TY - JOUR AU - Borsch-Supan,Axel AU - Hajivassiliou,Vassilis AU - Kotlikoff,Laurence J. AU - Morris,John N. TI - Health, Children, and Elderly Living Arrangements: A Multiperiod-Multinomial Probit Model with Unobserved Heterogeneity and Autocorrelated Errors JF - National Bureau of Economic Research Working Paper Series VL - No. 3343 PY - 1990 Y2 - April 1990 UR - http://www.nber.org/papers/w3343 L1 - http://www.nber.org/papers/w3343.pdf N1 - Author contact info: Axel H. Boersch-Supan Munich Center for the Economics of Aging Max Planck Institute for Social Law and Social Pol Amalienstrasse 33 80779 Munich GERMANY Tel: +49 (89) 3860-2355 Fax: 49 (89) 3860-2390 E-Mail: axel@boersch-supan.de Vassilis Hajivassiliou Laurence J. Kotlikoff Department of Economics Boston University 270 Bay State Road Boston, MA 02215 Tel: 617/353-4002 Fax: 617/353-4001 E-Mail: kotlikoff@gmail.com John N. Morris M1 - published as Axel Borsch-Supan, Vassilis Hajivassiliou, Laurence J. Kotlikoff. "Health, Children, and Elderly Living Arrangements: A Multiperiod-Multinomial Probit Model with Unobserved Heterogeneity and Autocorrelated Errors," in David A. Wise, editor, "Topics in the Economics of Aging" University of Chicago Press (1992) AB - 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. ER -