Conservative Confidence Bands for Nonparametric Regression
作者： Ricardo Fraiman , Gonzalo Perez Iribarren
DOI: 10.1007/978-94-011-3222-0_4
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摘要: In this paper conservative confidence bands for the regression function, closely related to those proposed by Hall and Titterington (1988) are considered. However we allow appear dependence between local averages which will lead more efficent bands. Confidence based on medians also considered both cases find optimal choices of number observations use at each cell subintervals be A comparison methods is given some examples The proposal very simple gives calculation widths easy.
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sci-hub.st 参考文章(7)
Grace Wahba, Bayesian "Confidence Intervals" for the Cross-validated Smoothing Spline Journal of the royal statistical society series b-methodological. ,vol. 45, pp. 133- 150 ,(1983) , 10.1111/J.2517-6161.1983.TB01239.X
Peter Hall, D.M. Titterington, On confidence bands in nonparametric density estimation and regression Journal of Multivariate Analysis. ,vol. 27, pp. 228- 254 ,(1988) , 10.1016/0047-259X(88)90127-3
Wolfgang Härdle, Adrian W. Bowman, Bootstrapping in Nonparametric Regression: Local Adaptive Smoothing and Confidence Bands Journal of the American Statistical Association. ,vol. 83, pp. 102- 110 ,(1988) , 10.1080/01621459.1988.10478572
George Knafl, Jerome Sacks, Donald Ylvisaker, Confidence Bands for Regression Functions Journal of the American Statistical Association. ,vol. 80, pp. 683- 691 ,(1985) , 10.1080/01621459.1985.10478169
M. R. Leadbetter, Holger Rootzén, Georg Lindgren, Extremes and Related Properties of Random Sequences and Processes ,(2011)
William Feller, An introduction to probability theory and its applications ,(1950)
Richard A. Davis, M. R. Leadbetter, Georg Lindgren, Holger Rootzen, Extremes and Related Properties of Random Sequences and Processes. Journal of the American Statistical Association. ,vol. 80, pp. 251- ,(1985) , 10.2307/2288102