Some Remarks on Failure-times, Surrogate Markers, Degradation, Wear, and the Quality of Life

Lifetime Data Analysis

Volumn 5, Issue 4, 1999, Pages 307-314

  Cox, D R ^a  

^a NUFFIELD COLLEGE   (United Kingdom)

Author keywords

Degradation; Failure time; First passage time; Stochastic model; Surrogate marker; Survival time; Wear

Indexed keywords

ANALYSIS OF VARIANCE; ARTICLE; HEALTH STATUS; HUMAN; QUALITY OF LIFE; STATISTICAL MODEL; STATISTICS;

ANALYSIS OF VARIANCE; HEALTH STATUS; HUMANS; MODELS, STATISTICAL; QUALITY OF LIFE; STOCHASTIC PROCESSES;

EID: 0033255447     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009684008455     Document Type: Article

References (12)

1. V. Bagdonavičius and M. S. Nikulin, "Model building in accelerated experiments," Chapter 4 in D. C. Ionescu and N. Limnios (eds.), Statistical and Probabilistic Models in Reliability, Birkhäuser: New York, 1999.
2. D. R. Cox and H. D. Miller, The Theory of Stochastic Processes, Chapman and Hall: London, 1965.
3. D. R. Cox and N. Wermuth, Multivariate Dependencies, Chapman and Hall: London, 1996.
4. K. A. Doksum and S-L. T. Normand, "Gaussian models for degradation processes-Part I: methods for the analysis of biomarker data," Lifetime Data Analysis vol. 1 pp. 135-144, 1995.
5. P. P. Glasziou, B. F. Cole, R. D. Gelber, J. Hilden and R. J. Simes, "Quality adjusted survival analysis with replicated quality of life measures," Statistics in Medicine vol. 17 pp. 1215-1229, 1998.
6. N. P. Jewell and J. D. Kalbfleisch, "Marker processes in survival analysis," Lifetime Data Analysis vol. 2 pp. 15-29, 1996.
7. C. J. Lu and W. Q. Meeker, "Using degradation measures to estimate time-to-failure distribution," Technometrics vol. 35 pp. 161-174, 1993.
8. A. Mercer, "Some simple wear-dependent renewal processes," Journal of the Royal Statistical Society Series B vol. 23 pp. 368-376, 1961.
9. N. D. Singpurwalla, "Survival in dynamic environments," Statistical Science vol. 10 pp. 86-103, 1995.
10. G. A. Whitmore, "Estimating degradation by a Wiener diffusion process subject to measurement error," Lifetime Data Analysis vol. 1 pp. 307-319, 1995.
11. G. A. Whitmore, M. J. Crowder, and J. F. Lawless, "Failure inference from a marker process based on a bivariate model," Lifetime Data Analysis vol. 4 pp. 229-251, 1998.
12. H. Zhao and A. A. Tsiatis (1997). "A consistent estimator for the distribution of quality adjusted survival time," Biometrika vol. 84 pp. 339-348, 1997.