Volume 31 - Article 30 | Pages 913–940  

An empirical analysis of the importance of controlling for unobserved heterogeneity when estimating the income-mortality gradient

By Adriaan Kalwij

References

Aalen, O.O. (1994). Effects of frailty in survival analysis. Statistical Methods in Medical Research 3(3): 227-243.

Weblink:
Download reference:

Abbring, J.H. and van Den Berg, G.J. (2007). The unobserved heterogeneity distribution in duration analysis. Biometrika 94(1): 87-99.

Weblink:
Download reference:

Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control 19(6): 716-723.

Weblink:
Download reference:

Baker, M. and Melino, A. (2000). Duration dependence and nonparametric heterogeneity: A Monte Carlo study. Journal of Econometrics 96(2): 357-393.

Weblink:
Download reference:

Barker, D.J.P. (1995). Fetal origins of coronary heart disease. British Medical Journal 311(6998): 171-174.

Weblink:
Download reference:

Belloni, M., Alessie, R.J.M., Kalwij, A.S., and Marinacci, C. (2013). Lifetime income and old age mortality risk in Italy over two decades. Demographic Research 29(45): 1261-1298 (10.4054/DemRes.2013.29.45).

Bissonnette, L. (2012). Essays on subjective expectations and stated preferences. [Ph.D. Thesis]. Tilburg: Tilburg University.

Download reference:

Blakely, T., Kawachi, I., Atkinson, J., and Fawcett, J. (2004). Income and mortality: the shape of the association and confounding New Zealand Census-Mortality Study, 1981–1999. International Journal of Epidemiology 33(4): 874-883.

Weblink:
Download reference:

Bretagnolle, J. and Huber-Carol, C. (1988). Effects of omitting covariates in Cox's model for survival data. Scandinavian Journal of Statistics 15(2): 125-138.

Download reference:

Brown, J.R. (2000). Differential mortality and the value of individual account retirement annuities. Cambridge, MA: National Bureau of Economic Research (NBER Working Paper No. 7560).

Download reference:

CBS Centraal Bureau voor de Statistiek (2012). Documentatierapport Doodsoorzaken (DO). Centrum voor Beleidsstatistiek, Voorburg.

Download reference:

CBS Centraal Bureau voor de Statistiek (2012). Documentatierapport Inkomenspanel onderzoek (IPO). Centrum voor Beleidsstatistiek, Voorburg.

Download reference:

Chamberlain, G. (1985). Heterogeneity, Omitted Variable Bias, and Duration Dependence. In: Heckman, J.J. and Singer, B.S. (eds.). Longitudinal Analysis of Labor Market Data. Cambridge: Cambridge University Press: 3-38.

Weblink:
Download reference:

Congdon, P. (1994). Analysing Mortality in London: Life-Tables with Frailty. Journal of the Royal Statistical Society. Series D (The Statistician) 43(2): 277-308.

Weblink:
Download reference:

Cox, D.R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society, Series B 34(2): 187-220.

Download reference:

D'Addio, A.C. and Rosholm, M. (2002). Left-censoring in duration data: Theory and applications. Aarhus: University of Aarhus, Denmark (Working Paper No. 2002-5).

Download reference:

Duleep, H.O. (1986). Measuring the Effect of Income on Adult Mortality Using Longitudinal Administrative Record Data. The Journal of Human Resources 21(2): 238-251.

Weblink:
Download reference:

Elbers, C. and Ridder, G. (1982). True and spurious duration dependence: The identifiability of the proportional hazard model. Review of Economic Studies 49(3): 403-409.

Download reference:

Flores, M. and Kalwij, A.S. (2014). The associations between early life circumstances and later life health and employment in Europe. Empirical Economics : 1-32.

Weblink:
Download reference:

Frijters, P., Haisken-DeNew, J.P., and Shields, M.A. (2011). The Increasingly Mixed Proportional Hazard Model: An Application to Socioeconomic Status, Health Shocks, and Mortality. Journal of Business & Economic Statistics 29(2): 271-281.

Weblink:
Download reference:

Gaudecker, von H.M. and Scholz, R.D. (2007). Differential mortality by lifetime earnings in Germany. Demographic Research 17(4): 83-108.

Weblink:
Download reference:

Gompertz, B. (1825). On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies. Philosophical Transactions of the Royal Society of London 115: 513-583.

Weblink:
Download reference:

Goto, F. (1996). Achieving Semiparametric Efficiency Bounds in Left-Censored Duration Models. Econometrica 64(2): 439-442.

Weblink:
Download reference:

Heckman, J.J. and Singer, B.S. (1984). A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data. Econometrica 52(2): 271-320.

Weblink:
Download reference:

Heckman, J.J. and Singer, B.S. (1982). Population Heterogeneity in Demographic Models. In: Land, K.C. and Rogers, A. (eds.). Multidimensional Mathematical Demography. New York: Academic Press: 567-599.

Weblink:
Download reference:

Horowitz, J.L. (1999). Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity. Econometrica 67(5): 1001-1028.

Weblink:
Download reference:

Hougaard, P. (1984). Life table methods for heterogeneous populations: Distributions describing the heterogeneity. Biometrika 71(1): 75-83.

Weblink:
Download reference:

Huisman, M., Kunst, A.E., Bopp, M., Borgan, J.-K., Borrell, C., Costa, G., Deboosere, P., Gadeyne, S., Glickman, M., Marinacci, C., Minder, C., Regidor, E., Valkonen, T., and Mackenbach, J.P.. Educational inequalities in cause-specific mortality in middle-aged and older men and women in eight western European populations. The Lancet 365(9458): 493-500.

Weblink:
Download reference:

Human Mortality Database (2008).

Weblink:
Download reference:

Kalwij, A.S., Alessie, R.J.M., and Knoef, M.G. (2013). The Association Between Individual Income and Remaining Life Expectancy at the Age of 65 in the Netherlands. Demography 50(1): 181-206.

Weblink:
Download reference:

Lancaster, T. (1979). Econometric Methods for the Duration of Unemployment. Econometrica 47(4): 939-956.

Weblink:
Download reference:

Lancaster, T. (1990). The econometric analysis of transition data. Cambridge: Cambridge University Press.

Download reference:

Leombruni, R., Richiardi, M., Demaria, M., and Costa, G. (2010). Aspettative di vita, lavori usuranti ed equità del sistema previdenziale. Prime evidenze dal Work Histories Italian Panel. Epidemiologia e Prevenzione 34(4): 150-158.

Download reference:

Lindahl, M. (2005). Estimating the effect of income on health and mortality using lottery prizes as an exogenous source of variation in income. Journal of Human Resources 40(1): 144-168.

Weblink:
Download reference:

Manton, K.G., Stallard, E., and Vaupel, J.W. (1986). Alternative Models for the Heterogeneity of Mortality Risks among the Aged. Journal of the American Statistical Association 81(395): 635-644.

Weblink:
Download reference:

Manton, K.G., Stallard, E., and Vaupel, J.W. (1981). Methods For Comparing The Mortality Experience of Heterogeneous Populations. Demography 18(3): 389-410.

Weblink:
Download reference:

Martikainen, P., Mäkelä, P., Koskinen, S., and Valkonen, T. (2001). Income differences in mortality: a register-based follow-up study of three million men and women. International Journal of Epidemiology 30(6): 1397-1405.

Weblink:
Download reference:

Menchik, P.L. (1993). Economic Status as a Determinant of Mortality Among Black and White Older Men: Does Poverty Kill? Population Studies 47(3): 427-436.

Weblink:
Download reference:

Missov, T.I. and Finkelstein, M. (2011). Admissible mixing distributions for a general class of mixture survival models with known asymptotics. Theoretical Population Biology 80(1): 64-70.

Weblink:
Download reference:

Nelissen, J.H.M. (1999). Mortality Differences Related to Socioeconomic Status and the Progressivity of Old-Age Pensions and Health Insurance: The Netherlands. European Journal of Population / Revue européenne de Démographie 15(1): 77-97.

Weblink:
Download reference:

Newman, J.L. and McCulloch, C.E. (1984). A Hazard Rate Approach to the Timing of Births. Econometrica 52(4): 939-961.

Weblink:
Download reference:

Omariba, D.W.R., Beaujot, R., and Rajulton, F. (2007). Determinants of infant and child mortality in Kenya: an analysis controlling for frailty effects. Population Research and Policy Review 26(3): 299-321.

Weblink:
Download reference:

Osler, M., Prescott, E., Grønbæk, M., Christensen, U., Due, P., and Engholm, G. (2002). Income inequality, individual income, and mortality in Danish adults: analysis of pooled data from two cohort studies. British Medical Journal 324(7328): 13-16.

Download reference:

Ridder, G. (1984). The Distribution of Single-Spell Duration Data. In: Neumann, G.R. and Westergård-Nielsen, N.C. (eds.). Studies in Labor Market Dynamics. Berlin: Springer: 45-73.

Weblink:
Download reference:

Robine, J.-M. (2006). Research Issues on Human Longevity. In: Robine, J.-M., Crimmins, E.M., Horiuchi, S., and Yi, Z. (eds.). Human Longevity, Individual Life Duration, and the Growth of the Oldest-Old Population. Dordrecht: Springer: 7-42.

Weblink:
Download reference:

Schumacher, M., Olschewski, M., and Schmoor, C. (1987). The impact of heterogeneity on the comparison of survival times. Statistics in Medicine 6(7): 773-784.

Weblink:
Download reference:

Shepard, D.S. and Zeckhauser, R.J. (1980). Long-term effects of interventions to improve survival in mixed populations. Journal of Chronic Diseases 33(7): 413-433.

Weblink:
Download reference:

Siermann, C., van Teeffelen, P., and Urlings, L. (2004). Equivalentiefactoren 1995-2000: Methode en belangrijkste uitkomsten. Sociaal-economische Trends 3: 63-66.

Download reference:

Snyder, S.E. and Evans, W.N. (2006). The Effect of Income on Mortality: Evidence from the Social Security Notch. Review of Economics and Statistics 88(3): 482-495.

Weblink:
Download reference:

Turnbull, B.W., Jiang, W., and Clark, L.C. (1997). Regression models for recurrent event data: Parametric random effects models with measurement error. Statistics in Medicine 18: 853-864.

van den Berg, Gerard J., Lindeboom, Maarten, and Portrait, France (2006). Economic Conditions Early in Life and Individual Mortality. American Economic Review 96(1): 290-302.

Weblink:
Download reference:

Vaupel, J.W., Manton, K.G., and Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16(3): 439-454.

Weblink:
Download reference:

Vaupel, J.W. and Yashin, A.I. (1985). Heterogeneity's rules: Some surprising effects of selection on population dynamics. American Statistician 39: 176-185.

Download reference:

Vaupel, J.W. and Yashin, A.I. (2006). Unobserved population heterogeneity. In: Caselli, G., Vallin, J., and Wunsch, G. (eds.). Demography: Analysis and synthesis; a treatise in population studies. Amsterdam: Elsevier: 271-278.

Download reference:

Whitehouse, E.R. and Zaidi, A. (2008). Socio-economic differences in mortality: Implications for pension policies. Paris (OECD Social, Employment and Migration Working Paper No. 71).

Download reference:

Yashin, A.I., Iachine, I.A., and Harris, J.R. (1999). Half of the Variation in Susceptibility to Mortality Is Genetic: Findings from Swedish Twin Survival Data. Behavior Genetics 29(1): 11-19.

Weblink:
Download reference:

Zarulli, V., Marinacci, C., Costa, G., and Caselli, G. (2013). Mortality by education level at late-adult ages in Turin: a survival analysis using frailty models with period and cohort approaches. British Medical Journal Open 3(7): 3:e002841.

Weblink:
Download reference:

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