| 摘要(英) |
The parametric accelerated failure time(AFT) model for analyzing the right-censored survival data usually assumes Weibull, lognormal or log-logistic distribution for the lifetime variable of interest. When the covariates are presented, the AFT model is often expressed log-linear
form. In this study, however we consider the parametric accelerated failure time model with lifetime which is distributed for a generalized gamma distribution, including, in particular, Weibull, lognormal and gamma distributions. In addition, we use local likelihood estimation to investigate the possible transformation of the covariates that showing in the log-linear model. A simulation study is further implemented for evaluating the bias and mean squares error of the estimated medians for a
variety of AFT models and survival distributions. Finally, we use a data to illustrate the application of the model, under study. |
| 參考文獻 |
[1]Bagdonavicius, V. and Nikulin, M.(2001). Accelerated Life models Modeling and Statistical Analysis. Springer: New York.
[2]Cleveland, W. S.(1979). Robust Locally Weighted Regression and Smoothing Scatterplots, Journal of the American Statistical Association, 74, 828-836.
[3]Cox ,C.,Chu, H., Schneider, M. F. and Munoz, A.(2007). Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution, Statistics in Medicine, 26, 4352-4374.
[4]Fleming, T. R. and Harrington, D. P.(1991). Counting Processes and Survival Analysis. Springer: New York.
[5]Friedman, J. H. and Stuetzle, W.(1981). Projection Pursuit Regression, Journal of the American Statistical Association, 76, 817-823.
[6]Friedman, J. H. and Stuetzle, W.(1981). Smoothing of Scatterplots, technical report(Orion 003), Stanford University, Dept. of Statistics.
[7]Mudholkar, G. S., Srivastava, D. K. and Kollia, G. D.(1996). A generalization of the Weibull distribution with application to the analysis of survival data, Journal of the American Statistical Association, 91, 1575-1583.
[8]Tibshirani, R. and Hastie, T.(1987). Local Likelihood Estimation, Journal of the American Statistical Association, 82, 398., 559-567
[9]Sparling, Y. H., Younes, N. and Lachin, J. M.(2006). Parametric survival models for interval-censored data with time-dependent covariates, Biostatistics, 7, 4, 599-614.
[10]Stacy, E. W.(1962). A generalization of the gamma distribution, Annals of Mathematical Statistics, 33, 1187-1192.
[11]Stacy, E. W. and Mihram G. A.(1965). Parameter estimation for a generalized gamma distribution, Technometrics, 7, 349-358.
[12]Wei, L. J.(1992). The accelerated failure time model: a useful alternative to the Cox regression model in survival analysis, Statistics in Medicine, 11, 1871-1879. |
[Endnote RIS 格式]
[相關文章]
[文章引用]
[完整記錄]
[館藏目錄]
[檢視]
plurk
funp
live
udn
HD
myshare
netvibes
friend
youpush
delicious
baidu
Google bookmarks
del.icio.us
hemidemi
facebook
twitter
google
reddit