ABSTRACT

Collecting Bayesian material scattered throughout the literature, Current Trends in Bayesian Methodology with Applications examines the latest methodological and applied aspects of Bayesian statistics. The book covers biostatistics, econometrics, reliability and risk analysis, spatial statistics, image analysis, shape analysis, Bayesian computation, clustering, uncertainty assessment, high-energy astrophysics, neural networking, fuzzy information, objective Bayesian methodologies, empirical Bayes methods, small area estimation, and many more topics. Each chapter is self-contained and focuses on a Bayesian methodology. It gives an overview of the area, presents theoretical insights, and emphasizes applications through motivating examples. This book reflects the diversity of Bayesian analysis, from novel Bayesian methodology, such as nonignorable response and factor analysis, to state-of-the-art applications in economics, astrophysics, biomedicine, oceanography, and other areas. It guides readers in using Bayesian techniques for a range of statistical analyses.

chapter 2|22 pages

Forecasting Indian Macroeconomic Variables Using Medium-Scale VAR Models

ByGoodness C. Aye, Pami Dua, Rangan Gupta

chapter 3|20 pages

Comparing Proportions: A Modern Solution to a Classical Problem

ByJosé M. Bernardo

chapter 4|24 pages

Hamiltonian Monte Carlo for Hierarchical Models

ByMichael Betancourt, Mark Girolami

chapter 5|20 pages

On Bayesian Spatio-Temporal Modeling of Oceanographic Climate Characteristics

ByMadhuchhanda Bhattacharjee, Snigdhansu Chatterjee

chapter 6|12 pages

Sequential Bayesian Inference for Dynamic State Space Model Parameters

ByArnab Bhattacharya, Simon Wilson

chapter 7|22 pages

Bayesian Active Contours with Affine-Invariant Elastic Shape Prior

ByPrior Darshan Bryner, Anuj Srivastava

chapter 8|24 pages

Bayesian Semiparametric Longitudinal Data Modeling Using NI Densities

ByLuis M. Castro, Victor H. Lachos, Diana M. Galvis, Dipankar Bandyopadhyay

chapter 11|20 pages

In Search of Optimal Objective Priors for Model Selection and Estimation

ByJyotishka Datta, Jayanta K. Ghosh

chapter 21|22 pages

Stochastic Volatility and Realized Stochastic Volatility Models

ByYasuhiro Omori, Toshiaki Watanabe

chapter 23|26 pages

A Flexible Class of Reduced Rank Spatial Models for Large Non-Gaussian Dataset

ByRajib Paul, Casey M. Jelsema, Kwok Wai Lau

chapter 24|18 pages

A Bayesian Reweighting Technique for Small Area Estimation

ByAzizur Rahman, Satyanshu K. Upadhyay

chapter 25|16 pages

Empirical Bayes Methods for the Transformed Gaussian Random Field Model with Additive Measurement Errors

ByVivekananda Roy, Evangelos Evangelou, Zhengyuan Zhu

chapter 26|26 pages

Mixture Kalman Filters and Beyond

chapter 28|24 pages

A Bayesian Analysis of the Solar Cycle Using Multiple Proxy Variables

ByDavid C. Stenning, David A. van Dyk, Yaming Yu, Vinay Kashyap