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

In: Topics in the Economics of Aging

Author

Listed:
  • Axel Borsch-Supan
  • Vassilis Hajivassiliou
  • Laurence J. Kotlikoff

Abstract

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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Suggested Citation

  • Axel Borsch-Supan & Vassilis Hajivassiliou & Laurence J. Kotlikoff, 1992. "Health, Children, and Elderly Living Arrangements: A Multiperiod-Multinomial Probit Model with Unobserved Heterogeneity and Autocorrelated Errors," NBER Chapters, in: Topics in the Economics of Aging, pages 79-108, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberch:7099
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    References listed on IDEAS

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    1. 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.
    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. Borsch-Supan, Axel & Hajivassiliou, Vassilis A., 1993. "Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models," Journal of Econometrics, Elsevier, vol. 58(3), pages 347-368, August.
    4. Borsch-Supan, Axel, 1986. "Household formation, housing prices, and public policy impacts," Journal of Public Economics, Elsevier, vol. 30(2), pages 145-164, July.
    5. David T. Ellwood & Thomas J. Kane, 1990. "The American Way of Aging: An Event History Analysis," NBER Chapters, in: Issues in the Economics of Aging, pages 121-148, National Bureau of Economic Research, Inc.
    6. Vassilis A. Hajivassiliou & Daniel L. McFadden, 1998. "The Method of Simulated Scores for the Estimation of LDV Models," Econometrica, Econometric Society, vol. 66(4), pages 863-896, July.
    7. Laurence J. Kotlikoff & John N. Morris, 1989. "How Much Care Do the Aged Receive from Their Children? A Bimodal Picture of Contact and Assistance," NBER Chapters, in: The Economics of Aging, pages 151-176, National Bureau of Economic Research, Inc.
    8. Langdon, M. G., 1984. "Methods of determining choice probability in utility maximising multiple alternative models," Transportation Research Part B: Methodological, Elsevier, vol. 18(3), pages 209-234, June.
    9. Laurence J. Kotlikoff & John N. Morris, 1990. "Why Don't the Elderly Live with Their Children? A New Look," NBER Chapters, in: Issues in the Economics of Aging, pages 149-172, National Bureau of Economic Research, Inc.
    10. Vassilis A. Hajivassiliou & Daniel McFadden, 1990. "The Method of Simulated Scores for the Estimation of LDV Models with an Application to External Debt Crisis," Cowles Foundation Discussion Papers 967, Cowles Foundation for Research in Economics, Yale University.
    11. David A. Wise, 1990. "Issues in the Economics of Aging," NBER Books, National Bureau of Economic Research, Inc, number wise90-1.
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