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Finite Mixture Distribution, Sequential Likelihood, and the EM Algorithm

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Author Info
Arcidiacono, Peter
Jones, John B.

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Abstract

The use of finite mixture distributions to control for unobserved heterogeneity has become increasingly popular among those estimating dynamic discrete choice models. One of the barriers to using mixture models is that parameters that could previously be estimated in stages must now be estimated jointly: using mixture distributions destroys any additive separability of the log likelihood function. The EM algorithm reintroduces additive separability, however, thus allowing the option of estimating parameters sequentially during each maximization step. We show that, relative to full information maximum likelihood, the EM algorithm with sequential maximization (ESM) can generate large computational savings with little loss of efficiency.

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Paper provided by Duke University, Department of Economics in its series Working Papers with number 00-16.

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Date of creation: 2000
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Handle: RePEc:duk:dukeec:00-16

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General

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  2. Antoni Bosch-Domenech & Jose G. Montalvo & Rosemarie Nagel & Albert Satorra, 2004. "Finite Mixture Analysis of Beauty-Contest Data from Multiple Samples," Levine's Bibliography 122247000000000035, UCLA Department of Economics. [Downloadable!]
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  11. Xun Tang, 2009. "Rationalizable Counterfactual Choice Probabilities in Dynamic Binary Choice Processes," PIER Working Paper Archive 09-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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