Exact variance structure of sample L-moments

DOI10.1016/S0378-3758(03)00213-1zbMath1074.62024MaRDI QIDQ1878666

Elsayed A. H. Elamir, Allan H. Seheult

Publication date: 8 September 2004

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

zbMATH Keywords

dispersionkurtosisskewnessprobability weighted moments

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric estimation (62G05) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (9)

Distributions with maximum entropy subject to constraints on their \(L\)-moments or expected order statistics ⋮ Some theory and practical uses of trimmed \(L\)-moments ⋮ Trimmed L-moments ⋮ A contribution to multivariate L-moments: L-comoment matrices ⋮ L-moment estimation for parametric survival models given censored data ⋮ Direct L-moments for Type-I censored data with application to the Kumaraswamy distribution ⋮ Assessing Symmetry Using Quantiles andL-Moments ⋮ Nonparametric Confidence Regions for L-Moments ⋮ Estimation of quantile mixtures via L-moments and trimmed L-moments

Cites Work

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• Tables of Expected Values of Order Statistics and Products of Order Statistics for Samples of Size Twenty and Less from the Normal Distribution
• Extrapolation of Linear Estimates to Larger Sample Sizes
• The use of U-statistics for testing normality against nonsymmetric alternatives
• Control charts based on linear combinations of order statistics
• Characterization of Normal and Generalized Truncated Normal Distributions Using Order Statistics
• Linear estimates with polynomial coefficients
• Derivation of approximants to the inverse distribution function of a continuous univariate population from the order statistics of a sample
• THE STANDARD ERROR OF GINI'S MEAN DIFFERENCE
• INTERRELATIONS BETWEEN CERTAIN LINEAR SYSTEMATIC STATISTICS OF SAMPLES FROM ANY CONTINUOUS POPULATION

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