Bayesian estimation of the random coefficients logit from aggregate count data
The random coefficients logit model is a workhorse in marketing and empirical industrial organizations research. When only aggregate data are available, it is customary to calibrate the model based on market shares as data input, even if the data are available in the form of aggregate counts. However, market shares are functionally related to model primitives in the random coefficients model whereas finite aggregate counts are only probabilistic functions of these model primitives. A recent paper by Park and Gupta (Journal of Marketing Research, 46(4), 531–543 2009 ) stresses this distinction but is hamstrung by numerical problems when demonstrating its potential practical importance. We develop Bayesian inference for the likelihood function proposed by Park and Gupta (Journal of Marketing Research, 46(4), 531–543 2009 ), sidestepping the numerical problem encountered by these authors. We show how taking account of the amount of information about shares by modeling counts directly results in improved inference. Copyright Springer Science+Business Media New York 2014
Volume (Year): 12 (2014)
Issue (Month): 1 (March)
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- Jean-Pierre H. Dubé & Jeremy T. Fox & Che-Lin Su, 2009. "Improving the Numerical Performance of BLP Static and Dynamic Discrete Choice Random Coefficients Demand Estimation," NBER Working Papers 14991, National Bureau of Economic Research, Inc.
- Jiang, Renna & Manchanda, Puneet & Rossi, Peter E., 2009. "Bayesian analysis of random coefficient logit models using aggregate data," Journal of Econometrics, Elsevier, vol. 149(2), pages 136-148, April.
- Paulo Albuquerque & Bart J. Bronnenberg, 2012. "Measuring the Impact of Negative Demand Shocks on Car Dealer Networks," Marketing Science, INFORMS, vol. 31(1), pages 4-23, January.
- K. Sudhir & Pradeep K. Chintagunta & Vrinda Kadiyali, 2005. "Time-Varying Competition," Marketing Science, INFORMS, vol. 24(1), pages 96-109, September.
- Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
- Peter Lenk & Wayne DeSarbo, 2000. "Bayesian inference for finite mixtures of generalized linear models with random effects," Psychometrika, Springer;The Psychometric Society, vol. 65(1), pages 93-119, March.
- Cohen, Andrew, 2008. "Package size and price discrimination in the paper towel market," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 502-516, March.
- Bhat, Chandra R., 2001. "Quasi-random maximum simulated likelihood estimation of the mixed multinomial logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 677-693, August.
- Sofia Berto Villas-Boas, 2007.
"Vertical Relationships between Manufacturers and Retailers: Inference with Limited Data,"
Review of Economic Studies,
Oxford University Press, vol. 74(2), pages 625-652.
- Villas-Boas, Sofia B., 2006. "Vertical relationships between manufacturers and retailers: inference with limited data," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt0z26d2v9, Department of Agricultural & Resource Economics, UC Berkeley.
- Villas-Boas, Sofia B., 2007. "Vertical relationships between manufacturers and retailers: inference with limited data," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt6gz1t778, Department of Agricultural & Resource Economics, UC Berkeley.
- David Hensher, 2001. "The valuation of commuter travel time savings for car drivers: evaluating alternative model specifications," Transportation, Springer, vol. 28(2), pages 101-118, May.
- Michelle Sovinsky Goeree, 2008. "Limited Information and Advertising in the U.S. Personal Computer Industry," Econometrica, Econometric Society, vol. 76(5), pages 1017-1074, 09.
- Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
- Andrés Musalem & Eric T. Bradlow & Jagmohan S. Raju, 2009. "Bayesian estimation of random‐coefficients choice models using aggregate data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(3), pages 490-516, 04.
- Oliver J. Rutz & Michael Trusov, 2011. "Zooming In on Paid Search Ads--A Consumer-Level Model Calibrated on Aggregated Data," Marketing Science, INFORMS, vol. 30(5), pages 789-800, September. Full references (including those not matched with items on IDEAS)
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