The simplest construction of bootstrap likelihoods involves two levels of bootstrapping, kernel density estimation, and non-parametric curve-smoothing. We describe more accurate and efficient constructions, based on smoothing at the first level of nested bootstraps and saddlepoint approximation to remove second-level bootstrap variation. Detailed illustrations are given.
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Department of Mathematics for Economics and Business, Faculty of Economics, University of Valencia, Tarongers Campus, Av. dels Tarongers, s/n, ValenciaDepartment of Mathematics for Economics and Business, Faculty of Economics, University of Valencia, Tarongers Campus, Av. dels Tarongers, s/n, Valencia
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Stanford Univ, Dept Stat, Stanford, CA 94305 USA
Stanford Univ, Dept Biomed Data Sci, Stanford, CA USAStanford Univ, Dept Stat, Stanford, CA 94305 USA
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Univ York, Dept Econ & Related Studies, York YO10 5DD, N Yorkshire, EnglandUniv York, Dept Econ & Related Studies, York YO10 5DD, N Yorkshire, England
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Department of Computer and Information Science, City College of DongGuan Univercity of Technology, Dongguan, Guangdong, ChinaDepartment of Computer and Information Science, City College of DongGuan Univercity of Technology, Dongguan, Guangdong, China
Nie, Huabei
Yang, Bin
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School of Electronic and Information Engineering, Shunde Polytechnic, Shunde, Guangdong, ChinaDepartment of Computer and Information Science, City College of DongGuan Univercity of Technology, Dongguan, Guangdong, China
Yang, Bin
Zhao, Yang
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Department of Electronic and Information Technology, Jiangmen Polytechnic, Jiangmen, Guangdong, ChinaDepartment of Computer and Information Science, City College of DongGuan Univercity of Technology, Dongguan, Guangdong, China