Phương pháp Bootstrap để Đánh giá Độ chính xác Thống kê

Anderson, O.D. (1976). Time Series Anlysis and Forecasting. Beran. R. (1984). Bootstrap methods in statistics. Jber. d. Dt. Math. Verein 86, 14–30. Bickel, P.J. and Freedman, D.A. (1981). Some asymptotic theory for the bootstrap. Annals Stat. 9, 1196–1217. Box, G.E.P. and Cox, D.R. (1964). An analysis of transformations. JRSS B, 26, 211–252. Breiman, L. and Friedman, J.H. (1984). Estimating optimal correlations for multiple regression and correlation. To appear. J. Amer. Stat Assoc., March 1985. Cox, D.R. (1972). Regression models and life tables. JRSS B, 34, 187–202. Cramer, H. (1946). Mathematical Methods of Statistics. Princeton University Press, New Jersey. Efron, B. (1979). Bootstrap methods: another look at the jackknife. Annals Stat. 7, 1–26. Efron, B. (1979B). Computers and the theory of statistics: thinking the unthinkable. SIAM Review 21, 460–480. Efron, B. (1981A). Censored data and the bootstrap. J. Amer. Stat. Assoc. 76, 312–319. Efron, B. (1981B). Maximum likelihood and decision theory. Annals Stat 10, 340–356. Efron, B. (1981C). Nonparametric estimates of standard error: the jackknife, the bootstrap, and other resampling methods. Biometrika 68, 589–599. Efron, B. (1982). The jackknife, the bootstrap, and other resampling plans. SIAM CBMS-NSF Monograph 38. Efron, B. (1982A). Transformation theory: how normal is a one parameter family of distributions? Annals Stat, 10, 323–339. Efron, B. (1983). Estimating the error rate of a prediction rule: mprovements in cross-validation. J. Amer. Stat. Assoc. 78, 316–331. Efron, B. (1984A). Bootstrap confidence intervals for a class of parametric problems. To appear Biometrika. Efron, B. (1984B). Better bootstrap confidence intervals. Department of Statistics, Stanford University Technical Report No. 226. Efron, B. and Gong, G. (1983). A leisurely look at the bootstrap, the jackknife, and cross validation. The American Statistician 37, 36–48. Efron, B. and Stein, C. (1981). The jackknife estimate of variance. Annals Stat. 9, 586–596. Fieller, E.C. (1954). Some problems in interval estimation. JRSS B, 16, 175–183. Friedman, J.H. and Stuetzle, W. (1981). Projection pursuit regression. J. Amer. Stat. Assoc. 76, 817–823. Friedman, J.H. and Tibshirani, R.J. (1984). The monotone smoothing of scatterplots. Technometrics 26, 3, 243–250. Hampel, F.R. (1974). The influence curve and its role in robust estimation. J. Amer. Stat. Assoc. 69, 383–393. Hastie, T.J. and Tibshirani, RJ. (1984). Discussion of Peter Huberts “Projection Pursuit”. To appear Annals Stat, August 1985. Hinkley, D.V. (1978). Improving the jackknife with special reference to correlation estimation. Biometrika 65, 13–22. Jaeckel, L. (1972). The infinitesimal jackknife. Memorandum MM 72-1215-11, Bell Laboratories, Murray Hill, New Jersey. Johnson, N. and Kotz, S. (1970). Continuous Univariate Distributions, vol. 2. Houghton Mifflin, Boston. Kaplan, E.L. and Meier, P. (1958). Nonparametric estimation from incomplete samples. J. Amer. Stat Assoc. 53, 457–481. Kiefer, J. and Wolfowitz, J. (1956). Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters. Annals Math. Stat 27, 887–906. Mallows, C. (1974). On some topics in robustness. Memorandum, Bell Laboratories, Murray Hill, New Jersey. Miller, R.G. (1974). The jackknife — a review. Biometrika 61, 1–17. Miller, R.G. and Halpern J. (1982). Regression with censored data. Biometrika 69, 521–531. Rao, C.R. (1973). Linear Statistical Inference and Its Applications. Wiley, New York. Singh, K. (1981). On the asymptotic accuracy of Efron’s bootstrap. Annals Stat. 9, 1187–1195. Therneau, T. (1983). Variance Reduction Techniques for the Bootstrap. Ph. D. Thesis. Stanford University, Department of Statistics. Tibshirani, R.J. and Hastie, T.J. (1984). Local likelihood estimation. Department of Statistics, Stanford University Technical Report No. 97. Tukey, J. (1958). Bias and confidence in not quite large samples, abstract. Annals Math. Statist. 29, p. 614.