Multivariate tests-of-fit and uniform confidence bands using a weighted bootstrap

Alexander, 1987, Central limit theorems for stochastic processes under random entropy conditions, Probab. Theoret. Related Fields, 75, 351, 10.1007/BF00318707 Barbe, P., Bertail, P., 1995. The Weighted Bootstrap. Lecture Notes in Statistics, vol. 98. Springer, New York. Burke, M.D., 1998. A Gaussian bootstrap approach to estimation and tests. In: B. Szyszkowicz (Ed.), Asymptotic Methods in Probability and Statistics (ICAMPS’97). Elsevier, Amsterdam, pp. 697–706. Burke, M.D., 1999. Nonparametric model checks for regression using a weighted bootstrap. Manuscript. Efron, 1979, Bootstrap methods — another look at the jackknife, Ann. Statist., 7, 1, 10.1214/aos/1176344552 Efron, B., 1982. The Jackknife, the Bootstrap and Other Resampling Plans. Reg. Conference Ser. Appl. Math., SIAM, Philadelphia. Gaenssler, P., 1987. Bootstrapping empirical measures indexed by Vapnik–Chervonenkis classes of sets. In: Prohorov et al. (Eds.), Prob. Theory & Math. Stat. Vol. 1. VNU Science Press, Utrecht, pp. 467–481. Haeusler, 1991, Weighted bootstrapping of means, Cent. Wisk. Inform. Quart., 4, 213 Horváth, L., 1998. Approximations for hybrids of empirical and partial sums processes. Preprint. Horváth, L., Kokoszka, P., Steinebach, J., 1999. Approximations for weighted bootstrap processes with an application. Statist. Probab. Lett., to appear. Ivanoff, 1996, Stopping times and tightness for multiparameter martingales, Statist. Probab. Lett., 28, 111, 10.1016/0167-7152(95)00103-4 Keaney, 1994, Interim analysis based on median survival times, Biometrika, 81, 279, 10.1093/biomet/81.2.279 Lin, 1996, Comparing two failure time distributions in the presence of dependent censoring, Biometrika, 83, 381, 10.1093/biomet/83.2.381 Mason, 1992, A rank statistics approach to the consistency of a general bootstrap, Ann. Statist, 20, 1611, 10.1214/aos/1176348787 Parzen, 1994, A resampling method based on pivotal estimating functions, Biometrika, 81, 341, 10.1093/biomet/81.2.341 Praestgaard, 1993, Exchangeably weighted bootstraps of the general empirical process, Ann. Probab., 21, 2053, 10.1214/aop/1176989011 Rossini, 1996, Checking adequacy of the semiparametric location shift model with censored data, Lifetime Data Anal., 2, 145, 10.1007/BF00128572 Rubin, 1981, The Bayesian bootstrap, Ann. Statist., 9, 130, 10.1214/aos/1176345338 Shorack, G.R., Wellner, J.A., 1986. Empirical Processes with Applications to Statistics. Wiley, New York. Stute, 1998, Bootstrap approximations in model checks for regression, J. Amer. Statist. Assoc., 93, 141, 10.2307/2669611 Su, 1991, A lack-of-fit test for the mean function in a generalized linear model, J. Amer. Statist. Assoc., 86, 420, 10.2307/2290587 Van der Vaart, A.W., Wellner, J.A., 1996. Weak Convergence and Empirical Processes. Springer, New York. Wu, 1986, Jackknife, bootstrap and other resampling methods in regression analysis, Ann. Statist., 14, 1261, 10.1214/aos/1176350142