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Book Review

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Book Information:

Author: Martin Jacobsen
Title: Statistical analysis of counting processes
Additional book information: Lecture Notes in Statistics, Vol. 12, Springer-Verlag, New York, 1982, vii + 226 pp., $14.80. ISBN 0-3879-0769-6.

References [Enhancements On Off] (What's this?)

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  • 2. P. K. Andersen, O. Borgan, R. D. Gill and N. Keiding, Linear nonparametric tests for comparison of counting processes, with applications to censored survival data, Internat. Statist. Rev. 50 (1982), 219-258. MR 693219
  • 3. P. K. Andersen and R. D. Gill, Cox's regression model for counting processes: a large sample study, Ann. Statist. 10 (1982), 1100-1120. MR 673646
  • 4. D. Bernoulli, Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et les avantages de l'inoculation pour la prévenir, Histoire de l'Académie Royale des Sciences, 1960, pp. 1-45.
  • 5. R. Boel, P. Varaiya and E. Wong, Martingales on jump processes. I: Representation results, SIAM J. Control Optim. 13 (1975), 999-1021. MR 400379
  • 6. G. Cardano, Opus Novuum de Proportionibvs Nvmerorvm, 1570, Basel.
  • 7. D. R. Cox, Regression models and lifetables, J. Roy. Statist. Soc. Ser. B 34 (1972), 187-220. (with discussion) MR 341758
  • 8. B. Epstein and M. Sobel, Life-testing, J. Amer. Statist. Assoc. 48 (1953), 486-502. MR 56898
  • 9. L. Euler, Recherches générales sur la mortalité et la multiplication du genre humaine, Histoire de l'Académie Royale des Sciences et Belles Lettres 16 (1760), 144-164; English transl. by N. and B. Keyfitz in Theoret. Population Biol. 1 (1970), 307-314.[Note]
  • 10. T. R. Fleming, J. R. O'Fallon, P. C. O'Brien and D. P. Harrington, Modified Kolmogorov-Smirnov test procedures with application to arbitrarily right censored data, Biometrics 36 (1980), 607-625. MR 672339
  • 11. R. D. Gill, Censoring and stochastic integrals, Math. Centre Tracts 124, Math. Centrum, Amsterdam, 1980. MR 596815
  • 12. E. Halley, An estimate of the degrees of mortality of mankind..., Philos. Trans. Roy. Soc. London Ser. A 17 (1693), 596-610, 653-656.
  • 13. M. Halperin, Maximum likelihood estimation in truncated samples, Ann. Math. Statist. 23 (1952), 226-238. MR 48760
  • 14. D. P. Harrington, T. R. Fleming and S. J. Green, Procedures for serial testing in censored survival data, Survival Analysis (J. Crowley and R. A. Johnson, eds.), IMS Lecture Notes-Monograph Ser., Vol. 2, 1982, pp. 269-286. MR 734208
  • 15. E. L. Kaplan and P. Meier, Nonparametric estimation from incomplete observations, J. Amer. Statist. Assoc. 53 (1958), 457-481. MR 93867
  • 16. S. Karlin and H. M. Taylor, A first course in stochastic processes, 2nd ed., Academic Press, New York, 1975. MR 356197
  • 17. N. Mantel, Evaluations of survival data and two new rank order statistics arising in its consideration, Cancer Chemother. Rep. 50 (1966), 163-170.
  • 18. R. Rebolledo, Sur les applications de la theorie des martingales à l'étude statistique d'une famille de processus ponctuels, Journées de Statistique des Processus Stochastiques (Proc. Conf., Grenoble, 1977), Lecture Notes in Math., Vol. 636, Springer-Verlag, Berlin, 1978. MR 498944
  • 19. A. A. Tsiatis, A large sample study of Cox's regression model, Ann. Statist. 9 (1981), 93-108. MR 600535

Review Information:

Reviewer: David P. Harrington
Journal: Bull. Amer. Math. Soc. 9 (1983), 401-407
DOI: https://doi.org/10.1090/S0273-0979-1983-15229-1
American Mathematical Society