Abstract
The object of this paper is to give a brief account of potential applications of semi-Markov processes in medical statistics, especially in connection with studies involving “quality of life”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
P.K. Andersen, O. Borgan, R. Gill and N. Keiding (1982). Linear non-parametric tests for comparison of counting processes, with applications to censored survival data (with discussion). Int. Statist. Rev. 50, 219–258.
D.R. Cox (1972), The statistical analysis of dependencies in point processes. In stochastic point processes, ed. P.A.W. Lewis, 55–66, New York: Wiley.
D.R. Cox and V. Isham (1980), Point processes. London: Chapman & Hall.
D.R. Cox and D. Oakes (1984), Analysis of survival data. London: Chapman & Hall.
G.E. Dinse & S.W. Lagakos (1982). Nonparametric estimation of lifetime and disease onset distributions from incomplete observations. Biometrics 38, 921–932.
P.M. Fayers and D.R. Jones (1983). Measuring and analysing quality of life in cancer clinical trials: a review. Statistics in Medicine 2, 429–446.
E. Fix and J. Neyman (1951). A simple stochastic model of recovery, relapse and loss of patients. Human Biology 23, 205–241.
I.B. Gertsbakh (1984). Asymptotic methods in reliability theory: a review. Adv. Appl. Prob. 16, 147–175.
R.D. Gill (1980). Nonparametric estimates based on censored observations of a Markov renewal process. Z. Wahr. 53, 97–116.
S. Johansen (1983). An extension of Cox’s regression model. Int. Statist. Rev. 51, 165–174.
E.L. Kaplan and P. Meier (1958). Nonparametric estimation from incomplete observations. J. Am. Statist. Assoc. 53, 457–481.
S.W. Lagakos (1976). A stochastic model for censored survival time in the presence of an auxiliary variable. Biometrics 32, 551–560.
S.W. Lagakos (1977). Using auxiliary variables for improved estimates of survival time. Biometrics 33, 399–404.
S.W. Lagakos, C.J. Sommer and M. Zelen (1978). Semi-Markov models for partially censored data. Biometrika 65, 311–317.
N. Temkin (1978). An analysis for transient states with application to tumor shrinkage. Biometrics 34, 571–580.
J.G. Voelkel and J. Crowley (1984). Nonparametric inference for a class of semi-Markov processes with censored observations. Ann. Statist. 12, 142–160.
G.H. Weiss and M. Zelen (1965). A semi-Markov model for clinical trials, J. Appl. Prob. 2, 269–285.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer Science+Business Media New York
About this chapter
Cite this chapter
Cox, D.R. (1986). Some remarks on semi-Markov processes in medical statistics. In: Janssen, J. (eds) Semi-Markov Models. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0574-1_24
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0574-1_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0576-5
Online ISBN: 978-1-4899-0574-1
eBook Packages: Springer Book Archive