Bayesian Inference for Stochastic Processes

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Release : 2017-12-12
Genre : Mathematics
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Book Rating : 574/5 ( reviews)

Bayesian Inference for Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Inference for Stochastic Processes write by Lyle D. Broemeling. This book was released on 2017-12-12. Bayesian Inference for Stochastic Processes available in PDF, EPUB and Kindle. This is the first book designed to introduce Bayesian inference procedures for stochastic processes. There are clear advantages to the Bayesian approach (including the optimal use of prior information). Initially, the book begins with a brief review of Bayesian inference and uses many examples relevant to the analysis of stochastic processes, including the four major types, namely those with discrete time and discrete state space and continuous time and continuous state space. The elements necessary to understanding stochastic processes are then introduced, followed by chapters devoted to the Bayesian analysis of such processes. It is important that a chapter devoted to the fundamental concepts in stochastic processes is included. Bayesian inference (estimation, testing hypotheses, and prediction) for discrete time Markov chains, for Markov jump processes, for normal processes (e.g. Brownian motion and the Ornstein–Uhlenbeck process), for traditional time series, and, lastly, for point and spatial processes are described in detail. Heavy emphasis is placed on many examples taken from biology and other scientific disciplines. In order analyses of stochastic processes, it will use R and WinBUGS. Features: Uses the Bayesian approach to make statistical Inferences about stochastic processes The R package is used to simulate realizations from different types of processes Based on realizations from stochastic processes, the WinBUGS package will provide the Bayesian analysis (estimation, testing hypotheses, and prediction) for the unknown parameters of stochastic processes To illustrate the Bayesian inference, many examples taken from biology, economics, and astronomy will reinforce the basic concepts of the subject A practical approach is implemented by considering realistic examples of interest to the scientific community WinBUGS and R code are provided in the text, allowing the reader to easily verify the results of the inferential procedures found in the many examples of the book Readers with a good background in two areas, probability theory and statistical inference, should be able to master the essential ideas of this book.

Bayesian Analysis of Stochastic Process Models

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Release : 2012-04-02
Genre : Mathematics
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Book Rating : 039/5 ( reviews)

Bayesian Analysis of Stochastic Process Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Analysis of Stochastic Process Models write by David Insua. This book was released on 2012-04-02. Bayesian Analysis of Stochastic Process Models available in PDF, EPUB and Kindle. Bayesian analysis of complex models based on stochastic processes has in recent years become a growing area. This book provides a unified treatment of Bayesian analysis of models based on stochastic processes, covering the main classes of stochastic processing including modeling, computational, inference, forecasting, decision making and important applied models. Key features: Explores Bayesian analysis of models based on stochastic processes, providing a unified treatment. Provides a thorough introduction for research students. Computational tools to deal with complex problems are illustrated along with real life case studies Looks at inference, prediction and decision making. Researchers, graduate and advanced undergraduate students interested in stochastic processes in fields such as statistics, operations research (OR), engineering, finance, economics, computer science and Bayesian analysis will benefit from reading this book. With numerous applications included, practitioners of OR, stochastic modelling and applied statistics will also find this book useful.

Simulation and Inference for Stochastic Processes with YUIMA

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Release : 2018-06-01
Genre : Computers
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Book Rating : 693/5 ( reviews)

Simulation and Inference for Stochastic Processes with YUIMA - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Simulation and Inference for Stochastic Processes with YUIMA write by Stefano M. Iacus. This book was released on 2018-06-01. Simulation and Inference for Stochastic Processes with YUIMA available in PDF, EPUB and Kindle. The YUIMA package is the first comprehensive R framework based on S4 classes and methods which allows for the simulation of stochastic differential equations driven by Wiener process, Lévy processes or fractional Brownian motion, as well as CARMA, COGARCH, and Point processes. The package performs various central statistical analyses such as quasi maximum likelihood estimation, adaptive Bayes estimation, structural change point analysis, hypotheses testing, asynchronous covariance estimation, lead-lag estimation, LASSO model selection, and so on. YUIMA also supports stochastic numerical analysis by fast computation of the expected value of functionals of stochastic processes through automatic asymptotic expansion by means of the Malliavin calculus. All models can be multidimensional, multiparametric or non parametric.The book explains briefly the underlying theory for simulation and inference of several classes of stochastic processes and then presents both simulation experiments and applications to real data. Although these processes have been originally proposed in physics and more recently in finance, they are becoming popular also in biology due to the fact the time course experimental data are now available. The YUIMA package, available on CRAN, can be freely downloaded and this companion book will make the user able to start his or her analysis from the first page.

Bayesian Inference for Stochastic Processes

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Release : 2021
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Bayesian Inference for Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Inference for Stochastic Processes write by Sean Malory. This book was released on 2021. Bayesian Inference for Stochastic Processes available in PDF, EPUB and Kindle.

Bayesian Inference for Stochastic Processes

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Release : 2007
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Bayesian Inference for Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Inference for Stochastic Processes write by Antonio M. Pievatolo. This book was released on 2007. Bayesian Inference for Stochastic Processes available in PDF, EPUB and Kindle.