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Quasi-medians are robust and relatively efficient estimators of a common mean given multivariate normality

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  • Hutson, Alan D.

Abstract

In this note we examine the efficiency of averaging marginal quasi-medians as compared to averaging marginal sample means when estimating a common location parameter given multivariate normal data. It is shown that the efficiency of certain quasi-medians approach that of the sample mean as the dimension of the problem grows larger. Modest gains in efficiency may be had even when the dimension of the problem is extended from the univariate setting to the bivariate setting.

Suggested Citation

  • Hutson, Alan D., 2002. "Quasi-medians are robust and relatively efficient estimators of a common mean given multivariate normality," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 403-408, May.
    • Handle: RePEc:eee:stapro:v:57:y:2002:i:4:p:403-408
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    References listed on IDEAS

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    1. Maritz, J. S., 1991. "Estimating the covariance matrix of bivariate medians," Statistics & Probability Letters, Elsevier, vol. 12(4), pages 305-309, October.
    2. Babu, G. Jogesh & Rao, C. Radhakrishna, 1988. "Joint asymptotic distribution of marginal quantiles and quantile functions in samples from a multivariate population," Journal of Multivariate Analysis, Elsevier, vol. 27(1), pages 15-23, October.
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    Cited by:

    1. Withers, Christopher S. & Nadarajah, Saralees, 2011. "Estimates of low bias for the multivariate normal," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1635-1647, November.

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