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An Introduction to the Theory of Point Processes

2006-04-10 Mathematics
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Release : 2006-04-10
Genre : Mathematics
Kind : eBook
Book Rating : 646/5 ( reviews)

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Book Synopsis An Introduction to the Theory of Point Processes by : D.J. Daley

Download or read book An Introduction to the Theory of Point Processes written by D.J. Daley. This book was released on 2006-04-10. Available in PDF, EPUB and Kindle. Book excerpt: Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.

Point Processes

2018-12-19 Mathematics
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Release : 2018-12-19
Genre : Mathematics
Kind : eBook
Book Rating : 86X/5 ( reviews)

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Book Synopsis Point Processes by : D.R. Cox

Download or read book Point Processes written by D.R. Cox. This book was released on 2018-12-19. Available in PDF, EPUB and Kindle. Book excerpt: There has been much recent research on the theory of point processes, i.e., on random systems consisting of point events occurring in space or time. Applications range from emissions from a radioactive source, occurrences of accidents or machine breakdowns, or of electrical impluses along nerve fibres, to repetitive point events in an individual's medical or social history. Sometimes the point events occur in space rather than time and the application here raneg from statistical physics to geography. The object of this book is to develop the applied mathemathics of point processes at a level which will make the ideas accessible both to the research worker and the postgraduate student in probability and statistics and also to the mathemathically inclined individual in another field interested in using ideas and results. A thorough knowledge of the key notions of elementary probability theory is required to understand the book, but specialised "pure mathematical" coniderations have been avoided.

Point Process Calculus in Time and Space

2021-12-07 Mathematics
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Release : 2021-12-07
Genre : Mathematics
Kind : eBook
Book Rating : 553/5 ( reviews)

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Book Synopsis Point Process Calculus in Time and Space by : Pierre Brémaud

Download or read book Point Process Calculus in Time and Space written by Pierre Brémaud. This book was released on 2021-12-07. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. Classical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. Written in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.

Poisson Point Processes

2010-09-15 Technology & Engineering
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Release : 2010-09-15
Genre : Technology & Engineering
Kind : eBook
Book Rating : 233/5 ( reviews)

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Book Synopsis Poisson Point Processes by : Roy L. Streit

Download or read book Poisson Point Processes written by Roy L. Streit. This book was released on 2010-09-15. Available in PDF, EPUB and Kindle. Book excerpt: "Poisson Point Processes provides an overview of non-homogeneous and multidimensional Poisson point processes and their numerous applications. Readers will find constructive mathematical tools and applications ranging from emission and transmission computed tomography to multiple target tracking and distributed sensor detection, written from an engineering perspective. A valuable discussion of the basic properties of finite random sets is included. Maximum likelihood estimation techniques are discussed for several parametric forms of the intensity function, including Gaussian sums, together with their Cramer-Rao bounds. These methods are then used to investigate: -Several medical imaging techniques, including positron emission tomography (PET), single photon emission computed tomography (SPECT), and transmission tomography (CT scans) -Various multi-target and multi-sensor tracking applications, -Practical applications in areas like distributed sensing and detection, -Related finite point processes such as marked processes, hard core processes, cluster processes, and doubly stochastic processes, Perfect for researchers, engineers and graduate students working in electrical engineering and computer science, Poisson Point Processes will prove to be an extremely valuable volume for those seeking insight into the nature of these processes and their diverse applications.

Point Processes and Jump Diffusions

2021-06-17 Business & Economics
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Release : 2021-06-17
Genre : Business & Economics
Kind : eBook
Book Rating : 671/5 ( reviews)

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Book Synopsis Point Processes and Jump Diffusions by : Tomas Björk

Download or read book Point Processes and Jump Diffusions written by Tomas Björk. This book was released on 2021-06-17. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding and working knowledge of point-process theory as well as its applications in finance.

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