On the Interrelation Between the Sample Mean and the Sample Variance

DOI10.1080/00031305.2012.695960OpenAlexW1979176921MaRDI QIDQ5876900

Ananda Sen

Publication date: 2 February 2023

Published in: The American Statistician (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00031305.2012.695960

zbMATH Keywords

correlationcharacterizationconditional expectationkurtosisskewnessPearson's inequality

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (5)

Extensions of Pearson's inequality between skewness and kurtosis to multivariate cases ⋮ Asymptotic cumulants of the estimator of the canonical parameter in the exponential family ⋮ Locally robust inference for non-Gaussian linear simultaneous equations models ⋮ Characterization and inequalities based on the third moment ⋮ Some Useful Moment Results in Sampling Problems

Cites Work

• An extended Laha-Lukacs characterization result based on a regression property
• Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions
• Sharp inequalities between skewness and kurtosis
• On the Covariance Between the Sample Mean and Variance
• A note on the correlation betweenS 2 and the least squares estimator in the linear regression model
• A New Measure of Kurtosis Adjusted for Skewness
• Linear Statistical Inference and its Applications
• A Characterization of the Normal Distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Interrelation Between the Sample Mean and the Sample Variance