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Mathematical Population Studies
An International Journal of Mathematical Demography
Volume 2, 1990 - Issue 2
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Original Articles

On the estimation of multidimensional demographic models with population registration data

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Pages 119-143 | Received 18 May 1987, Published online: 21 Sep 2009

References

  • Aalen , O. O. and Hoem , J. M. 1978 . Random time changes for multivariate counting processes . Scandinavian Actuarial Journal , 2 : 81 – 101 .
  • Andersen , P. K. , Borgan , Ø. , Gill , R. D. and Keiding , N. 1987 . Censoring, truncation and filtering in statistical models based on counting processes , Amsterdam : Report Centre for Mathematics and Computer Science .
  • Berman , A. and Plemmons , R. J. 1979 . Nonnegative matrices in the mathematical sciences , New York : Academic Press . etc.
  • Brouard , N. 1981 . Les tables de vie active déduites de la mobilité par age . Population , 36 (6) : 1085 – 1103 .
  • Chiang , C. L. and Van den Berg , B. J. 1982 . A fertility table for the analysis of human reproduction . Mathematical Biosciences , 62 : 237 – 251 .
  • Çinlar , E. 1975 . Introduction to stochastic processes , Englewood Cliffs, New Jersey : Prentice‐Hall Inc. .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. R. 1977 . Maximum likelihood from incomplete data via the EM‐algorithm (with discussion) . Journal of the Royal Statistical Society B , 39 : 1 – 38 .
  • Dow , M. M. 1985 . Nonparametric inference procedures for multistate life table analysis . Journal of Mathematical Sociology , 11 : 245 – 263 .
  • Feichtinger , G. and Lutz , W. 1983 . Eine Fruchtbarkeitstafel auf Paritätsbasis . Zeitschrift für Bevölker‐ungswissenschaft , 9 (3) : 363 – 376 .
  • Gill , R. 1986 . On estimating transition intensities of a Markov process with aggregate data of a certain type: “occurrences but no exposures”; . Scandinavian Journal of Statistics , 13 : 113 – 134 .
  • Gill , R. D. and Johansen , S. 1987 . Product‐integrals and counting processes , Report MS‐R8707 Amsterdam : Centre for Mathematics and Computer Science .
  • Hoem , J. M. 1977 . A Markov chain model of working life tables . Scandinavian Actuarial Journal , 1 : 1 – 20 .
  • Hoem , J. M. and Funck Jensen , U. 1982 . “ Multistate life table methodology: a probabilist critique ” . In Multidimensional mathematical demography , Edited by: Land , K. C. and Rogers , A. 155 – 264 . New York : Academic Press . etc.
  • Johansen , S. 1987 . Product integrals and Markov processes . CWI Newsletter , 12 : 3 – 13 . originally appeared (1977) as: Preprint no. 3, Institute of Mathematical Statistics, University of Copenhagen
  • Kalbfleisch , J. D. , Lawless , J. F. and Vollmer , W. M. 1983 . Estimation in Markov models from aggregate data . Biometrics , 39 : 907 – 919 .
  • Kalbfleisch , J. D. and Lawless , J. F. 1984 . Least‐squares estimation of transition probabilities from aggregate data . The Canadian Journal of Statistics‐La Revue Canadienne de Statistique , 12 (3) : 169 – 182 .
  • Krishnamoorthy , S. 1979 . Classical approach to increment‐decrement life tables: an application to the study of the marital status of United States females, 1970 . Mathematical Biosciences , 44 : 139 – 154 .
  • Land , K. C. and Schoen , R. 1982 . “ Statistical methods for Markov‐generated increment‐decrement life tables with polynomial gross flow functions ” . In Multidimensional mathematical demography , Edited by: Land , K. C. and Rogers , A. 265 – 346 . New York : Academic Press . eta,
  • Ledent , J. 1980 . Multistate life tables: movement versus transition perspectives . Environment and Planning A , 12 (5) : 533 – 562 .
  • Ledent , J. and Rees , P. 1986 . “ Life tables ” . In Migration and settlement—a multiregional comparative study , Edited by: Rogers , A. and Willekens , E . 385 – 418 . Dordrecht : Reidel Press .
  • Lee , T. C. , Judge , G. G. and Zellner , A. 1970 . Estimating the parameters of the Markov probability model from aggregate time series data , Amsterdam‐London : North‐Holland Publ. Co. .
  • Nour , E‐S. and Suchindran , C. M. 1984 . The construction of multistate life tables: comments on the article by Willekens et al. . Population Studies , 38 (2) : 325 – 328 .
  • Oechsli , E . 1975 . A population model based on a life table that includes marriage and parity . Theoretical Population Biology , 7 (2) : 229 – 245 .
  • Rogers , A. 1975 . Introduction to multiregional mathematical demography , New York : Wiley .
  • Rogers , A. and Ledent , J. 1976 . Increment‐decrement life tables: a comment . Demography , 13 (2) : 287 – 290 .
  • Schoen , R. and Nelson , V. E. 1974 . Marriage, divorce and mortality: a life table analysis . Demography , 11 (2) : 267 – 290 .
  • Schoen , R. and Land , K. C. 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 (368) : 761 – 776 .
  • Schoen , R. and Woodrow , K. 1980 . Labor force status life tables for the United States, 1972 . Demography , 17 (3) : 297 – 322 .
  • Van der Plas , A. P. 1983 . On the estimation of the parameters of Markov probability models using macro data . The Annals of Statistics , 11 (1) : 78 – 85 .
  • Wieseman , M. 1987 . Onderzoek naar de matrix van overgangsintensiteiten van een Markovproces (An investigation into the matrix of transition intensities of a Markov process) , University of Amsterdam . M.Sc Dissertation Mathematical Statistics,
  • Willekens , F. J. 1980 . Multistate analysis: tables of working life . Environment and Planning A , 12 (5) : 563 – 588 .
  • Willekens , F. J. , Shah , I. , Shah , J. M. and Ramachandran , P. 1982 . Multi‐state analysis of marital status life tables: theory and application . Population Studies , 36 (1) : 129 – 144 .

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