Uniform consistency of r-means

Juan A Cuesta and Carlos Matrán

Statistics & Probability Letters, 1988, vol. 7, issue 1, 65-71

Abstract: The paper is devoted to study the uniform consistency of the r-mean for B-valued random variables, where B is a uniformly convex Banach space. We conclude that, for bounded B-valued random variables, the consistency of the r-means is uniform in r [epsilon] [1, [infinity]] iff the variable has a unique median. This happens always when the random variable is not essentially real-valued.

Keywords: p-mean; uniform; consistency; uniformly; convex; spaces; Chebysev; center; median; center-range (search for similar items in EconPapers)
Date: 1988
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