Bayesian statistics and marketing /
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Author / Creator: | Rossi, Peter E. (Peter Eric), 1955- |
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Imprint: | Chichester, West Sussex, England ; Hoboken, NJ : John Wiley, c2005. |
Description: | x, 348 p. : ill. ; 26 cm. |
Language: | English |
Series: | Wiley series in probability and statistics |
Subject: | |
Format: | E-Resource Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5820397 |
Table of Contents:
- 1. Introduction
- 1.1. A Basic Paradigm for Marketing Problems
- 1.2. A Simple Example
- 1.3. Benefits and Costs of the Bayesian Approach
- 1.4. An Overview of Methodological Material and Case Studies
- 1.5. Computing and This Book
- Acknowledgements
- 2. Bayesian Essentials
- 2.0. Essential Concepts from Distribution Theory
- 2.1. The Goal of Inference and Bayes' Theorem
- 2.2. Conditioning and the Likelihood Principle
- 2.3. Prediction and Bayes
- 2.4. Summarizing the Posterior
- 2.5. Decision Theory, Risk, and the Sampling Properties of Bayes Estimators
- 2.6. Identification and Bayesian Inference
- 2.7. Conjugacy, Sufficiency, and Exponential Families
- 2.8. Regression and Multivariate Analysis Examples
- 2.9. Integration and Asymptotic Methods
- 2.10. Importance Sampling
- 2.11. Simulation Primer for Bayesian Problems
- 2.12. Simulation from Posterior of Multivariate Regression Model
- 3. Markov Chain Monte Carlo Methods
- 3.1. Markov Chain Monte Carlo Methods
- 3.2. A Simple Example: Bivariate Normal Gibbs Sampler
- 3.3. Some Markov Chain Theory
- 3.4. Gibbs Sampler
- 3.5. Gibbs Sampler for the Seemingly Unrelated Regression Model
- 3.6. Conditional Distributions and Directed Graphs
- 3.7. Hierarchical Linear Models
- 3.8. Data Augmentation and a Probit Example
- 3.9. Mixtures of Normals
- 3.10. Metropolis Algorithms
- 3.11. Metropolis Algorithms Illustrated with the Multinomial Logit Model
- 3.12. Hybrid Markov Chain Monte Carlo Methods
- 3.13. Diagnostics
- 4. Unit-Level Models and Discrete Demand
- 4.1. Latent Variable Models
- 4.2. Multinomial Probit Model
- 4.3. Multivariate Probit Model
- 4.4. Demand Theory and Models Involving Discrete Choice
- 5. Hierarchical Models for Heterogeneous Units
- 5.1. Heterogeneity and Priors
- 5.2. Hierarchical Models
- 5.3. Inference for Hierarchical Models
- 5.4. A Hierarchical Multinomial Logit Example
- 5.5. Using Mixtures of Normals
- 5.6. Further Elaborations of the Normal Model of Heterogeneity
- 5.7. Diagnostic Checks of the First-Stage Prior
- 5.8. Findings and Influence on Marketing Practice
- 6. Model Choice and Decision Theory
- 6.1. Model Selection
- 6.2. Bayes Factors in the Conjugate Setting
- 6.3. Asymptotic Methods for Computing Bayes Factors
- 6.4. Computing Bayes Factors Using Importance Sampling
- 6.5. Bayes Factors Using MCMC Draws
- 6.6. Bridge Sampling Methods
- 6.7. Posterior Model Probabilities with Unidentified Parameters
- 6.8. Chib's Method
- 6.9. An Example of Bayes Factor Computation: Diagonal Multinomial Probit Models
- 6.10. Marketing Decisions and Bayesian Decision Theory
- 6.11. An Example of Bayesian Decision Theory: Valuing Household Purchase Information
- 7. Simultaneity
- 7.1. A Bayesian Approach to Instrumental Variables
- 7.2. Structural Models and Endogeneity/Simultaneity
- 7.3. Nonrandom Marketing Mix Variables
- Case Study 1: A Choice Model for Packaged Goods: Dealing with Discrete Quantities and Quantity Discounts
- Background
- Model
- Data
- Results
- Discussion
- R Implementation
- Case Study 2: Modeling Interdependent Consumer Preferences
- Background
- Model
- Data
- Results
- Discussion
- R Implementation
- Case Study 3: Overcoming Scale Usage Heterogeneity
- Background
- Model
- Priors and MCMC Algorithm
- Data
- Discussion
- R Implementation
- Case Study 4: A Choice Model with Conjunctive Screening Rules
- Background
- Model
- Data
- Results
- Discussion
- R Implementation
- Case Study 5: Modeling Consumer Demand for Variety
- Background
- Model
- Data
- Results
- Discussion
- R Implementation
- Appendix A. An Introduction to Hierarchical Bayes Modeling in R
- A.1. Setting Up the R Environment