Fitting parametric survival models with time-dependent covariates

This paper shows (a) how the Gauss‐Newton method for nonlinear least squares estimation can be used to estimate any fully parameteric survival model by the method of maximum likelihood; (b) how the algorithm allows for a flexible treatment of time‐dependent covariates in fully parametric models. An empirical analysis of the duration of jobs illustrates the use of the algorithm. The data are taken from The Norwegian Life History Study for Men.

[1]  Donald M. Waldman Computation in duration models with heterogeneity , 1985 .

[2]  M. Hannan,et al.  Social Dynamics: Models and Methods. , 1986 .

[3]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[4]  Philip Hougaard,et al.  Life table methods for heterogeneous populations: Distributions describing the heterogeneity , 1984 .

[5]  J. Heckman,et al.  Econometric duration analysis , 1984 .

[6]  G. Arminger ANALYSIS OF EVENT HISTORIES WITH GENERALIZED LINEAR MODELS , 1984 .

[7]  David Clayton,et al.  Fitting a General Family of Failure-Time Distributions using GLIM , 1983 .

[8]  S. Bennett,et al.  Log‐Logistic Regression Models for Survival Data , 1983 .

[9]  W. Dixon,et al.  BMDP statistical software , 1983 .

[10]  Richard E. Quandt,et al.  COMPUTATIONAL PROBLEMS AND METHODS , 1983 .

[11]  J. Whitehead Fitting Cox's Regression Model to Survival Data Using Glim , 1980 .

[12]  Murray Aitkin,et al.  The Fitting of Exponential, Weibull and Extreme Value Distributions to Complex Censored Survival Data using GLIM , 1980 .

[13]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[14]  J. Nelder,et al.  The GLIM System Release 3. , 1979 .

[15]  J D Kalbfleisch,et al.  Hazard rate models with covariates. , 1979, Biometrics.

[16]  R I Jennrich,et al.  Fitting nonlinear models to data. , 1979, Annual review of biophysics and bioengineering.

[17]  P. Heil Survival Distributions: Reliability Applications in the Biomedical Sciences , 1976 .

[18]  Bronwyn H Hall,et al.  Estimation and Inference in Nonlinear Structural Models , 1974 .

[19]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .