Higher order normalizing transformations of asymptotic \(U\)-statistics for removing bias, skewness and kurtosis

DOI10.1016/S0378-3758(99)00087-7zbMath0977.62053WikidataQ126989509 ScholiaQ126989509MaRDI QIDQ1969137

Yoshihiko Maesono, Yumi Fujioka

Publication date: 27 September 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

Edgeworth expansionsnormalizing transformationsasymptotic U-statistics

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Related Items (5)

Cornish-Fisher expansions using sample cumulants and monotonic transformations ⋮ Edgeworth Expansion and Normalizing Transformation of Ratio Statistics and Their Application ⋮ Linear transformations to symmetry ⋮ Higher-order comparisons of asymptotic confidence intervals ⋮ Accurate confidence intervals in regression analyses of non-normal data

Cites Work

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• Edgeworth corrected pivotal statistics and the bootstrap
• Normalizing transformations and bootstrap confidence intervals
• Edgeworth expansions of a studentized \(U\)-statistic and a jackknife estimator of variance
• The Edgeworth expansion for U-statistics of degree two
• Higher order asymptotic theory for normalizing transformations of maximum likelihood estimators
• Large Deviation Probabilities for U-Statistics
• Normalizing transformations of some statistics in multivariate analysis
• Modified t Tests and Confidence Intervals for Asymmetrical Populations
• The Distribution of Chi-Square
• Improvements of jackknife confidence limit methods

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