Estimation of the Benchmark Dose for Right-Censored Lifetime Data

References

• Andersen, P.K., Gill, R.D. (1982). Cox's Regression model for counting processes: A large sample study. The Annals of Statistics 10:1100–1120.
   Web of Science ®Google Scholar
• Banga, S., Patil, G.P., Taillie, C. (2002). Continuous dose-response modeling and risk analysis with the gamma and reciprocal gamma distribution. Environmental and Ecological Statistics 9:293–293.
   Google Scholar
• Chen, J.J., Gaylor, D.W. (1992). Dose-response modeling of quantitative response for risk assessment. Communications in statistics, Theory and methods 21:2367–2381.
   Web of Science ®Google Scholar
• Cox, D.R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society: Series B 34:187–220.
   Web of Science ®Google Scholar
• Crump, K.S. (1984). A new method for determining allowable daily intakes. Fundamental and Applied Toxicology 4:854–87.
   PubMedGoogle Scholar
• Crump, K.S. (1995). Calculation of benchmark doses from continuous data. Risk Analysis 15:79–89.
   Web of Science ®Google Scholar
• Efron, B., Tibshirani R.J. (1993). An Introduction to the Bootstrap. New York: Chapman & Hall.
   Google Scholar
• Filipsson, A.F., Sand, S., Nilsson, J., Victorin, K. (2003). The benchmark dose method-Review of available models, and recommendations for application in health risk assessment. Critical Reviews in Toxicology 33:505–542.
   PubMed Web of Science ®Google Scholar
• Grambsch, P., Therneau, T. (1994), Proportional hazards tests and diagnostics based on weighted residuals. Biometrika 81:515–526.
   Web of Science ®Google Scholar
• Kaplan, E.L., Meier, P. (1958). Nonparametric estimator from incomplete observations. Journal of the American Statistical Association 53:457–481.
   Web of Science ®Google Scholar
• Kodell, R.L., West, R.W. (1993). Upper confidence limits on excess risk for quantitative responses. Risk Analysis 13:177–182.
   PubMed Web of Science ®Google Scholar
• Kolmogorov, A. (1933). Sulla Determinazione Empirica di una Legge di Distributione. Giornale dell’Istituto Italiano degli Attuari 4:1–11.
   Google Scholar
• Patal, K.M., Hoal, D.G. (1973). A generalized jonckheere k-sample test against ordered alternatives when observations are subject to arbitrary right censorship. Communications in statistics, Theory and methods 2:373–380.
   Google Scholar
• Piegorsch, W.W., West, W., Pan, W., Kodell, R.L. (2005a). Low dose risk estimation via simultaneous statistical inferences. Journal of the Royal Statistical Society: Series C (Applied Statistics) 54:245–258.
   Web of Science ®Google Scholar
• Piegorsch, W.W., West, W., Pan, W., Kodell, R.L. (2005b). Simultaneous confidence bounds for low-dose risk assessment with nonquantal data. Journal of biopharmaceutical statistics 15:17–31.
   PubMed Web of Science ®Google Scholar
• R Development Core Team (2011). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3–900051–07–0, . URL http://www.R-project.org/.
   Google Scholar
• Suwazono, Y., Sakata, K., Harada, H., Oishi, M., Okubo, Y., Uetani, M., Kobayashi, E., Nogawa, K. (2006). Benchmark dose of working hours in relation to subjective fatigue symptoms in Japanese male workers. Annals Epidemiology 16:726–732.
   PubMed Web of Science ®Google Scholar
• Tang, Y., Xie, M., Goh, T.N. (2003). Statistical analysis of a Weibull extension model. Communications in Statistics-Theory and Methods 32:913–928
   Web of Science ®Google Scholar
• Upton, A.C., Allen, R.C., Brown, R.C., Clapp, N.K., Conlin, J.W., Cosgrove, G.E., Darden, Jr., E.B., Kastenbaurm, M.A., Odell, Jr., T.T., Serrano, L.J., Tyndall, R.L., Walurg, Jr., H.E. (1969). Quantitative experimental study of low-level radiation carcinogensis. Radiation-Induced Cancer, International Atomic Energy Agency, Vienna, 425–438.
   Google Scholar
• U.S. Environmental Protection Agency. (1995). The Use of the Benchmark Dose Method in Health Risk Assessment. U.S. Environmental Protection Agency, Washington. DC. Report EPA/630/R-94/007.
   Google Scholar
• Xie, M., Tang, Y., Goh, T.N. (2002). A modified Weibull extension with bathtub-shaped failure rate function. Reliability Engineering & Systems Safety 76:279–285
   Web of Science ®Google Scholar