Space-varying Regression Models

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Space-varying Regression Models by : Dani Gamerman

Download or read book Space-varying Regression Models written by Dani Gamerman and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Space-varying regression models are generalizations of standard linear models where the regression coefficients are allowed to change in space. The spatial structure is specified by a multivariate extension of pairwise difference priors thus enabling incorporation of neighboring structures and easy sampling schemes. Different sampling schemes are available and may be used in an MCMC algorithm. These schemes are compared in terms of chain autocorrelation and resulting inference. We also discuss different prior specifications that accommodate the spatial structure. Results are illustrated with simulated data and applied to a real dataset.

Space-varying Regression Models

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Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Space-varying Regression Models by : Dani Gamerman

Download or read book Space-varying Regression Models written by Dani Gamerman and published by . This book was released on 2001 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recurrent Neural Net Regression Models with Space-varying Coefficients for Pedotransfer Function Estimation and Prediction of Soil Properties

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Recurrent Neural Net Regression Models with Space-varying Coefficients for Pedotransfer Function Estimation and Prediction of Soil Properties by : Daniel Takata Gomes

Download or read book Recurrent Neural Net Regression Models with Space-varying Coefficients for Pedotransfer Function Estimation and Prediction of Soil Properties written by Daniel Takata Gomes and published by . This book was released on 2005 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Testing for Random Walk Coefficients in Regression and State Space Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3642997996
Total Pages : 326 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Testing for Random Walk Coefficients in Regression and State Space Models by : Martin Moryson

Download or read book Testing for Random Walk Coefficients in Regression and State Space Models written by Martin Moryson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression and state space models with time varying coefficients are treated in a thorough manner. State space models are introduced as a means to model time varying regression coefficients. The Kalman filter and smoother recursions are explained in an easy to understand fashion. The main part of the book deals with testing the null hypothesis of constant regression coefficients against the alternative that they follow a random walk. Different exact and large sample tests are presented and extensively compared based on Monte Carlo studies, so that the reader is guided in the question which test to choose in a particular situation. Moreover, different new tests are proposed which are suitable in situations with autocorrelated or heteroskedastic errors. Additionally, methods are developed to test for the constancy of regression coefficients in situations where one knows already that some coefficients follow a random walk, thereby one is enabled to find out which of the coefficients varies over time.

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.

Modeling Financial Time Series with S-PLUS

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217630
Total Pages : 632 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Modeling Financial Time Series with S-PLUS by : Eric Zivot

Download or read book Modeling Financial Time Series with S-PLUS written by Eric Zivot and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of financial econometrics has exploded over the last decade This book represents an integration of theory, methods, and examples using the S-PLUS statistical modeling language and the S+FinMetrics module to facilitate the practice of financial econometrics. This is the first book to show the power of S-PLUS for the analysis of time series data. It is written for researchers and practitioners in the finance industry, academic researchers in economics and finance, and advanced MBA and graduate students in economics and finance. Readers are assumed to have a basic knowledge of S-PLUS and a solid grounding in basic statistics and time series concepts. This Second Edition is updated to cover S+FinMetrics 2.0 and includes new chapters on copulas, nonlinear regime switching models, continuous-time financial models, generalized method of moments, semi-nonparametric conditional density models, and the efficient method of moments. Eric Zivot is an associate professor and Gary Waterman Distinguished Scholar in the Economics Department, and adjunct associate professor of finance in the Business School at the University of Washington. He regularly teaches courses on econometric theory, financial econometrics and time series econometrics, and is the recipient of the Henry T. Buechel Award for Outstanding Teaching. He is an associate editor of Studies in Nonlinear Dynamics and Econometrics. He has published papers in the leading econometrics journals, including Econometrica, Econometric Theory, the Journal of Business and Economic Statistics, Journal of Econometrics, and the Review of Economics and Statistics. Jiahui Wang is an employee of Ronin Capital LLC. He received a Ph.D. in Economics from the University of Washington in 1997. He has published in leading econometrics journals such as Econometrica and Journal of Business and Economic Statistics, and is the Principal Investigator of National Science Foundation SBIR grants. In 2002 Dr. Wang was selected as one of the "2000 Outstanding Scholars of the 21st Century" by International Biographical Centre.

Geographically Weighted Regression

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Publisher : John Wiley & Sons
ISBN 13 : 0470855258
Total Pages : 282 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Geographically Weighted Regression by : A. Stewart Fotheringham

Download or read book Geographically Weighted Regression written by A. Stewart Fotheringham and published by John Wiley & Sons. This book was released on 2003-02-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geographical Weighted Regression (GWR) is a new local modelling technique for analysing spatial analysis. This technique allows local as opposed to global models of relationships to be measured and mapped. This is the first and only book on this technique, offering comprehensive coverage on this new 'hot' topic in spatial analysis. * Provides step-by-step examples of how to use the GWR model using data sets and examples on issues such as house price determinants, educational attainment levels and school performance statistics * Contains a broad discussion of and basic concepts on GWR through to ideas on statistical inference for GWR models * uniquely features accompanying author-written software that allows users to undertake sophisticated and complex forms of GWR within a user-friendly, Windows-based, front-end (see book for details).

Local Variable Selection in Varying-coefficients Regression Models

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Publisher :
ISBN 13 :
Total Pages : 105 pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Local Variable Selection in Varying-coefficients Regression Models by :

Download or read book Local Variable Selection in Varying-coefficients Regression Models written by and published by . This book was released on 2015 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Varying coefficient regression is a flexible technique for modeling data where the coefficients are functions of some effect-modifying parameter, often time or location in a certain domain. Existing methods for variable selection in a varying coefficient context are mostly for global selection over the entire domain. Presented here is a new local adaptive grouped regularization (LAGR) method for local variable selection in spatially varying coefficient regression. LAGR selects the covariates that are associated with the response at any point in space, and simultaneously estimates the coefficients of those covariates through a kind of adaptive group Lasso. Oracle properties of the proposed method are established. The finite sample properties of LAGR are assessed in a simulation study and for illustration, the Boston housing price data set is analyzed. After the properties of estimation by the method of LAGR are established, the natural next step for statistical inference for the model parameters. The distribution of LASSO-type estimators (like LAGR) is a complicated mixture of a point mass at zero with a continuous density conditional on the estimate being nonzero. Because the Gaussian approximation is not workable in this case, it is common to use Monte Carlo methods such as the bootstrap to simulate the distribution of the coefficient estimates. A weighted likelihood bootstrap approach is developed for simulating the distribution of coefficients estimated by LAGR. This approach is new and is apparently the first uniformly-convergent bootstrap for the so-called "paired" nonparametric regression, where the locations, covariates, and response are iid samples from a joint distribution. The methods proposed in this dissertation are kernel smoothing methods for nonparametric regression. Any kernel smoothing method includes a bandwidth parameter, which we estimate by minimizing the Akaike Information Criterion (AIC). Then estimation and inference proceed conditional on the selected bandwidth. An empirical Bayes approach to marginal inference for the coefficients is proposed. The weighted likelihood bootstrap is used to simulate the distribution of bandwidth. The simulated distribution is interpreted as the posterior hyperprior in a mixture distribution for the coefficient estimates.

Predictions in Time Series Using Regression Models

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Publisher : Scientific e-Resources
ISBN 13 : 1839473290
Total Pages : 300 pages
Book Rating : 4.8/5 (394 download)

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Book Synopsis Predictions in Time Series Using Regression Models by : Cory Terrell

Download or read book Predictions in Time Series Using Regression Models written by Cory Terrell and published by Scientific e-Resources. This book was released on 2019-09-02 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression methods have been a necessary piece of time arrangement investigation for over a century. As of late, new advancements have made real walks in such territories as non-constant information where a direct model isn't fitting. This book acquaints the peruser with fresher improvements and more assorted regression models and methods for time arrangement examination. Open to any individual who knows about the fundamental present day ideas of factual deduction, Regression Models for Time Series Analysis gives a truly necessary examination of late measurable advancements. Essential among them is the imperative class of models known as summed up straight models (GLM) which gives, under a few conditions, a bound together regression hypothesis reasonable for constant, all out, and check information. The creators stretch out GLM methodology deliberately to time arrangement where the essential and covariate information are both arbitrary and stochastically reliant. They acquaint readers with different regression models created amid the most recent thirty years or somewhere in the vicinity and condense traditional and later outcomes concerning state space models.

Bayesian Inference of State Space Models

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Publisher : Springer Nature
ISBN 13 : 303076124X
Total Pages : 503 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Bayesian Inference of State Space Models by : Kostas Triantafyllopoulos

Download or read book Bayesian Inference of State Space Models written by Kostas Triantafyllopoulos and published by Springer Nature. This book was released on 2021-11-12 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian Inference of State Space Models: Kalman Filtering and Beyond offers a comprehensive introduction to Bayesian estimation and forecasting for state space models. The celebrated Kalman filter, with its numerous extensions, takes centre stage in the book. Univariate and multivariate models, linear Gaussian, non-linear and non-Gaussian models are discussed with applications to signal processing, environmetrics, economics and systems engineering. Over the past years there has been a growing literature on Bayesian inference of state space models, focusing on multivariate models as well as on non-linear and non-Gaussian models. The availability of time series data in many fields of science and industry on the one hand, and the development of low-cost computational capabilities on the other, have resulted in a wealth of statistical methods aimed at parameter estimation and forecasting. This book brings together many of these methods, presenting an accessible and comprehensive introduction to state space models. A number of data sets from different disciplines are used to illustrate the methods and show how they are applied in practice. The R package BTSA, created for the book, includes many of the algorithms and examples presented. The book is essentially self-contained and includes a chapter summarising the prerequisites in undergraduate linear algebra, probability and statistics. An up-to-date and complete account of state space methods, illustrated by real-life data sets and R code, this textbook will appeal to a wide range of students and scientists, notably in the disciplines of statistics, systems engineering, signal processing, data science, finance and econometrics. With numerous exercises in each chapter, and prerequisite knowledge conveniently recalled, it is suitable for upper undergraduate and graduate courses.

Robust Estimation of Linear State Space Models

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Robust Estimation of Linear State Space Models by : Ruben Crevits

Download or read book Robust Estimation of Linear State Space Models written by Ruben Crevits and published by . This book was released on 2017 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The model parameters of linear state space models are typically estimated with maximum likelihood estimation, where the likelihood is computed analytically with the Kalman filter. Outliers can deteriorate the estimation. Therefore we propose an alternative estimation method. The Kalman filter is replaced by a robust version and the maximum likelihood estimator is robustified as well. The performance of the robust estimator is investigated in a simulation study. Robust estimation of time varying parameter regression models is considered as a special case. Finally, the methodology is applied to real data.

Spatial Regression Analysis Using Eigenvector Spatial Filtering

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Publisher : Academic Press
ISBN 13 : 0128156929
Total Pages : 286 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Spatial Regression Analysis Using Eigenvector Spatial Filtering by : Daniel Griffith

Download or read book Spatial Regression Analysis Using Eigenvector Spatial Filtering written by Daniel Griffith and published by Academic Press. This book was released on 2019-09-14 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial Regression Analysis Using Eigenvector Spatial Filtering provides theoretical foundations and guides practical implementation of the Moran eigenvector spatial filtering (MESF) technique. MESF is a novel and powerful spatial statistical methodology that allows spatial scientists to account for spatial autocorrelation in their georeferenced data analyses. Its appeal is in its simplicity, yet its implementation drawbacks include serious complexities associated with constructing an eigenvector spatial filter. This book discusses MESF specifications for various intermediate-level topics, including spatially varying coefficients models, (non) linear mixed models, local spatial autocorrelation, space-time models, and spatial interaction models. Spatial Regression Analysis Using Eigenvector Spatial Filtering is accompanied by sample R codes and a Windows application with illustrative datasets so that readers can replicate the examples in the book and apply the methodology to their own application projects. It also includes a Foreword by Pierre Legendre. Reviews the uses of ESF across linear regression, generalized linear regression, spatial autocorrelation measurement, and spatially varying coefficient models Includes computer code and template datasets for further modeling Provides comprehensive coverage of related concepts in spatial data analysis and spatial statistics

Spatial and Spatio-temporal Bayesian Models with R - INLA

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Publisher : John Wiley & Sons
ISBN 13 : 1118950194
Total Pages : 322 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Spatial and Spatio-temporal Bayesian Models with R - INLA by : Marta Blangiardo

Download or read book Spatial and Spatio-temporal Bayesian Models with R - INLA written by Marta Blangiardo and published by John Wiley & Sons. This book was released on 2015-04-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial and Spatio-Temporal Bayesian Models with R-INLA provides a much needed, practically oriented & innovative presentation of the combination of Bayesian methodology and spatial statistics. The authors combine an introduction to Bayesian theory and methodology with a focus on the spatial and spatio-temporal models used within the Bayesian framework and a series of practical examples which allow the reader to link the statistical theory presented to real data problems. The numerous examples from the fields of epidemiology, biostatistics and social science all are coded in the R package R-INLA, which has proven to be a valid alternative to the commonly used Markov Chain Monte Carlo simulations

Statistical Models and Methods for Financial Markets

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Publisher : Springer Science & Business Media
ISBN 13 : 0387778268
Total Pages : 363 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Statistical Models and Methods for Financial Markets by : Tze Leung Lai

Download or read book Statistical Models and Methods for Financial Markets written by Tze Leung Lai and published by Springer Science & Business Media. This book was released on 2008-07-25 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of writing this bookarosein 2000when the ?rst author wasassigned to teach the required course STATS 240 (Statistical Methods in Finance) in the new M. S. program in ?nancial mathematics at Stanford, which is an interdisciplinary program that aims to provide a master’s-level education in applied mathematics, statistics, computing, ?nance, and economics. Students in the programhad di?erent backgroundsin statistics. Some had only taken a basic course in statistical inference, while others had taken a broad spectrum of M. S. - and Ph. D. -level statistics courses. On the other hand, all of them had already taken required core courses in investment theory and derivative pricing, and STATS 240 was supposed to link the theory and pricing formulas to real-world data and pricing or investment strategies. Besides students in theprogram,thecoursealso attractedmanystudentsfromother departments in the university, further increasing the heterogeneity of students, as many of them had a strong background in mathematical and statistical modeling from the mathematical, physical, and engineering sciences but no previous experience in ?nance. To address the diversity in background but common strong interest in the subject and in a potential career as a “quant” in the ?nancialindustry,thecoursematerialwascarefullychosennotonlytopresent basic statistical methods of importance to quantitative ?nance but also to summarize domain knowledge in ?nance and show how it can be combined with statistical modeling in ?nancial analysis and decision making. The course material evolved over the years, especially after the second author helped as the head TA during the years 2004 and 2005.

Spatial Regression Models

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Publisher : SAGE
ISBN 13 : 1412954150
Total Pages : 113 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Spatial Regression Models by : Michael Don Ward

Download or read book Spatial Regression Models written by Michael Don Ward and published by SAGE. This book was released on 2008-02-29 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no prior knowledge this book is geared toward social science readers, unlike other volumes on this topic. The text illustrates concepts using well known international, comparative, and national examples of spatial regression analysis. Each example is presented alongside relevant data and code, which is also available on a Web site maintained by the authors.

Studies on Semi-parametric Varying Coefficient Models

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Studies on Semi-parametric Varying Coefficient Models by : Liying Jin

Download or read book Studies on Semi-parametric Varying Coefficient Models written by Liying Jin and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many economic and geographic studies, we may have spatially referenced covariates providing information about the spatial distribution that impacts the response variable. The spatial varying coefficient model (SVCM) has been an effective tool for exploring such information by modeling spatial nonstationarity. In this thesis, we study the SVCM and address several challenges in estimating the varying coefficient functions over complex domains in different scenarios. In chapter 2, we consider a new class of semi-parametric regression models called the generalized partially linear spatially varying coefficient model (GPLSVCM). We propose using the bivariate penalized spline over triangulation (BPST) method to approximate the coefficient functions and employing a quasi-likelihood maximization to obtain model estimators. The proposed method can handle data distributed over arbitrarily shaped domains with complex boundaries and interior holes. We prove the consistency of the estimators under some regularity conditions. Additionally, we propose a model selection procedure via BIC that can accurately identify the covariates with constant and varying effects. In chapter 3, we introduce a new R package GPLSVCM, which integrates model structure identification, variable selection, model fitting, and predictive inference for GPLSVCMs. To account for high-dimensional data, we propose a doubly penalized approach for simultaneous variable selection and model structure identification. The proposed method can efficiently remove irrelevant covariates while detecting constant and varying components of the coefficients. To quantify the uncertainty in a single prediction, we propose three resampling-based methods for constructing prediction intervals that attain target coverage probability. Compared with existing R packages for SVCMs, GPLSVCM is more flexible and computationally cheaper, so it can be widely applied in spatial data analysis over any arbitrarily shaped domain. In chapter 4, we develop a new volatility model by allowing spatially varying coefficients in spatial GARCH models. This model captures volatility behaviors over space and investigates the relationship between some explanatory variables and the volatility at each location. A two-stage quasi-likelihood maximization via BPST is developed to estimate the model over a complicated domain. For each chapter, we conduct both simulation studies and real-data applications to demonstrate the performance of our approach.

Bayesian Hierarchical Models

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Publisher : CRC Press
ISBN 13 : 0429532903
Total Pages : 506 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Bayesian Hierarchical Models by : Peter D. Congdon

Download or read book Bayesian Hierarchical Models written by Peter D. Congdon and published by CRC Press. This book was released on 2019-09-16 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intermediate-level treatment of Bayesian hierarchical models and their applications, this book demonstrates the advantages of a Bayesian approach to data sets involving inferences for collections of related units or variables, and in methods where parameters can be treated as random collections. Through illustrative data analysis and attention to statistical computing, this book facilitates practical implementation of Bayesian hierarchical methods. The new edition is a revision of the book Applied Bayesian Hierarchical Methods. It maintains a focus on applied modelling and data analysis, but now using entirely R-based Bayesian computing options. It has been updated with a new chapter on regression for causal effects, and one on computing options and strategies. This latter chapter is particularly important, due to recent advances in Bayesian computing and estimation, including the development of rjags and rstan. It also features updates throughout with new examples. The examples exploit and illustrate the broader advantages of the R computing environment, while allowing readers to explore alternative likelihood assumptions, regression structures, and assumptions on prior densities. Features: Provides a comprehensive and accessible overview of applied Bayesian hierarchical modelling Includes many real data examples to illustrate different modelling topics R code (based on rjags, jagsUI, R2OpenBUGS, and rstan) is integrated into the book, emphasizing implementation Software options and coding principles are introduced in new chapter on computing Programs and data sets available on the book’s website