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Theory of stochastic objects: probability, stochastic processes, and inference

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"This book introduces the theory of point processes and random objects. It begins by providing necessary background on inference, probability, measure theory, and stochastic processes. It then covers point process theory, including marked and spatio-temporal point processes. Lastly, the text discusses random objects and shape analysis. Written at the graduate level, this book presents the material in a concise and  Read more...

Abstract: "This book introduces the theory of point processes and random objects. It begins by providing necessary background on inference, probability, measure theory, and stochastic processes. It then covers point process theory, including marked and spatio-temporal point processes. Lastly, the text discusses random objects and shape analysis. Written at the graduate level, this book presents the material in a concise and intuitive way, with many simulations, sample computations, and figures to illustrate the theory."--Provided by publisher

Author(s): Micheas, Athanasios Christou
Series: Texts in statistical science
Edition: First edition
Publisher: CRC Press
Year: 2018

Language: English
Pages: 378
Tags: Point processes.;Stochastic processes.;MATHEMATICS -- Applied.;MATHEMATICS -- Probability & Statistics -- General.

Content: Rudimentary models and simulation methods --
Statistical inference --
Measure and integration theory --
Probability theory --
Convergence of random objects --
Random sequences --
Stochastic processes.