Browse > Article
http://dx.doi.org/10.5351/CKSS.2007.14.2.317

A Simple Estimation of Relative Risk  

Park, Hyo-Il (Department of Statistics, Chong-Ju University)
Hong, Seung-Man (Department of Informational Statistics, Korea University)
Publication Information
Communications for Statistical Applications and Methods / v.14, no.2, 2007 , pp. 317-327 More about this Journal
Abstract
In this paper, we propose a simple estimate of relative risk based on a functional equation. We derive the asymptotic normality with a restricted condition. Then we discuss some interesting features as concluding remarks. Finally we comment briefly about application of the estimate to the testing problems and compare our estimate with that of Begun through simulation study.
Keywords
Asymptotic normality; proportional hazards model; relative risk; two-sample problem;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Shorack, G. R. and Wellner, J. A. (1986). Empirical Processes with Applications to Statistics. John Wiley & Sons, New York
2 Thompson, W. A., Jr. (1977). On the treatment of grouped observations in life studies. Biometrics, 33, 463-470   DOI   ScienceOn
3 Kalbfleisch, J. D. and Prentice, R. L. (1973). Marginal likelihoods based on Cox's regression and life model. Biometrika, 60, 267-278   DOI   ScienceOn
4 Miller, R. G., Jr., Gong, G. and Munoz, A. (1981). Survival Analysis. John Wiley & Sons, New York
5 Breslow, N. E. (1975). Analysis of survival data under the proportional hazards model. International Statistical Review, 43, 45-58   DOI   ScienceOn
6 Begun, J. M. (1987). Estimates of relative risk. Metrika, 34, 65-82   DOI
7 Begun, J. M. and Reid, N. (1983). Estimating the relative risk with censored data. Journal of the American Statistical Society, 78, 337-341   DOI   ScienceOn
8 Bernstein, L., Andersen, J. and Pike, M. C. (1981). Estimation of the proportional hazard in two-treatment-group clinical trials. Biometrics, 37, 513-519   DOI   ScienceOn
9 Chung, K. L. (1974). A Course in Probability Theory. Academic Press, New York
10 Cox, D. R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society, Ser. B, 34, 187-220