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Markov Point Processes And Their Applications


Markov Point Processes And Their Applications
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Markov Point Processes And Their Applications


Markov Point Processes And Their Applications
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Author : Marie-colette Van Lieshout
language : en
Publisher: World Scientific
Release Date : 2000-07-12

Markov Point Processes And Their Applications written by Marie-colette Van Lieshout and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-12 with Mathematics categories.


These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. “High level” image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene.This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of “Gibbs processes”), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy.



Poisson Point Processes And Their Application To Markov Processes


Poisson Point Processes And Their Application To Markov Processes
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Author : Kiyosi Itô
language : en
Publisher: Springer
Release Date : 2015-12-24

Poisson Point Processes And Their Application To Markov Processes written by Kiyosi Itô and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-24 with Mathematics categories.


An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions of a given minimal process (i.e., the process on S \ {a} which is absorbed on reaching the boundary a). The study in this lecture is restricted to a simpler case of the boundary a being a discontinuous entrance point, leaving a more general case of a continuous entrance point to future works. He established a one-to-one correspondence between a recurrent extension and a pair of a positive measure k(db) on S \ {a} (called the jumping-in measure and a non-negative number m



Spatial Point Process Modelling And Its Applications


Spatial Point Process Modelling And Its Applications
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Author : Adrian Baddeley
language : en
Publisher: Publicacions de la Universitat Jaume I
Release Date : 2004

Spatial Point Process Modelling And Its Applications written by Adrian Baddeley and has been published by Publicacions de la Universitat Jaume I this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


Este libro de proceedings se edita para ponerlo a disposición de los asistentes a la Internacional Conference on Spatial Pont Process Modelling and its Applications (SPPA), realizada en Benicàssim en abril de 2004.



Markov Processes For Stochastic Modeling


Markov Processes For Stochastic Modeling
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Author : Oliver Ibe
language : en
Publisher: Newnes
Release Date : 2013-05-22

Markov Processes For Stochastic Modeling written by Oliver Ibe and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-22 with Mathematics categories.


Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. - Presents both the theory and applications of the different aspects of Markov processes - Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented - Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.



Point Process Theory And Applications


Point Process Theory And Applications
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Author : Martin Jacobsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-27

Point Process Theory And Applications written by Martin Jacobsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-27 with Mathematics categories.


Mathematically rigorous exposition of the basic theory of marked point processes and piecewise deterministic stochastic processes Point processes are constructed from scratch with detailed proofs Includes applications with examples and exercises in survival analysis, branching processes, ruin probabilities, sports (soccer), finance and risk management, and queueing theory Accessible to a wider cross-disciplinary audience



Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : M.J. Beckmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Processes And Their Applications written by M.J. Beckmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


A volume of this nature containing a collection of papers has been brought out to honour a gentleman - a friend and a colleague - whose work has, to a large extent, advanced and popularized the use of stochastic point processes. Professor Srinivasan celebrated his sixt~ first 1:!irth d~ on December 16,1990 and will be retiring as Professor of Applied Mathematics from the Indian Institute of Technolo~, Madras on June 30,1991. In view of his outstanding contributions to the theor~ and applications of stochastic processes over a time span of thirt~ ~ears, it seemed appropriate not to let his birth d~ and retirement pass unnoticed. A s~posium in his honour and the publication of the proceedings appeared to us to be the most natural and sui table ~ to mark the occasion. The Indian Societ~ for ProbabU it~ and Statistics volunteered to organize the S~posium as part of their XII Annual conference in Bomba~. We requested a number of long-time friends, colleagues and former students of Professor Srinivasan to contribute a paper preferabl~ in the area of stochastic processes and their applications. The positive response and the enthusiastic cooperation of these distinguished scientists have resulted in the present collection. The contributions to this volume are divided into four parts: Stochastic Theor~ (2 articles), P~sics (6 articles), Biolo~ (4 articles) and Operations Research (12 articles). In addition the ke~note address delivered b~ Professor Srinivasan in the S~posium is also included.



Point Processes And Jump Diffusions


Point Processes And Jump Diffusions
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Author : Tomas Björk
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-17

Point Processes And Jump Diffusions written by Tomas Björk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-17 with Business & Economics categories.


Develop a deep understanding and working knowledge of point-process theory as well as its applications in finance.



Point Process Models With Applications To Safety And Reliability


Point Process Models With Applications To Safety And Reliability
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Author : W. Thompson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Point Process Models With Applications To Safety And Reliability written by W. Thompson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.


In teaching an elementary course in stochastic processes it was noticed that many seemingly deep results in point processes are readily accessible by the device of representing them in terms of random gap lengths between points. The possibility of representing point processes in terms of sequences of random variables rather than probability measures makes them mathemati cally simpler than general stochastic processes. Point processes can be studied using only the tools of elementary probability, that is the joint distributions of finitely many random variables. Given the wide applicability of point process models and the difficulty of access by the measure-theoretic route, it was determined that the simpler representation is of sufficient expository im portance to deserve emphasis. The present book is the result: it is specialized and short and therefore is called a monograph. In its development the material has been taught to several classes with pleasing results. Students have apparently understood theorems which by other methods appear difficult and deep. A few of the results, particularly on reliability, safety assessment and clustering, are original applied research. An alternative title for this monograph might be 'Point processes: What they are and what they are good for.



Stochastic Point Processes And Their Applications


Stochastic Point Processes And Their Applications
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Author : S. Kidambi Srinivasan
language : en
Publisher:
Release Date : 1974

Stochastic Point Processes And Their Applications written by S. Kidambi Srinivasan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.