On absolute moment-based upper bounds for \(\mathrm{L}\)-moments
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Publication:6650738
DOI10.1016/j.spl.2024.110249MaRDI QIDQ6650738
N. Balakrishnan, Mark C. W. Jones
Publication date: 9 December 2024
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Hölder's inequalityshifted Legendre polynomialsmesonGini's mean differenceprobability weighted momentscentring absolute momentstrimmed \(\mathrm{L}\)-moments.
Applications of statistics (62Pxx) Nonparametric inference (62Gxx) Statistical distribution theory (62Exx)
Cites Work
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- Bounds for the Gini mean difference via the Sonin identity
- Trimmed L-moments
- p-norm bounds on the expectation of the maximum of a possibly dependent sample
- The Gini mean difference and variance
- The multivariate Gini ratio
- Some theory and practical uses of trimmed \(L\)-moments
- A New Measure of Kurtosis Adjusted for Skewness
- Derivation of approximants to the inverse distribution function of a continuous univariate population from the order statistics of a sample
- On the use of \(L\)-functionals in regression models
- Bounds for Gini's mean difference based on first four moments, with some applications
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