Marker Processes in Survival Analysis

Lifetime Data Analysis

Volumn 2, Issue 1, 1996, Pages 15-29

  Jewell, Nicholas P ^a   Kalbfleisch, J D ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Disease markers; Efficiency; Poissonprocess; Prevalent cohort; Proportionalhazards model; Stochastic hazard function

Indexed keywords

BIOLOGICAL MARKER;

ARTICLE; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; LIFE TABLE; MORTALITY; POISSON DISTRIBUTION; PROPORTIONAL HAZARDS MODEL; STATISTICS; SURVIVAL;

BIOLOGICAL MARKERS; HIV INFECTIONS; HUMANS; LIFE TABLES; POISSON DISTRIBUTION; PROPORTIONAL HAZARDS MODELS; STOCHASTIC PROCESSES; SURVIVAL ANALYSIS;

EID: 0030323475     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00128468     Document Type: Article

References (24)

1. M. Abramowitz and I. A. Stegun, (Eds.), Handbook of Mathematical Functions, Dover: New York, 1965.
2. M. S. A-Hameed and F. Proschan, "Shock models with underlying birth processes," Journal of Applied Probability vol. 12, pp. 18-28, 1975.
3. S. M. Berman, "A stochastic model for the distribution of HIV latency time based on T4 counts," Biometrika vol. 77, pp. 733-741, 1990.
4. R. Brookmeyer and M. Gail, "Biases in prevalent cohorts," Biometrics vol. 43, pp. 739-749, 1987.
5. D. R. Cox, "Regression problems and life tables (with discussion)," J. R. Statist. Soc. B vol. 34, pp. 187-220, 1972.
6. D. R. Cox, "A remark on censoring and surrogate response variables," J. R. Statist. Soc. B vol. 45, pp. 391-393, 1983.
7. A. De wanji and J. D. Kalbfleisch, "Nonparametric methods for survival/sacrifice experiments," Biometrics vol. 42, pp. 325-341, 1986.
8. B. Efron, "Efficiency of Cox's likelihood function for censored data," J. Amer. Statist. Assoc. vol. 72, pp. 557-565, 1977.
9. J. D. Esary A. W. Marshall and F. Proschan, "Shock models and wear processes," J. Annals of Probability vol. 1, pp. 627-649, 1973.
10. R. E. Fusaro, J. P. Nielsen and T. H. Scheike, "Marker-dependent hazard estimation: an application to AIDS," Statistics in Medicine, vol. 12, pp. 843-865, 1993.
11. N. P. Jewell and J. D. Kalbfleisch, "Marker processes in survival analysis." University of California Biostatistics Technical Report #24, 1991.
12. N. P. Jewell and J. D. Kalbfleisch, "Marker processes and applications to AIDS," In AIDS Epidemiology: Methodological Issues, N. P. Jewell, K. Dietz and V. Farewell, eds., Birkhauser: Boston, 1992.
13. N. P. Jewell and J. P. Nielsen, "A framework for consistent prediction rules based on markers," Biometrika vol. 80, pp. 153-164, 1993.
14. J. D. Kalbfleisch and R. L. Prentice, The Statistical Analysis of Failure Time Data, Wiley: New York, 1980.
15. H. M. Malani, "A modification of the redistribution to the right algorithmusing disease markers," Biometrika vol. 82, pp. 515-526, 1995.
16. B. McKnight and J. Crowley "Tests for differences in tumor incidence based on animal carcinogenesis experiments," J. Amer. Statist. Assoc. vol. 79, pp. 639-648, 1984.
17. A. Muñoz, M.-C. Wang, S. Bass, J. M. G. Taylor, L. A. Kingsley, J. S. Chmiel, B. F. Polk and the Multicenter AIDS Cohort Study Group, "Acquired immunodeficiency syndrome (AIDS)-free time after human immunodeficiency virus type 1 (HIV-1) seroconversion in homosexual men," American Journal of Epidemiology vol. 130, pp. 530-539, 1989.
18. R. L. Prentice, "Surrogate endpoints in clinical trials: definition and operational criteria," Statistics in Medicine vol. 8, pp. 431-440, 1989.
19. P. S. Puri, "A class of stochastic models of response after infection in the absence of defense mechanism," Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley and Los Angeles, University of California Press, vol. 4, pp. 511-536, 1966.
20. J. M. Robins and A. Rotnitzky, "Recovery of information and adjustment for dependent censoring using surrogate markers," In AIDS Epidemiology: Methodological Issues, N. P. Jewell, K. Dietz, and V. Farewell, eds., Birkhauser: Boston, 1992.
21. E. B. Rockower, "Reliability in a random environment." Naval Postgraduate School Technical Report, Monterey California, #NPS55-86-018, 1986.
22. A. Segall and T. Kailath, "The modeling of randomly modulated jump processes," IEEE Transactions on Information Theory IT-21, pp. 135-143, 1975.
23. M. Shi, J. M. G. Taylor, and A. Munõz, "Models for residual time to AIDS," Lifetime Data Analysis vol. 2, 1996.
24. J. M. G. Taylor, A. Munõz, S. M. Bass, A. J. Saah, J. S. Chmiel, L. A. Kingsley, and the Multicentre AIDS Cohort Study, "Estimating the distribution of times from HIV seroconversion to AIDS using multiple imputation," Statistics in Medicine vol. 9, pp. 505-514, 1990.