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Titlebook: A First Course in Bayesian Statistical Methods; Peter D. Hoff Textbook 2009 Springer-Verlag New York 2009 Markov chain.Statistical Computi

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期刊全称A First Course in Bayesian Statistical Methods
影响因子2023Peter D. Hoff
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发行地址Provides a nice introduction to Bayesian statistics with sufficient grounding in the Bayesian framework without being distracted by more esoteric points.The material is well-organized, weaving applica
学科分类Springer Texts in Statistics
图书封面Titlebook: A First Course in Bayesian Statistical Methods;  Peter D. Hoff Textbook 2009 Springer-Verlag New York 2009 Markov chain.Statistical Computi
影响因子.This book provides a compact self-contained introduction to the theory and application of Bayesian statistical methods. The book is accessible to readers having a basic familiarity with probability, yet allows more advanced readers to quickly grasp the principles underlying Bayesian theory and methods. The examples and computer code allow the reader to understand and implement basic Bayesian data analyses using standard statistical models and to extend the standard models to specialized data analysis situations. The book begins with fundamental notions such as probability, exchangeability and Bayes‘ rule, and ends with modern topics such as variable selection in regression, generalized linear mixed effects models, and semiparametric copula estimation. Numerous examples from the social, biological and physical sciences show how to implement these methodologies in practice...Monte Carlo summaries of posterior distributions play an important role in Bayesian data analysis. The open-source R statistical computing environment provides sufficient functionality to make Monte Carlo estimation very easy for a large number of statistical models and example R-code is provided throughout the
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https://doi.org/10.1007/978-94-007-7557-2e central limit theorem, and another being that the normal model is a simple model with separate parameters for the population mean and variance – two quantities that are often of primary interest. In this chapter we discuss some of the properties of the normal distribution, and show how to make pos
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AQ Mapping Through Low-Cost Sensor Networks,at it is easy to sample from the full conditional distribution of each parameter. In such cases, posterior approximation can be made with the Gibbs sampler, an iterative algorithm that constructs a dependent sequence of parameter values whose distribution converges to the target joint posterior dist
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Amina Khatun,Trisha Barman,Pulak Kumar Patraaverage and their difference. This type of parameterization is extended to the multigroup case, where the average group mean and the differences across group means are described by a normal sampling model. This model, together with a normal sampling model for variability among units within a group,
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J. Kukkonen,L. Bozó,F. Palmgren,R. S. Sokhition and data description. In this section we give a very brief introduction to the linear regression model and the corresponding Bayesian approach to estimation. Additionally, we discuss the relationship between Bayesian and ordinary least squares regression estimates.
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C. Borrego,M. Schatzmann,S. Galmarinisampler. In situations where a conjugate prior distribution is unavailable or undesirable, the full conditional distributions of the parameters do not have a standard form and the Gibbs sampler cannot be easily used. In this section we present the Metropolis-Hastings algorithm as a generic method of
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