New Frontiers in Bayesian Statistics: BAYSM 2021, Online, September 1–3

Organization
Preface
Contents
About the Editors
Approximate Bayesian Algorithm for Tensor Robust Principal Component Analysis
	1 Introduction: Tensor Robust Principal Component Analysis and Its Extensions
	2 Scheme of the Approximate Bayesian Algorithm
	3 Numerical Experiments and Application
	4 Conclusion
	References
Bayesian Quantile Regression  for Big Data Analysis
	1 Introduction
	2 Quantile Regression and Its Likelihood Function
	3 NIG Prior and Posterior Distributions for Bayesian Quantile Regression
		3.1 NIG Expression for Prior Distribution
		3.2 NIG Expression for Posterior Distribution
	4 Big Data Based Algorithms for Bayesian Quantile Regression
		4.1 NIG Multiplication Operator for Posterior Distribution
		4.2 Algorithms for Bayesian Quantile Regression
	5 Real-Data Analysis
	6 Summary and Conclusion
	References
Towards a Bayesian Analysis of Migration Pathways Using Chain Event Graphs of Agent Based Models
	1 Introduction
	2 Agent Based Models of Migration
		2.1 An Illustrative Example of Migrant Behaviour
	3 From ABMs to CEGs
		3.1 Example Continued
	4 Discussion
	References
Power-Expected-Posterior Methodology with Baseline Shrinkage Priors
	1 Introduction
		1.1 Shrinkage Priors
		1.2 Power-Expected-Posterior Priors
	2 PEP-Shrinkage Prior
		2.1 Conditional PEP-Shrinkage Prior
		2.2 Conditional Posterior Under the PEP-Shrinkage Prior
		2.3 Marginal Likelihood Under the PEP-Shrinkage Prior
	3 Simulation Study
	4 Discussion
	References
Bayesian Nonparametric Scalar-on-Image Regression via Potts-Gibbs Random Partition Models
	1 Introduction
	2 Model Specification
		2.1 Scalar-on-Image Regression
		2.2 Random Image Partition Model
		2.3 Shrinkage Prior
	3 Inference
	4 Numerical Studies
	5 Conclusion
	References
Block Structured Graph Priors in Gaussian Graphical Models
	1 Introduction
	2 Block Structured Graph Priors
	3 Sampling Strategy
		3.1 Construction of Proposed Graph G
		3.2 Construction of Proposed Precision Matrix K
	4 Simulation Study
	5 Discussion
	References
A Bayesian Joint Spatio-temporal Model for Multiple Mosquito-Borne Diseases
	1 Introduction
	2 Spatio-temporal Modeling
	3 Motivational Data
		3.1 Study Area
		3.2 Risk Factors
	4 Results
		4.1 Spatial and Temporal Effects
		4.2 Relative Risk
	5 Discussion and Future Work
	References
A Bayesian Nonparametric Test for Cross-Group Differences Relative to a Control
	1 Introduction
	2 A BNP Model for Multivariate Comparisons
		2.1 A Prior for the Hypotheses
		2.2 A Prior for the Group Distributions
	3 Posterior Inference
	4 Monte Carlo Simulation Study
	5 Discussion
	References
Specification of the Base Measure of Nonparametric Priors via Random Means
	1 Introduction
	2 Dirichlet Case
	3 Normalized Stable and Pitman–Yor Cases
	4 Application to Mixture Models
	References
Bayesian Nonparametric Predictive Modeling for Personalized Treatment Selection
	1 Introduction
	2 The Model
		2.1 Priors
		2.2 Similarity Function
		2.3 Posterior Computation
	3 Treatment Selection
	4 Illustrative Example
	5 Conclusion
	References
Bayesian Growth Curve Model for Studying the Intra-abdominal Volume During Pneumoperitoneum for Laparoscopic Surgery
	1 Introduction
	2 Bayesian Growth Curve Model
	3 Posterior Results
	4 Conclusions
	References
Author Index
Author Index