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Health, Children, and Elderly Living Arrangements: A Multiperiod-Multinomial Probit Model with Unobserved Heterogeneity and Autocorrelated Errors

  • Axel Borsch-Supan
  • Vassilis Hajivassiliou
  • Laurence J. Kotlikoff
  • John N. Morris

This paper develops a general multiperiod-multinomial probit model for panel data to estimate the living arrangements of the elderly. The model has the following features: (a) In each period choices do not necessarily obey the assumption of independence of irrelevant alternatives. (b) Unobserved person-specific attributes are treated as random effects. These random effects may also be correlated across alternatives. (c) In addition, unobserved choice-specific utility components may persist over some time, creating an autoregressive and/or heteroscedastic error structure. The model is estimated by simulating the choice probabilities in the likelihood function. We examine several variants of the specification of the correlation structure and investigate the extent the biases created by ignoring intertemporal correlations.

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File URL: http://www.nber.org/papers/w3343.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 3343.

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Date of creation: Apr 1990
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Publication status: published as David Wise, ed. Topics in the Economics of Aging. Chicago: The University of Chicago Press, pp. 79-108, April 1992.
Handle: RePEc:nbr:nberwo:3343
Note: AG
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  1. Vassilis A. Hajivassiliou & Daniel L. McFadden, 1993. "The Method of Simulated Scores for the Estimation of LDV Models," Working Papers _023, Yale University.
  2. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September.
  3. Laurence J. Kotlikoff & John N. Morris, 1987. "How Much Care Do the Aged Receive from Their Children? A Bimodal Picture of Contact and Assistance," NBER Working Papers 2391, National Bureau of Economic Research, Inc.
  4. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
  5. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-57, September.
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