Estimates of low bias for the multivariate normal

DOI10.1016/j.spl.2011.06.014zbMath1227.62038OpenAlexW2061444275MaRDI QIDQ643233

Christopher S. Withers, Saralees Nadarajah

Publication date: 28 October 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.06.014

zbMATH Keywords

momentsbias reductionmultivariate Hermite polynomialsratio estimates

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Point estimation (62F10)

Related Items

A note on bias reduction

Cites Work

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• Moments and cumulants for the complex Wishart
• Empirical Bayes estimation of the multivariate normal covariance matrix
• On unbiased and improved loss estimation for the mean of a multivariate normal distribution with unknown variance.
• Quasi-medians are robust and relatively efficient estimators of a common mean given multivariate normality
• Estimation of the entropy of a multivariate normal distribution
• Expressions for Rényi and Shannon entropies for multivariate distributions
• Minimal moments and cumulants of symmetric matrices: An application to the Wishart distribution
• Moments of the complex multivariate normal distribution
• Estimators for the inverse powers of a normal mean
• Estimation of multivariate normal covariance and precision matrices in a star-shape model with missing data
• Corrected version of \(AIC\) for selecting multivariate normal linear regression models in a general nonnormal case
• Estimation of the multivariate normal precision and covariance matrices in a star-shape model
• Confidence Bounds on Vector Analogues of the "Ratio of Means" and the "Ratio of Variances" for Two Correlated Normal Variates and Some Associated Tests
• A chain rule for differentiation with applications to multivariate hermite polynomials
• Multivariate Statistical Analysis
• The moments of the multivariate normal
• Bias reduction by taylor series^∗
• Moments and cumulants of the multivariate normal distribution
• On multivariate coefficients of variation
• Moments of wishart distribution
• Unbiased Estimation of Some Multivariate Probability Densities and Related Functions
• Measures of multivariate skewness and kurtosis with applications
• The Application of Invariance to Unbiased Estimation
• Comparisons Among Estimators of a Scale Parameter of the Beta-Stacy Distribution