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On the dispersion of multivariate median

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  • Arup Bose
  • Probal Chaudhuri

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  • Arup Bose & Probal Chaudhuri, 1993. "On the dispersion of multivariate median," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(3), pages 541-550, September.
    • Handle: RePEc:spr:aistmt:v:45:y:1993:i:3:p:541-550
    DOI: 10.1007/BF00773354
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    References listed on IDEAS

    as
    1. Jun Shao, 1990. "Bootstrap estimation of the asymptotic variances of statistical functionals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(4), pages 737-752, December.
    2. Falk, Michael, 1986. "On the estimation of the quantile density function," Statistics & Probability Letters, Elsevier, vol. 4(2), pages 69-73, March.
    3. Hall, Peter & Martin, Michael A., 1991. "On the error incurred using the bootstrap variance estimate when constructing confidence intervals for quantiles," Journal of Multivariate Analysis, Elsevier, vol. 38(1), pages 70-81, July.
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    Cited by:

    1. Laniado Rodas, Henry, 2017. "Multivariate outlier detection based on a robust Mahalanobis distance with shrinkage estimators," DES - Working Papers. Statistics and Econometrics. WS 24613, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Arup Bose, 1995. "Estimating the asymptotic dispersion of theL 1 median," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(2), pages 267-271, June.
    3. Li, Weiming & Xu, Yangchang, 2022. "Asymptotic properties of high-dimensional spatial median in elliptical distributions with application," Journal of Multivariate Analysis, Elsevier, vol. 190(C).
    4. Elisa Cabana & Rosa E. Lillo & Henry Laniado, 2021. "Multivariate outlier detection based on a robust Mahalanobis distance with shrinkage estimators," Statistical Papers, Springer, vol. 62(4), pages 1583-1609, August.
    5. Brown, Bruce M. & Hall, Peter & Young, G. Alastair, 1997. "On the Effect of Inliers on the Spatial Median," Journal of Multivariate Analysis, Elsevier, vol. 63(1), pages 88-104, October.

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