J. A. Cuesta, J. S. Dominguez, C. Matrán, “On the Consistency of the <nobr>$L_P $</nobr>-Isotonic Regression”, Teor. Veroyatnost. i Primenen., 1992, Volume 37, Issue 1,Pages <nobr>181

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On the Consistency of the $L_P $-Isotonic Regression

J. A. Cuesta^a, J. S. Dominguez^a, C. Matrán^b

^a Universidad de Cantabria
^b University of Valladolid

Abstract: In this paper we study the consistency of the empirical monotonic $p$-regression of a $p$-integrable, $1\le p<\infty$, function both in pointwise convergence and in convergence of empirical $p$-norms.