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Book Review
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Book Information
Author(s):
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:
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- O. O. Aalen, Weak convergence of stochastic integrals related to counting processes, Z. Wahrsch. Verw. Gebiete 38 (1977), 261-277. MR 448552
- 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
Additional Information:
Reviewer(s):
David P.
Harrington
Review Information:
Journal:
Bull. Amer. Math. Soc.
9
(1983),
401-407.
DOI:
10.1090/S0273-0979-1983-15229-1
PII:
S 0273-0979(1983)15229-1
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