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- Fundamentals
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1. Bayesian essentials and bayesian regression
- Prof. Peter Rossi
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2. Introduction to MCMC methods and the Gibbs sampler
- Prof. Peter Rossi
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3. Hierarchical models, conditional independence and data augmentation
- Prof. Greg M. Allenby
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4. Metropolis algorithms, logit and quantile regression estimation
- Prof. Greg M. Allenby
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5. Unit-level models and discrete demand
- Prof. Greg M. Allenby
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6. Heterogeneity
- Prof. Greg M. Allenby
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7. Model choice and decision theory
- Prof. Peter Rossi
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8. Bayesian instrumental variables and simultaneity
- Prof. Peter Rossi
- Applications
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9. The value of HB in conjoint/choice analysis
- Mr. Bryan K. Orme
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10. The SoV Probit
- Dr. Jeff Brazell
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12. Bayesian modeling of social network data
- Prof. Asim Ansari
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13. Joint choice decisions
- Prof. Neeraj Arora
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14. Estimating an item's category role
- Dr. Peter Boatwright
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15. Bayesian stochastic dynamic models for internet auctions
- Prof. Eric T. Bradlow
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16. Hierarchical effects of advertising
- Prof. Sandeep R. Chandukala
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18. A Bayesian approach to attribute based consideration sets
- Prof. Timothy J. Gilbride
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19. Variety: models of multiple-discreteness
- Prof. Jaehwan Kim
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20. Models for upper levels of a hierarchy
- Dr. Qing Liu
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21. Making better pricing decisions with informative priors
- Dr. Alan L. Montgomery
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22. Marketing mix modeling
- Prof. Thomas Otter
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23. Reporting bias in survey data
- Dr. Sha Yang
Printable Handouts
Navigable Slide Index
- Introduction
- Review of Markov chains
- Transition matrix
- Stationary distribution (1)
- Stationary distribution (2)
- Time reversible chain (1)
- Time reversible chain (2)
- Stationary and time reversibility
- Example
- Principle number 1
- Metropolis methods
- Discrete case: Metropolis-Hastings algorithm (1)
- Discrete case: Metropolis-Hastings algorithm (2)
- Metropolis-Hastings algorithm - why do we repeat
- Time reversible with respect to pie
- Metropolis-Hastings algorithm example
- Continuous Metropolis-Hastings
- Principle number 2
- Independence chain
- Random walk (rw) chains
- Independence vs. rw chains
- Choosing a step size for the rw chain (1)
- Relative numerical efficiency (1)
- Relative numerical efficiency (2)
- Choosing a step size for the rw chain (2)
- The Gibbs sampler (1)
- The Gibbs sampler (2)
- Principle number 3
- Logit model
- Logit model-Hessian
- Logit model MCMC algorithms
- Scaling rw Metropolis
- Comparison of indep / rw Metropolis
- rmnlIndepMetrop (1)
- rmnlIndepMetrop (2)
- Time series of all the draws of beta
- Quantile regression
- Asymmetric Laplace distribution
- Bayesian quantile regression
- Quantile R code
- Summary
Topics Covered
- Review of Markov chains
- Stationary distribution
- Time reversible chains
- Metropolis methods
- Discrete case: Metropolis-Hastings algorithm
- Independence chains
- Random walk chains
- Relative numerical efficiency
- The Gibbs sampler
- Logit model
- Scaling rw metropolis
- Quantile regression
- Asymmetric Laplace distribution
Links
Series:
Categories:
Talk Citation
Allenby, G.M. (2010, January 27). Metropolis algorithms, logit and quantile regression estimation [Video file]. In The Business & Management Collection, Henry Stewart Talks. Retrieved April 3, 2025, from https://doi.org/10.69645/MEAH2474.Export Citation (RIS)
Publication History
- Published on January 27, 2010
Metropolis algorithms, logit and quantile regression estimation
Published on January 27, 2010
61 min