Zenetti, German (2010): A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach.
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Abstract
In this note on the paper from Jiang, Manchanda & Rossi (2009), I want to discuss a simple alternative estimation method of the multinomial logit model for aggregated data with random coefficients  the socalled BLP model, named for Berry, Levinsohn & Pakes (1995). The estimation is conducted through a Bayesian estimation similar to Jiang et al. (2009). However in contrast to Jiang et al. (2009) I omit the timeintensive contraction mapping for assessing the mean utility in every iteration step of the estimation procedure. The likelihood function is computed through a special case of the control function method (Park & Gupta (2009) and Petrin & Train (2002)). A full random walk MCMC approach is applied, that uses two random walk MCMC chains  one to draw the parameters of the model, and a second one to sampled an explicitly introduced uncorrelated error term. In total, the suggested simple procedure (i) permits the use of the full information from the data set, in contrast to Park & Gupta (2009), (ii) accelerates the Bayesian estimation by omitting the contraction mapping, in contrast to Jiang et al. (2009), and (iii) in contrast to both cited methods, allows the demand shock to be estimated without a distributional assumption, if desired.
Item Type:  MPRA Paper 

Original Title:  A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach 
English Title:  A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach 
Language:  English 
Keywords:  Bayesian estimation, random coefficient logit, aggregate share models 
Subjects:  M  Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M3  Marketing and Advertising C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C11  Bayesian Analysis: General 
Item ID:  27474 
Depositing User:  German Zenetti 
Date Deposited:  17 Dec 2010 14:23 
Last Modified:  15 Jan 2016 16:29 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/27474 
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A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach. (deposited 07 Nov 2010 22:49)

A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach. (deposited 24 Nov 2010 15:15)
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A Note on 'Bayesian analysis of the random coefficient model using aggregate data', an alternative approach. (deposited 24 Nov 2010 15:15)