Classical and Spatial Stochastic Processes

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Publisher : Springer
ISBN 13 : 1493918699
Total Pages : 271 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Classical and Spatial Stochastic Processes by : Rinaldo B. Schinazi

Download or read book Classical and Spatial Stochastic Processes written by Rinaldo B. Schinazi and published by Springer. This book was released on 2014-09-27 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised and expanded edition of this textbook presents the concepts and applications of random processes with the same illuminating simplicity as its first edition, but with the notable addition of substantial modern material on biological modeling. While still treating many important problems in fields such as engineering and mathematical physics, the book also focuses on the highly relevant topics of cancerous mutations, influenza evolution, drug resistance, and immune response. The models used elegantly apply various classical stochastic models presented earlier in the text, and exercises are included throughout to reinforce essential concepts. The second edition of Classical and Spatial Stochastic Processes is suitable as a textbook for courses in stochastic processes at the advanced-undergraduate and graduate levels, or as a self-study resource for researchers and practitioners in mathematics, engineering, physics, and mathematical biology. Reviews of the first edition: An appetizing textbook for a first course in stochastic processes. It guides the reader in a very clever manner from classical ideas to some of the most interesting modern results. ... All essential facts are presented with clear proofs, illustrated by beautiful examples. ... The book is well organized, has informative chapter summaries, and presents interesting exercises. The clear proofs are concentrated at the ends of the chapters making it easy to find the results. The style is a good balance of mathematical rigorosity and user-friendly explanation. —Biometric Journal This small book is well-written and well-organized. ... Only simple results are treated ... but at the same time many ideas needed for more complicated cases are hidden and in fact very close. The second part is a really elementary introduction to the area of spatial processes. ... All sections are easily readable and it is rather tentative for the reviewer to learn them more deeply by organizing a course based on this book. The reader can be really surprised seeing how simple the lectures on these complicated topics can be. At the same time such important questions as phase transitions and their properties for some models and the estimates for certain critical values are discussed rigorously. ... This is indeed a first course on stochastic processes and also a masterful introduction to some modern chapters of the theory. —Zentralblatt Math

Classical and Spatial Stochastic Processes

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Publisher :
ISBN 13 : 9783764340810
Total Pages : 178 pages
Book Rating : 4.3/5 (48 download)

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Book Synopsis Classical and Spatial Stochastic Processes by : Rinaldo B. Schinazi

Download or read book Classical and Spatial Stochastic Processes written by Rinaldo B. Schinazi and published by . This book was released on 1999-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatial Stochastic Processes

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Publisher :
ISBN 13 : 9781461204527
Total Pages : 280 pages
Book Rating : 4.2/5 (45 download)

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Book Synopsis Spatial Stochastic Processes by : K. S. Alexander

Download or read book Spatial Stochastic Processes written by K. S. Alexander and published by . This book was released on 1991-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatial Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204518
Total Pages : 265 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Spatial Stochastic Processes by : K.S. Alexander

Download or read book Spatial Stochastic Processes written by K.S. Alexander and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has been created in honor of the seventieth birthday of Ted Harris, which was celebrated on January 11th, 1989. The papers rep resent the wide range of subfields of probability theory in which Ted has made profound and fundamental contributions. This breadth in Ted's research complicates the task of putting together in his honor a book with a unified theme. One common thread noted was the spatial, or geometric, aspect of the phenomena Ted investigated. This volume has been organized around that theme, with papers covering four major subject areas of Ted's research: branching processes, percola tion, interacting particle systems, and stochastic flows. These four topics do not· exhaust his research interests; his major work on Markov chains is commemorated in the standard technology "Harris chain" and "Harris recurrent" . The editors would like to take this opportunity to thank the speakers at the symposium and the contributors to this volume. Their enthusi astic support is a tribute to Ted Harris. We would like to express our appreciation to Annette Mosley for her efforts in typing the manuscripts and to Arthur Ogawa for typesetting the volume. Finally, we gratefully acknowledge the National Science Foundation and the University of South ern California for their financial support.

Topics in Spatial Stochastic Processes

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Publisher : Springer
ISBN 13 : 3540362592
Total Pages : 258 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topics in Spatial Stochastic Processes by : Vincenzo Capasso

Download or read book Topics in Spatial Stochastic Processes written by Vincenzo Capasso and published by Springer. This book was released on 2003-07-03 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

Stochastic Geometry, Spatial Statistics and Random Fields

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Publisher : Springer
ISBN 13 : 3319100645
Total Pages : 464 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Stochastic Geometry, Spatial Statistics and Random Fields by : Volker Schmidt

Download or read book Stochastic Geometry, Spatial Statistics and Random Fields written by Volker Schmidt and published by Springer. This book was released on 2014-10-24 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered with a focus on asymptotic methods.

Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA

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Publisher : CRC Press
ISBN 13 : 0429629850
Total Pages : 284 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA by : Elias T. Krainski

Download or read book Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA written by Elias T. Krainski and published by CRC Press. This book was released on 2018-12-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package. Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications. This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package. It also includes a wide range of applications: * Spatial and spatio-temporal models for continuous outcomes * Analysis of spatial and spatio-temporal point patterns * Coregionalization spatial and spatio-temporal models * Measurement error spatial models * Modeling preferential sampling * Spatial and spatio-temporal models with physical barriers * Survival analysis with spatial effects * Dynamic space-time regression * Spatial and spatio-temporal models for extremes * Hurdle models with spatial effects * Penalized Complexity priors for spatial models All the examples in the book are fully reproducible. Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book. The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others. Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.

Basics of Applied Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540893326
Total Pages : 452 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Basics of Applied Stochastic Processes by : Richard Serfozo

Download or read book Basics of Applied Stochastic Processes written by Richard Serfozo and published by Springer Science & Business Media. This book was released on 2009-01-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system’s data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models. The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes.

Topics in Spatial Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540002956
Total Pages : 268 pages
Book Rating : 4.0/5 (29 download)

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Book Synopsis Topics in Spatial Stochastic Processes by : Vincenzo Capasso

Download or read book Topics in Spatial Stochastic Processes written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2003-01-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

Spatial Branching Processes, Random Snakes and Partial Differential Equations

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Publisher : Birkhäuser
ISBN 13 : 3034886837
Total Pages : 170 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Spatial Branching Processes, Random Snakes and Partial Differential Equations by : Jean-Francois Le Gall

Download or read book Spatial Branching Processes, Random Snakes and Partial Differential Equations written by Jean-Francois Le Gall and published by Birkhäuser. This book was released on 2012-12-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces several remarkable new probabilistic objects that combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial differential equations (PDE). The Brownian snake approach is used to give a powerful representation of superprocesses and also to investigate connections between superprocesses and PDEs. These are notable because almost every important probabilistic question corresponds to a significant analytic problem.

Stochastic Spatial Processes

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Publisher : Springer
ISBN 13 : 3540470530
Total Pages : 320 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Stochastic Spatial Processes by : Petre Tautu

Download or read book Stochastic Spatial Processes written by Petre Tautu and published by Springer. This book was released on 2006-11-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a Conference held in Heidelberg, September 10 - 14, 1984

Stationary Stochastic Processes

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Publisher : CRC Press
ISBN 13 : 1466557796
Total Pages : 378 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Stationary Stochastic Processes by : Georg Lindgren

Download or read book Stationary Stochastic Processes written by Georg Lindgren and published by CRC Press. This book was released on 2012-10-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field’s widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on stationary point processes. Features Presents and illustrates the fundamental correlation and spectral methods for stochastic processes and random fields Explains how the basic theory is used in special applications like detection theory and signal processing, spatial statistics, and reliability Motivates mathematical theory from a statistical model-building viewpoint Introduces a selection of special topics, including extreme value theory, filter theory, long-range dependence, and point processes Provides more than 100 exercises with hints to solutions and selected full solutions This book covers key topics such as ergodicity, crossing problems, and extremes, and opens the doors to a selection of special topics, like extreme value theory, filter theory, long-range dependence, and point processes, and includes many exercises and examples to illustrate the theory. Precise in mathematical details without being pedantic, Stationary Stochastic Processes: Theory and Applications is for the student with some experience with stochastic processes and a desire for deeper understanding without getting bogged down in abstract mathematics.

Stochastic Processes for Spatial Econometrics

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Publisher : Netbiblo
ISBN 13 : 849745412X
Total Pages : 90 pages
Book Rating : 4.4/5 (974 download)

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Book Synopsis Stochastic Processes for Spatial Econometrics by : Jorge Mateu Mahiques

Download or read book Stochastic Processes for Spatial Econometrics written by Jorge Mateu Mahiques and published by Netbiblo. This book was released on 2010 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general methodology which is shown to be valid in the analysis of spatial point structures and that is certainly easier to use by non-expert researchers coming from other applied sciences than other much modern techniques. We suggest that the local conditioning approach has the advantage that it is statistically efficient, easy to correct for edge-effects and provides similar results than other (more complicated) likelihood-based methods. We show a mathematical justification to prove that any purely inhibitory pairwise interaction point process (pipp) can be obtained as the limit of a sequence of auto-Poisson lattice schemes and within this context we develop the pseudolikelihood estimating equations. We particularly focus on developing a Monte Carlo simulation study to analyze the behaviour of the parameter s of a particular pipp model derived using this technique. We also stress that this methodology has a wide range of applications in many fields, particularly in economy and demography.

Stochastic Spatial Processes

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Publisher : Springer
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Stochastic Spatial Processes by : Petre Tăutu

Download or read book Stochastic Spatial Processes written by Petre Tăutu and published by Springer. This book was released on 1986 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Spatial Stochastic Processes

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Publisher :
ISBN 13 :
Total Pages : 251 pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Topics in Spatial Stochastic Processes by :

Download or read book Topics in Spatial Stochastic Processes written by and published by . This book was released on 2003 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Inference and Simulation for Spatial Point Processes

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Publisher : CRC Press
ISBN 13 : 9780203496930
Total Pages : 320 pages
Book Rating : 4.4/5 (969 download)

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Book Synopsis Statistical Inference and Simulation for Spatial Point Processes by : Jesper Moller

Download or read book Statistical Inference and Simulation for Spatial Point Processes written by Jesper Moller and published by CRC Press. This book was released on 2003-09-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial point processes play a fundamental role in spatial statistics and today they are an active area of research with many new applications. Although other published works address different aspects of spatial point processes, most of the classical literature deals only with nonparametric methods, and a thorough treatment of the theory and applications of simulation-based inference is difficult to find. Written by researchers at the top of the field, this book collects and unifies recent theoretical advances and examples of applications. The authors examine Markov chain Monte Carlo algorithms and explore one of the most important recent developments in MCMC: perfect simulation procedures.

An Introduction to Stochastic Modeling

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Publisher : Academic Press
ISBN 13 : 1483269272
Total Pages : 410 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.