Volume 21 - Article 5 | Pages 109–134
An analysis of life expectancy and economic production using expectile frontier zones
By Sabine K. Schnabel, Paul Eilers
References
Aigner, D.J., Amemiya, T., and Poirier, D.J. (1976). On the estimation of production frontiers: maximum likelihood estimation of the parameters of a discontinuous density function. International Economic Review 17(2): 377-396.
Becker, G.S., Philipson, T.J., and Soares, R.R. (2003). The quantity and quality of life and the evolution of world inequality. National Bureau of Economic Research (NBER Working Paper Series 9765).
Bengtsson, T. (2006). Perspectives on Mortality forecasting - III. The linear rise in life expectancy: history and prospects. Swedish National Social Insurance Agency (No. 3 in Social Insurance Studies ).
Bloom, D.E. and Canning, D. (2007). Commentary: The Preston Curve 30 years on: still sparking fires. International Journal of Epidemiology 36(3): 498-499.
Charnes, A., Cooper, W.W., and Rhodes, E. (1978). Measuring the efficiency of decision units. European Journal of Operational Research 2(6): 429-444.
Deaton, A. (2002). Commentary: The convoluted story of international studies of inequality and health. International Journal of Epidemiology 31(3): 546-549.
Deaton, A. (2004). Health in an age of globalization. In: Graham, C. and Collins, S.M. (eds.). Brookings Trade Forum 2004 : Globalization, Poverty, and Inequality. Brookings Institution Press: 83-130.
Easterlin, R.A. (1996). Growth triumphant: the twenty-first century in historical perspective. The University of Michigan Press.
Eilers, P.H.C. and Marx, B.D. (1996). Flexible Smoothing with B-splines and Penalties. Statistical Sciences 11(2): 89-121.
Evans, D.B., Tandon, A., Murray, C.J. L., and Lauer, J.A. (2001). Comparative efficiency of national health systems: cross national econometric analysis. British Medical Journal 323: 307-310.
Fiig Jarner, S., Masotti Kryger, E., and Dengsøe, C. (2008). The evolution of death rates and life expectancy in Denmark. Scandinavian Actuarial Journal 2: 147-173.
Geary, R.C. (1958). A note on the comparison of exchange rates and purchasing power between countries. Journal of the Royal Statistical Society: Series A 121(1): 97-99.
Heston, A., Summers, R., and Aten, B. (2002). Penn World Table Version 6.1 (Database) [electronic resource]. Center for International Comparisons at the University of Pennsylvania (CICUP).
Hoaglin, D.C. and Welsch, R.E. (1978). The hat matrix in regression and ANOVA. The American Statistician 32(1): 17-22.
Hollingsworth, B. and Wildman, J. (2003). The efficiency of health production: re-estimating the WHO panel data using parametric and non-parametric approaches to provide additional information. Health Economics 12(6): 493-504.
Human Mortality Database (2007). University of California, Berkeley (USA) ; Max-Planck-Institut für demografische Forschung, Rostock (Germany).
Jones, M.C. (1994). Expectiles and M-quantiles are quantiles. Statistics & Probability Letters 20(2): 149-153.
Khamis, S.H. (1972). A new system of index numbers for national and international purposes. Journal of the Royal Statistical Society: Series A 135(1): 96-121.
Khamis, S.H. (1969). Neoteric index numbers. Calcutta: Indian Statistical Institute (Technical report).
Khamis, S.H. (1970). Properties and conditions for the existence of a new type of index numbers. Sankhya: The Indian Journal of Statistics: Series B 32: 81-98.
Koenker, R. and Bassett, G.W. (1978). Regression Quantiles. Econometrica 46(1): 33-50.
Kokic, P., Chambers, R., Breckling, J., and Beare, S. (1997). A measure of production performance. Journal of Business & Economic Statistics 15(4): 445-451.
Kumbhakar, S.C. and Lovell, C.A.K. (2000). Stochastic Frontier Analysis. Cambridge University Press.
Kunitz, S.J. (2007). Commentary: Samuel Preston's "The changing relation between mortality and level of economic development". International Journal of Epidemiology 36(3): 491-492.
Lee, Y., Nelder, J.A., and Pawitan, Y. (2006). Generalized linear models with random effects - unified analysis via H-likelihood. Chapman & Hall/CRC.
Lynch, J. and Smith, G.D. (2002). Commentary: Income inequality and health: The end of the story? International Journal of Epidemiology 31: 549-551.
Maddison, A. (1995). Monitoring the world economy 1820-1992. OECD Development Center.
Maddison, A. (2001). The world economy: a millennial perspective. OECD Development Center.
Newey, W.K. and Powell, J.L. (1987). Asymmetric least squares estimation and testing. Econometrica 55(4): 819-847.
Oeppen, J. (2006). Life expectancy convergence among nations since 1820: separating the effects of technology and income. In: Bengtsson, T. (ed.). Perspectives on mortality forecasting - III. The linear rise in life expectancy: history and prospects. Försäkringskassan, Swedish Social Insurance Agency: 55-82.
Oeppen, J. and Vaupel, J.W. (2002). Broken Limits to life expectancy. Science 296(5570): 1029-1031.
Pawitan, Y. (2001). In All Likelihood: Statistical modelling and inference using likelihood. Oxford University Press.
Porta, M., Borrell, C., and Copete, J. (2002). Commentary: Theory in the fabric of evidence on the health effects of inequalities in income distribution. International Journal of Epidemiology 31(3): 543-546.
Preston, S.H. (1976). Mortality patterns in national populations. With Special Reference to Recorded Causes of Death. Academic Press.
Preston, S.H. (2007). Response: On "The changing relation between mortality and level of economic development". International Journal of Epidemiology 36: 502-503.
Preston, S.H. (1975). The Changing Relation between Mortality and Level of Economic Development. Population Studies 29(2): 231-248 (Reprinted in the International Journal of Epidemiology Vol. 36, pp.484-490, 2007).
Preston, S.H. (2007). The Changing Relation between Mortality and Level of Economic Development - Reprint. International Journal of Epidemiology 36(3): 484-490.
R Development Core Team (2008). R: A Language and Environment for Statistical Computing [electronic resource]. Vienna, Austria: R Foundation for Statistical Computing.
Riley, J.C. (2007). Commentary: Missed opportunities. International Journal of Epidemiology 36(3): 494-495.
Rodgers, G.B. (1979). Income and inequality as determinants of mortality: an international cross-section analysis. Population Studies 33(2): 343-351.
Rodgers, G.B. (2002). Income and inequality as determinants of mortality: an international cross-section analysis (reprint). International Journal of Epidemiology 31: 533-538.
Schall, R. (1991). Estimation in Generalized Linear Models with random effects. Biometrika 78(4): 719-727.
Schnabel, S.K. and Eilers, P.H.C. (2009). Non-crossing smooth expectile curves. In: Booth, J.G. (ed.). Proceedings of the 24th International Workshop on Statistical Modellung in Ithaca. Cornell University.
Schnabel, S.K. and Eilers, P.H.C. (2009). Optimal Expectile Smoothing. In press at Computational Statistics and Data Analysis .
The Conference Board and Groningen Growth and Development Centre (2006). Total Economy Database [electronic resource].
Wilkinson, R. (2002). Commentary: Liberty, fraternity, equality. International Journal of Epidemiology 31(3): 538-543.
Wilkinson, R. G. (1992). Income distribution and life expectancy. British Medical Journal 304: 165-168.
Wilkinson, R.G. (2007). Commentary: The changing relation between mortality and income. International Journal of Epidemiology 36(3): 492-494.
Wilkinson, R.G. (1990). Income distribution and mortality: a 'natural' experiment. Sociology of Health & Illness 12(4): 391-412.
Yee, T.W. (2008). vgam Family Functions for Quantile Regression [electronic resource].