Uniform consistency of a class of regression function estimators for Banach-space valued random variable

Jean-Pierre Lecoutre

Statistics & Probability Letters, 1990, vol. 10, issue 2, 145-149

Abstract: This paper deals with an estimator mn of the regression function m(x) = E(Y X = x) with X in the real line and Y in a sufficiently regular Banach space. By using infinite dimensional probability inequalities for sums, we show that mn is uniformly consistent.

Keywords: Regression; function; statistically; equivalent; blocks; estimator; Banach-space; valued; random; variable; almost; complete; convergence (search for similar items in EconPapers)
Date: 1990
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Citations: View citations in EconPapers (2)

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