general renewal processes. The content
is limited to the distributions of first boundary crossing times
and their applications to various stochastic models. This book
provides the theory and techniques for exact computations of
distributions and moments of level crossing times. In addition,
these techniques could replace simulations in many cases, thus
providing more insight about the phenomenona studied. This book
takes a general approach for studying telegraph processes and is
based on nearly thirty published papers by the author and
collaborators over the past twenty five years. No prior knowledge
of advanced probability is required, making the book widely
available to students and researchers in applied probability,
operations research, applied physics, and applied mathematics.
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