Skip to main content
SpringerLink
Log in

Mathematical Demography

  • Chapter
Handbook of Population

Part of the book series: Handbooks of Sociology and Social Research ((HSSR))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allison, P. D. 1995. Survival analysis using the SAS system: A practical guide. Cary, N.C.: SAS Institute.

    Google Scholar 

  • Arthur, W. B. 1982. The ergodic theorems of demography: A simple proof. Demography 19:439–445.

    Google Scholar 

  • Bennett, N. G., and S. Horiuchi. 1981. Estimating the completeness of death registration in a closed population. Population Index 42: 207–221.

    Google Scholar 

  • Berkson, J., and R. P. Gage. 1952. Survival curve for cancer patients following treatment. Journal of the American Statistical Association 47: 501–515.

    Google Scholar 

  • Bernadelli, H. 1941. Population waves. Journal of the Burma Research Society 31: 1–18.

    Google Scholar 

  • Bongaarts, J. 1987. The projection of family composition over the life course with family status life tables. In Family demography: Methods and applications. Edited by J. Bongaarts, T. Burch, and K. W. Wachter. Oxford: Clarendon Press.

    Google Scholar 

  • Bongaarts, J. 1999. Completing the demographic transition. Population and Development Review 25: 515–529.

    Google Scholar 

  • Bongaarts, J., and G. Feeney. 1998. On the quantum and tempo of fertility. Population and Development Review 24: 271–291.

    Google Scholar 

  • Booth, H. 1984. Transforming Gompertz’s function for fertility analysis: The development of a standard for the relational Gompertz function. Population Studies, 38: 495–506.

    Google Scholar 

  • Brass, W. 1968. Note on Brass method of fertility estimation. In The demography of tropical Africa. Edited by W. Brass et al., Chapter 3, Appendix A. Princeton, N.J.: Princeton University Press.

    Google Scholar 

  • Brass, W. 1974. Perspectives in population prediction: Illustrated by the statistics of England and Wales. Journal of the Royal Statistical Society, 137, Series A: 532–583.

    Google Scholar 

  • Brass, W. 1975. Methods of estimating fertility and mortality from limited and defective data. Chapel Hill, N.C.: International Program for Population Statistics.

    Google Scholar 

  • Brass, W. 1978. The relational Gompertz model of fertility by age of women (mimeographed). London: London School of Hygiene and Tropical Medicine.

    Google Scholar 

  • Brostrom, G. 1985. Practical aspects on the estimation of the parameters in Coale’s M Model for Marital Fertility. Demography 22: 625–631.

    Google Scholar 

  • Cambois, E., J.-M. Robine, and M. D. Hayward. 2001. Social inequalities in disability-free life expectancy in the French male population. Demography 38: 513–524.

    Google Scholar 

  • Casti, J. L. 1992a. Reality rules. I. Picturing the world in mathematics—the fundamentals. New York: Wiley-Interscience.

    Google Scholar 

  • Casti, J. L. 1992b. Reality rules. II. Picturing the world in mathematics—the frontier. New York: Wiley-Interscience.

    Google Scholar 

  • Chiang, C.-L. 1960. A stochastic study of the life table and its applications. II. Sample variance of the observed expectations of life and other biometric functions. Human Biology 32: 221–238.

    Google Scholar 

  • Chiang, C.-L. 1968. Introduction to stochastic processes in biostatistics. New York: Wiley.

    Google Scholar 

  • Chiang, C.-L. 1972. On constructing current life tables. Journal of the American Statistical Association 67: 538–541.

    Google Scholar 

  • Coale, A. J. 1984. Life table construction on the basis of two enumerations of a closed population. Population Index 50: 193–213.

    Article  Google Scholar 

  • Coale, A. J., and P. Demeny. 1966. Regional model life tables and stable populations. Princeton, N.J.: Princeton University Press.

    Google Scholar 

  • Coale, A. J., and P. Demeny. 1983. Regional model life tables and stable populations, 2d ed. New York: Academic Press.

    Google Scholar 

  • Coale, A. J., and D. R. McNeil. 1972. The distribution by age of the frequency of first marriage in a female cohort. Journal of American Statistical Association, 67: 743–749.

    Google Scholar 

  • Coale, A. J., and T. J. Trussell 1974. Model fertility schedules: Variations in the age structure of childbearing in human populations. Population Index 40: 185–258.

    Article  Google Scholar 

  • Cohen, J. E. 1979. Ergodic theorems in demography. Bulletin (New Series) of the American Mathematical Society 1: 275–295.

    Google Scholar 

  • Coleman, J. S. 1964. Introduction to mathematical sociology. New York: Free Press.

    Google Scholar 

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

    Google Scholar 

  • Crimmins, E. M., Y. Saito, and M. D. Hayward. 1993. Sullivan and multistate methods of estimating active life expectancy: Two methods, two answers. In Calculation of health expectancies: Harmonization, consensus achieved and future perspectives. Edited by J. M. Robine, C. D. Mathers, M. R. Bone, and I. Romieu, 155–160. Montrouge, France: John Libbey Eurotext.

    Google Scholar 

  • Crimmins, E. M., Y. Saito, and D. Ingegneri. 1997. Trends in disability-free life expectancy in the United States. Population and Development Review 23: 555–572.

    Google Scholar 

  • de Moivre, A. 1725. Annuities on lives: Or, the valuation of annuities upon any number of lives; as also, of reversions. London: Millar.

    Google Scholar 

  • Du Pasquier, L. G. 1912. Mathematische Theorie der Invaliditats-Versicherung. Mitt. Ver. Schweitzer. Versicherungsmath. 7:1–7.

    Google Scholar 

  • Elandt-Johnson, R. C., and N. L. Johnson. 1980. Survival models and data analysis. New York: Wiley.

    Google Scholar 

  • Feller, W. 1941. On the integral equation of renewal theory. Annals of Mathematical Statistics 12: 243–267.

    Google Scholar 

  • Finch, C. E., J. W. Vaupel, and K. Kinsella, Eds. 2001. Cells and surveys. Washington, D.C.: National Academies Press.

    Google Scholar 

  • Fix, E., and J. Neymann. 1951. A simple stochastic model of recovery, relapse, death and loss of patients. Human Biology 23: 205–241.

    Google Scholar 

  • Frauenthal, J. C. 1975. Birth trajectory under changing fertility conditions. Demography 12: 447–454.

    Google Scholar 

  • Goldstein, J. R. 2002. Population momentum for gradual demographic transitions: An alternative approach. Demography 39:65–73.

    Google Scholar 

  • Goldstein, J. R., and G. Stecklov. 2002. Long-range population projections made simple. Population and Development Review 28: 121–141.

    Article  Google Scholar 

  • Greville, T. N. E. 1943. Short methods of constructing abridged life tables. Record of the American Institute of Actuaries 32 (Part I): 29–42.

    Google Scholar 

  • Hayward, M. D., and W. R. Grady. 1990. Work and retirement among a cohort of older men in the United States. Demography 27: 337–356.

    Google Scholar 

  • Heigl, A. 2001. Demographic fact book. http://www.hypovereinsbank.de/media/pdf/rese_chan_defabo_Welt.pdf.

    Google Scholar 

  • Hoem, J. M., and M. S. Fong. 1976. A Markov chain model of working life tables. Working Paper No. 2. Copenhagew: Laboratory of Actuarial Mathematics, University of Copenhagen, Denmark.

    Google Scholar 

  • Hoem, J. M., and U. Funck-Jensen. 1982. Multistate life table methodology: A probabilist critique. In Multidimensional mathematical demography. Edited by K. C. Land and A. Rogers. New York: Academic Press.

    Google Scholar 

  • Hoem, J. M., D. Madsen, J. L. Nielsen, E.-M. Ohlsen, H. O. Hansen, and B. Rennermalm. 1981. Experiments in modelling recent Danish fertility curves. Demography 18: 231–244.

    Google Scholar 

  • Hosmer, D. W., and S. Lemeshow. 1999. Applied survival analysis: Regression modeling of time to event data. New York: Wiley.

    Google Scholar 

  • Hullen, G. 2000. Projections of living arrangement, household and family structures using ProFamy. Warschau, Deutsch-polnisch-ungarisches Demographentreffen, October 2000.

    Google Scholar 

  • Hullen, G. 2001. New macrosimulations of living arrangements and households in Germany. Paper presented at Population Association of America, 2001 Annual Meeting, March 2001, pp. 7–31.

    Google Scholar 

  • Hullen, G. 2003. Living arrangements and households: Methods and results of demographic projection. A book (reader) published by the German Federal Institute for Population Research (BIB), with Foreword by Charlotte Hohn, Director of BIB. http://www.gert-hullen.privat.t-online.de/manuskripte/materialien_hu_29072003.pdf.

    Google Scholar 

  • Ibrahim, J. G., M.-H. Chen, and D. Sinha. 2001. Bayesian survival analysis. New York: Springer-Verlag.

    Google Scholar 

  • Jiang, L., and A. Kuijsten. 1999a. Effects of changing households on environment—Case studies in two regions of China. Paper presented at workshop Population and environment: Modeling and simulating this complex interaction. Organized by Max Planck Institute for Demographic Research at Rostock, Germany, August 12–13, 1999.

    Google Scholar 

  • Jiang, L., and A. Kuijsten. 1999b. Household projections for two regions of China. Paper presented at the European Population Conference, The Hague, The Netherlands, August 30–September 3, 1999.

    Google Scholar 

  • Jordan, C. W., Jr. 1975. Life contingencies, 2d ed. Chicago: The Society of Actuaries.

    Google Scholar 

  • Kalbfleisch, J. D., and R. L. Prentice. 2002. The statistical analysis of failure time data, 2d ed. New York: Wiley.

    Google Scholar 

  • Katz, S., L. G. Branch, M. H. Branson, J. A. Papsidero, J. C. Beck, and D. S. Greer. 1983. Active life expectancy. New England Journal of Medicine 309: 1218–1224.

    Google Scholar 

  • Keilman, N. 1994. Translation formulae for non-repeatable events. Population Studies 48: 341–357.

    Article  Google Scholar 

  • Keilman, N., and E. V. Imhoff. 1995. Cohort quantum as a function of time-dependent period quantum for non-repeatable events. Population Studies 49: 347–352.

    Article  Google Scholar 

  • Keyfitz, N. 1968. A life table that agrees with the data. II. Journal of the American Statistical Association 63: 1253–1268.

    Google Scholar 

  • Keyfitz, N. 1969. Age distribution and the stable equivalent. Demography 6: 261–269.

    Google Scholar 

  • Keyfitz, N. 1970. Finding probabilities from observed rates, or how to make a life table. The American Statistician 24: 28–33.

    Google Scholar 

  • Keyfitz, N. 1971a. Models. Demography 8: 571–580.

    Google Scholar 

  • Keyfitz, N. 1971b. On the momentum of population growth. Demography 8: 71–80.

    Google Scholar 

  • Keyfitz, N. 1972. On future population. Journal of American Statistical Association, 67: 347–363.

    Google Scholar 

  • Keyfitz, N. 1977a. Applied mathematical demography. New York: Wiley.

    Google Scholar 

  • Keyfitz, N. 1977b. Introduction to the mathematics of population with revisions. Reading, Mass: Addsion-Wesley.

    Google Scholar 

  • Keyfitz, N. 1985. Applied mathematical demography, 2d ed. New York: Wiley.

    Google Scholar 

  • Keyfitz, N., and W. Flieger. 1971. Population: Facts and methods of demography. San Francisco: Freeman.

    Google Scholar 

  • Keyfitz, N., and W. Flieger. 1990. World population growth and aging. Chicago: The University of Chicago Press.

    Google Scholar 

  • Keyfitz, N., and J. Frauenthal. 1975. An improved life table method. Biometrics 21: 889–899.

    Google Scholar 

  • Kim, Y. J., and R. Schoen. 1993. Crossovers that link populations with the same vital rates. Mathematical Population Studies 4: 1–19.

    Google Scholar 

  • Kim, Y. J., and R. Schoen. 1996. Populations with quadratic exponential growth. Mathematical Population Studies 6: 19–33.

    Google Scholar 

  • Kim, Y. J., and R. Schoen. 1997. Population momentum expresses population aging. Demography 34: 421–428.

    Google Scholar 

  • Kim, Y. J., and R. Schoen. 2000. Changes in timing and the measurement of fertility. Population and Development Review 26: 554–559.

    Article  Google Scholar 

  • Kim, Y. J., R. Schoen, and P. S. Sarma. 1991. Momentum and the growth-free segment of a population. Demography 28: 159–176.

    Google Scholar 

  • Kohler, H. P., and M. Philipov. 1999. Variance effects in the Bongaarts-Feeney formula. Demography 38(1): 1–16.

    Google Scholar 

  • Klein, J. P., and M. L. Moeschberger. 1997. Survival analysis: Techniques for censored and truncated data. New York: Springer-Verlag.

    Google Scholar 

  • Land, K. C. 1971. Formal theory. Sociological Methodology 1971: 175–220.

    Google Scholar 

  • Land, K. C. 2001. Models and indicators. Social Forces 80: 381–410.

    Google Scholar 

  • Land, K. C., J. M. Guralnik, and D. G. Blazer. 1994. Estimating increment-decrement life tables with multiple covariates from panel data: The case of active life expectancy. Demography 31: 297–319.

    Google Scholar 

  • Land, K. C., G. C. Hough, Jr., 1989. New methods for tables of school life, with applications to U.S. data from recent school years. Journal of the American Statistical Association 84: 63–75.

    Google Scholar 

  • Land, K. C., G. C. Hough, Jr., and M. M. McMillen. 1986. Voting status life tables for the United States, 1968–1980. Demography 23: 381–402.

    Google Scholar 

  • Land, K. C., and A. Rogers, eds. 1982. Multidimensional mathematical demography. New York: Academic Press.

    Google Scholar 

  • Land, K. C., and S. H. Schneider. 1987. Forecasting in the social and natural sciences: Some isomorphisms. In Forecasting in the social and natural sciences. Edited by K. C. Land and S. H. Schneider, 7–31. Boston: D. Reidel.

    Google Scholar 

  • Land, K. C., and R. Schoen. 1982. Statistical methods for Markov-generated increment-decrement life tables with polynomial gross flow functions. In Multidimensional mathematical demography. Edited by K. C. Land and A. Rogers, 265–346. New York: Academic Press.

    Google Scholar 

  • Lawless, J. F. 2003. Statistical models and methods for lifetime data, 2d ed. Hoboken, N.J.: Wiley.

    Google Scholar 

  • Lewis, E. L. 1941. On the generation and growth of a population. Sankhya 6: 93–96.

    Google Scholar 

  • Leslie, P. H. 1945. On the use of matrices in certain population mathematics. Biometrika 33: 183–212.

    Article  Google Scholar 

  • Li, N., and S. Tuljapurkar. 1999. Population momentum for gradual demographic transitions. Population Studies 53: 255–262.

    Article  Google Scholar 

  • Li, N., and S. Tuljapurkar. 2000. The solution of time-dependent population models. Mathematical Population Studies 7: 311–329.

    Google Scholar 

  • Lopez, A. 1961. Problems in stable population theory. Princeton, N.J.: Office of Population Research.

    Google Scholar 

  • Lotka, A. J. 1907. Relation between birth rates and death rates. Science 26: 21–22.

    Google Scholar 

  • Lotka, A. J. 1924 [1956]. Elements of mathematical biology. New York: Dover. [Originally published as Elements of physical biology by Williams and Wilkins, New York.]

    Google Scholar 

  • Lotka, A. J. 1998. Analytical theory of biological populations. Translated and with an Introduction by D. P. Smith and H. Rossert. New York: Plenum Press.

    Google Scholar 

  • Manton, K. G., and K. C. Land. 2000. Active life expectancy estimates for the U. S. elderly population: A multidimensional continuous-mixture model of functional change applied to completed cohorts, 1982–1996. Demography 37: 253–265.

    Google Scholar 

  • Manton, K. G., E. Stallard, and L. S. Corder. 1997. Changes in the age dependence of mortality and disability: Cohort and other determinants. Demography 34: 135–157.

    Google Scholar 

  • Manton, K. G., E. Stallard, and B. H. Singer. 1994. Methods for projecting the future size and health status of the U.S. elderly population. In Studies of the economics of aging. Edited by D. Wise, 41–77. Chicago: National Bureau of Economic Research and University of Chicago Press.

    Google Scholar 

  • Manton, K. G., M. A. Woodbury, and H. D. Tolley. 1994. Statistical applications using fuzzy sets. New York: Wiley.

    Google Scholar 

  • McFarland, D. D. 1969. On the theory of stable population: A new and elementary proof of the theorems under weaker assumptions. Demography 6: 301–322.

    Google Scholar 

  • Menken, J., J. Trussell, D. Stempel, and O. Babakol. 1981. Proportional hazards life table models: An illustrative analysis of socio-demographic influences on marriage dissolution in the United States. Demography 18:181–200.

    Google Scholar 

  • Merli, G. 1998. Mortality in Vietnam, 1979–1989. Demography 35: 345–360.

    Google Scholar 

  • Molla, M. T., D. K. Wagener, and J. H. Madans. 2001. Summary measures of population health: Methods for calculating healthy life expectancy. Atlanta: Centers for Disease Control and Prevention.

    Google Scholar 

  • Morgan, S. P., and S. M. Lynch. 2001. Success and future of demography: The role of data and methods. Special issue on population health and aging: Strengthening the dialogue between epidemiology and demography. Annals of the New York Academy of Sciences 954: 35–51.

    Google Scholar 

  • National Research Council. 2000. Beyond six billion: Forecasting the world’s population. Edited by J. a. R. A. B. Bongaarts. Washington, D.C.: National Academies Press.

    Google Scholar 

  • Notestein, F. 1945. Population—The long view. In Food for the world. Edited by Theodore W. Schultz, 36–57. Chicago: The University of Chicago Press.

    Google Scholar 

  • Paget, W. J., and I. M. Timaeus, 1994. A relational Gompertz model of male fertility: Development and assessment. Population Studies 48: 333–340.

    Article  Google Scholar 

  • Parlett, B. 1970. Ergodic properties of population. I. The one-sex model. Theoretical Population Biology 1: 191–207.

    Article  Google Scholar 

  • Pollard J. H., and E. J. Volkovics. 1992. The Gompertz distribution and its applications. Genus 48(3–4): 15–28.

    Google Scholar 

  • Preston, S. H. 1986. The relation between actual and intrinsic growth rates. Population Studies 40: 343–351.

    Article  Google Scholar 

  • Preston, S. H. 1987a. Relations among standard epidemiologic measures in a population. American Journal of Epidemiology 126: 336–345.

    Google Scholar 

  • Preston, S. H. 1987b. Estimation of certain measures in family demography based upon generalized stable population relations. In Family demography: Methods and their application. Edited by J. Bongaarts, 40–62. Cambridge: Cambridge University Press.

    Google Scholar 

  • Preston, S. H., and N. Bennett. 1983. A census-based method for estimating adult mortality. Population Studies 37: 91–104.

    Google Scholar 

  • Preston, S. H., and A. J. Coale. 1982. Age structure, growth, attrition and accession: A new synthesis. Population Index 48: 217–259.

    Article  Google Scholar 

  • Preston, S. H., I. T. Elo, I. Rosenwaike, and M. Hill. 1996. African-American mortality at older ages: Results of a matching study. Demography 35: 1–21.

    Google Scholar 

  • Preston, S. H., and M. Guillot. 1997. Population dynamics in an age of declining fertility. Genus 53: 15–31.

    Google Scholar 

  • Preston, S. H., P. Heuveline, and M. Guillot. 2001. Demography: Measuring and modeling population processes. Malden, Mass.: Blackwell.

    Google Scholar 

  • Preston, S. H., N. Keyfitz, and R. Schoen. 1972. Causes of death: Life tables for national populations. New York: Seminar Press.

    Google Scholar 

  • Preston, S. H., and M. Strong. 1986. Effects of mortality declines on marriage patterns in developing countries. In Consequences of Mortality Trends and Differentials. United Nations Population Study, No. 95, 88–100. New York: United Nations.

    Google Scholar 

  • Prskawetz, A., L. Jiang, and B. C. O’Neill. 2002. Demographic composition and projections of car use in Austria. Working Paper of Max Planck Institute for Demographic Research, Germany. http//www.demogr.mpg.de/; click “Staff Publications” to search for author’s name.

    Google Scholar 

  • Reed, L. G., and M. Merrell. 1939. A short method for constructing an abridged life table. American Journal of Hygiene 30: 33–62.

    Google Scholar 

  • Rogers, A. 1975. Introduction to multiregional mathematical demography. New York: Wiley.

    Google Scholar 

  • Rogers, A. 1986. Parameterized multistate population dynamics and projections. Journal of American Statistical Association, 81: 48–61.

    Google Scholar 

  • Rogers, A., R. G. Rogers, and L. G. Branch. 1989. A multistate analysis of active life expectancy. Public Health Reports 104: 222–225.

    Google Scholar 

  • Ryder, N. B. 1956. Problems of trend determination during a translation in fertility. Milbank Memorial Fund Quarterly 34(1): 5–21.

    Google Scholar 

  • Ryder, N. B. 1959. An appraisal of fertility trends in the United States. In Thirty years of research in human fertility: Retrospect and prospect, 1959, 38–49. New York: Milbank Memorial Fund.

    Google Scholar 

  • Ryder, N. B. 1964. The process of demographic translation. Demography 1: 74–82.

    Google Scholar 

  • Ryder, N. B. 1980. Components of temporal variations in American fertility. In Demographic patterns in developed societies. Edited by R. W. Hiorns, 15–54. London: Taylor Francis.

    Google Scholar 

  • Ryder, N. B. 1983. Cohort and period measures of changing fertility. In Determinants of fertility in developing countries. Edited by R. A. Bulatao and R. D. Lee, with P. E. Hollerbach and J. Bongaarts, 737–756. New York: Academic Press.

    Google Scholar 

  • Schoen, R. 1975. Constructing increment-decrement life tables. Demography 13: 313–324.

    Google Scholar 

  • Schoen, R. 1978. Calculating life tables by estimating Chiang’s a. Demography 15: 625–635.

    Google Scholar 

  • Schoen, R. 1988. Modeling multigroup populations. New York: Plenum.

    Google Scholar 

  • Schoen, R., and S. H. Jonsson. 2003. Modeling momentum in gradual demographic transitions. Demography 40: 621–635.

    Google Scholar 

  • Schoen, R., and Y. J. Kim. 1994. Hyperstability. Paper presented at the annual meeting of the Population Association of America, Miami, May 5–7.

    Google Scholar 

  • Schoen, R., and Y. J. Kim. 1996. Stabilization, birth waves, and the surge in the elderly. Mathematical Population Studies 6: 35–53.

    Google Scholar 

  • Schoen, R., and Y. J. Kim. 1998. Momentum under a gradual approach to zero growth. Population Studies 52: 295–299.

    Article  Google Scholar 

  • Schoen, R., and K. C. Land. 1979. A general algorithm for estimating a Markov-generated increment-decrement life table with applications to marital status patterns. Journal of the American Statistical Association 74: 761–776.

    Google Scholar 

  • Schoen, R., and K. Woodrow. 1980. Labor force status life tables for the United States, 1972. Demography 17: 297–322.

    Google Scholar 

  • Sharpe, F. R., and A. J. Lotka. 1911. Aproblem in age-distribution. Philosophical Magazine, Ser. 6, 21: 435–438.

    Google Scholar 

  • Shryock, H. S., and J. S. Siegel. 1975. The methods and materials of demography. 2 vols. Washington, D.C.: U.S. Government Printing Office.

    Google Scholar 

  • Singer, J. D., and J. B. Willet. 2003. Applied longitudinal data analysis: Modeling change and event occurrence. New York: Oxford University Press.

    Google Scholar 

  • Smith, D., and N. Keyfitz, eds. 1977. Mathematical demography: Selected papers. New York: Springer-Verlag.

    Google Scholar 

  • Sullivan, D. F. 1971. A single index of mortality and morbidity. HSMHA Health Report 86: 347–354.

    Google Scholar 

  • Sverdrup, E. 1965. Estimates and test procedures in connection with stochastic models for death, recoveries, and transfers between different states of health. Skandinavisk Aktuarietidskrift 40: 184–211.

    Google Scholar 

  • Sykes, Z. M. 1969. On discrete stable population theory. Biometrics 25: 285–293.

    Google Scholar 

  • Thatcher, A. R., V. Kannisto, and J. W. Vaupel. 1998. The force of mortality at ages 80 to 120. Odense, Denmark; Odense University Press. Online at http://www.demogr.mpg.de/Papers/Books/Monograph5/ForMort.htm.

    Google Scholar 

  • Therneau, T. M., and P. M. Grambsch. 2000. Modeling survival data. New York: Springer.

    Google Scholar 

  • Trussell, J. 1985. Mm (computer program). Princeton, N.J.: Office of Population Research.

    Google Scholar 

  • Trussell, J., and C. Hammerslough. 1983. A hazards-model analysis of the covariates of infant and child mortality in Sri Lanka. Demography 20: 1–26.

    Google Scholar 

  • Tuma, N. B., M. T. Hannan, and L. P. Groeneveld. 1979. Analysis of event histories. American Journal of Sociology 84: 820–854.

    Article  Google Scholar 

  • United Nations. 1983. Manual X: Indirect techniques for demographic estimation. New York: United Nations.

    Google Scholar 

  • United Nations, Statistical Division. 2000. Demographic yearbook, historical supplement, March 17. New York: United Nations.

    Google Scholar 

  • Van Imhoff, E., and N. Keilman. 2000. On the quantum and tempo of fertility: Comment. Population and Development Review 26: 549–553.

    Article  Google Scholar 

  • Wachter, K. W, and C. E. Finch, eds. 1997. Between Zeus and the salmon: The biodemography of longevity. Washington, D.C.: National Academies Press.

    Google Scholar 

  • Willekens, F. J., I. Shah, J. M. Shah, and P. Ramachandran. 1982. Multistate analysis of marital status life tables: Theory and application. Population Studies 36: 129–144.

    Google Scholar 

  • Woodbury, M. A., and J. Clive. 1974. Clinical pure types as a fuzzy partition. Journal of Cybernetics 73: 1073–1080.

    Google Scholar 

  • Woodbury, M. A., and K. G. Manton. 1983. A theoretical model of the physiological dynamics of circulatory disease in human populations. Human Biology 55: 417–441.

    Google Scholar 

  • Xie, Y., and E. E. Pimental. 1992. Age patterns of marital fertility: Revising the Coale-Trussell method. Journal of the American Statistical Association 87: 977–994.

    Google Scholar 

  • Yamaguchi, K. 1991. Event history analysis. London: Sage.

    Google Scholar 

  • Yang, C., and Y. Zeng. 2000. Household projections for Taiwan. Taiwanese Journal of Sociology 24: 239–279.

    Google Scholar 

  • Yashin, A. I., and I. I. Iachine. 1997. How frailty models can be used for evaluating longevity limits: Taking advantage of an interdisciplinary approach. Demography 34: 31–48.

    Google Scholar 

  • Zeng, Y. 1986. Changes in family structure in China: A simulation study. Population and Development Review 12: 675–703.

    Google Scholar 

  • Zeng, Y. 1988. Changing demographic characteristics and the family status of Chinese women. Population Studies 42: 183–203.

    Google Scholar 

  • Zeng, Y. 1991. Family dynamics in China: A life table analysis. Madison: The University of Wisconsin Press.

    Google Scholar 

  • Zeng, Y., D. Gu, and K. C. Land. 2004. A new method for correcting underestimation of disabled life expectancy and application to Chinese oldest-old. Demography 41: 335–361.

    Article  Google Scholar 

  • Zeng, Y., and K. C. Land. 2001. A sensitivity analysis of the Bongaarts-Feeney new method for adjusting bias in observed period total fertility rates. Demography 38: 17–28.

    Google Scholar 

  • Zeng, Y., and K. C. Land. 2002. Adjusting period tempo changes—with an extension of Ryder’s basic translation equation. Demography 39: 269–285.

    Google Scholar 

  • Zeng, Y., K. C. Land, Z. Wang, and D. Gu. 2005. U. S. Family Household Dynamics and Momentum—Extension of ProFamy Method and Application. Forthcoming in Population Research and Policy Review, 24(4).

    Google Scholar 

  • Zeng, Y., and J. W. Vaupel. 2003. Oldest old mortality in China. Demographic Research 8: 215–244.

    Google Scholar 

  • Zeng, Y., J. W. Vaupel, and Z. Wang. 1997. A multidimensional model for projecting family households—with an illustrative numerical application. Mathematical Population Studies 6: 187–216.

    Google Scholar 

  • Zeng, Y., J. W. Vaupel, and Z. Wang. 1998. Household projection using conventional demographic data. Population and Development Review, Supplementary Issue: Frontiers of Population Forecasting 24: 59–87.

    Google Scholar 

  • Zeng, Y., Z. Wang, Z. Ma, and C. Chen. 2000. A simple method for estimating α and β: An extension of Brass relational Gompertz fertility model. Population Research and Policy Review 19: 525–549.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Duke University, Durham, North Carolina, 27708

    Kenneth C. Land (John Franklin Crowell Professor of Sociology and Demographic Studies), Yang Yang Ph.D. (Candidate in Sociology and Demography and a Fellow of Program for Advanced Research in the Social Sciences) & Yi Zeng (Research Professor, Center for Demographic Studies and Department of Sociology)

Authors
  1. Kenneth C. Land
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yang Yang Ph.D.
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yi Zeng
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Texas A&M University, College Station, Texas, USA

    Dudley L. Poston

  2. National Institutes of Health, Bethesda, Maryland, USA

    Michael Micklin

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Kluwer Academic/Plenum Publisher

About this chapter

Cite this chapter

Land, K.C., Yang, Y., Zeng, Y. (2005). Mathematical Demography. In: Poston, D.L., Micklin, M. (eds) Handbook of Population. Handbooks of Sociology and Social Research. Springer, Boston, MA. https://doi.org/10.1007/0-387-23106-4_23

Download citation

Publish with us

Policies and ethics

Search

Navigation