ESTIMATING THE ASYMPTOTIC DISPERSION OF
THE L1 MEDIAN

ARUP BOSE

Theoretical Statistics and Mathematics Unit, Indian Statistical Institute,
203, B.T. Road, Calcutta-700 035, India

(Received February 21, 1994; revised July 27, 1994)

Abstract.    A simple estimate of the asymptotic dispersion matrix of the L1 median is proposed and its rate of convergence is studied.

Key words and phrases:    L1 median, asymptotic dispersion, consistent estimate, rate of convergence, strong law of large numbers, central limit theorem, law of iterated logarithm.

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