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Random Measures, Theory and Applications

Random Measures, Theory and Applications

Olav Kallenberg

204,36 €
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Editorial:
Springer Nature B.V.
Año de edición:
2017
Materia
Probabilidad y estadística
ISBN:
9783319415963

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Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.

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  • Random Measures, Theory and Applications
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  • Probabilistic Symmetries and Invariance Principles
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    This book is about random objects-sequences, processes, arrays, measures, functionals-with interesting symmetry properties. Here symmetry should beunderstoodinthebroadsenseofinvarianceunderafamily(notnecessarily a group) of measurable transformations. To be precise, it is not the random objects themselves but rather their distributions that are assume...