Local optimization-based statistical inference

作者: Shifeng Xiong

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摘要: This paper introduces a local optimization-based approach to test statistical hypotheses and construct confidence intervals. can be viewed as an extension of bootstrap, yields asymptotically valid tests intervals long there exist consistent estimators unknown parameters. We present simple algorithms including neighborhood bootstrap method implement the approach. Several examples in which theoretical analysis is not easy are presented show effectiveness proposed

参考文章(36)
Richard A. Lockhart, Michael A. Stephens, Estimation and Tests of Fit for the Three-Parameter Weibull Distribution Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 56, pp. 491- 500 ,(1994) , 10.1111/J.2517-6161.1994.TB01995.X
J. K. Ghosh, Tapas Samanta, Mohan Delampady, An Introduction to Bayesian Analysis: Theory and Methods ,(2006)
Jasmina L Vujic, Monte Carlo Sampling Methods Handbooks in Operations Research and Management Science. ,vol. 10, pp. 353- 425 ,(2003) , 10.1016/S0927-0507(03)10006-0
Peter J. Bickel, Jian-Jian Ren, The bootstrap in hypothesis testing Institute of Mathematical Statistics. pp. 91- 112 ,(2001) , 10.1214/LNMS/1215090064
Xiong Shifeng, Li Guoying, Dispersion comparisons of two probability vectors under multinomial sampling Acta Mathematica Scientia. ,vol. 30, pp. 907- 918 ,(2010) , 10.1016/S0252-9602(10)60088-4
A. E. Gelfand, J. Glaz, L. Kuo, T.-M. Lee, Inference for the maximum cell probability under multinomial sampling Naval Research Logistics. ,vol. 39, pp. 97- 114 ,(1992) , 10.1002/1520-6750(199202)39:1<97::AID-NAV3220390108>3.0.CO;2-O
Laurens de Haan, Estimation of the Minimum of a Function Using Order Statistics Journal of the American Statistical Association. ,vol. 76, pp. 467- 469 ,(1981) , 10.1080/01621459.1981.10477669
W.R. Blischke, On nonregular estimation.ii.estimation of the location parameter of the gamma amd we i bull distributions Communications in Statistics-theory and Methods. ,vol. 3, pp. 1109- 1129 ,(1974) , 10.1080/03610927408827214
Jeong-Soo Park, Optimal Latin-hypercube designs for computer experiments Journal of Statistical Planning and Inference. ,vol. 39, pp. 95- 111 ,(1994) , 10.1016/0378-3758(94)90115-5
Kai-Tai Fang, Dennis K.J. Lin, Peter Winker, Yong Zhang, Uniform Design: Theory and Application Technometrics. ,vol. 42, pp. 237- 248 ,(2000) , 10.1080/00401706.2000.10486045