A uniqueness result for \(L\)-estimators, with applications to \(L\)-moments

DOI10.1016/j.stamet.2014.08.002zbMath1486.62137OpenAlexW2025114625MaRDI QIDQ1731261

Narayanaswamy Balakrishnan, Jonathan R. M. Hosking

Publication date: 13 March 2019

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2014.08.002

zbMATH Keywords

estimation\(L\)-statisticexpected order statistictrimmed \(L\)-moment

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (1)

Regression analysis: likelihood, error and entropy

Uses Software

• R
• DLMF
• microbenchmark

Cites Work

• Bias-reduced estimates for skewness, kurtosis, \(L\)-skewness and \(L\)-kurtosis
• Trimmed L-moments
• Quantile-based reliability analysis
• A contribution to multivariate L-moments: L-comoment matrices
• Some theory and practical uses of trimmed \(L\)-moments
• Discrete (Legendre) orthogonal polynomials-a survey
• Order Statistics
• Some Relations Between Expectations of Order Statistics in Samples of Different Sizes
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)
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