An Approximation to the Small Sample Distribution of the Trimmed Mean for Gaussian Mixture Models

DOI10.1007/978-3-319-10765-3_14zbMath1337.62030OpenAlexW144881897MaRDI QIDQ2808107

Alfonso García-Pérez

Publication date: 26 May 2016

Published in: Strengthening Links Between Data Analysis and Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-10765-3_14

zbMATH Keywords

robustnessvon Mises expansion\(\alpha\)-trimmed mean

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Robustness and adaptive procedures (parametric inference) (62F35) Sampling theory, sample surveys (62D05) Approximations to statistical distributions (nonasymptotic) (62E17)

Uses Software

• robustbase

Cites Work

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• On the bootstrap and the trimmed mean
• Von Mises approximation of the critical value of a test
• Saddlepoint approximations to the trimmed mean
• Chi-square tests under models close to the normal distribution
• The asymptotic distribution of the trimmed mean
• General Saddlepoint Approximations with Applications to L Statistics
• t-Tests with Models Close to the Normal Distribution
• Robust Statistics
• On Some Robust Estimates of Location

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