Three common classes of kernel regression estimators are considered: the Nadaraya–Watson (NW) estimator, Priestley–Chao (PC) and Gasser–Müller (GM) estimator. It is shown that (i) GM estimator has a certain monotonicity preservation property for any K, (ii) NW this if only K log concave, (iii) PC does not have K. Other related properties these discussed.

Bernhard Banaschewski McMaster University William DeMeo University of South Carolina François Dorais Dartmouth College Mart́ın Escardó University of Birmingham Mai Gehrke Université Diderot Paris 7 & CNRS Steven Givant Mills College Heinz-Peter Gumm Universität Marburg Steve Jackson University of North Texas Michael Pinsker Université Diderot Paris 7 Hilary Priestley University of Oxford Dima Si...

let c be a field of subsets of a set i. also, let     1 i i be a non-decreasing positivesequence of real numbers such that 1, 1 0 1   i  and    11 i i . in this paper we prove thatbv of all the games of -bounded variation on c is a non-separable and norm dual banach space of thespace of simple games on c . we use this fact to establish the existence of a linear mapping t from...

We give a number of characterizations of structural entailment. In particular, we show that an alter ego M∼ structurally entails an algebraic relation s on a finite algebra M if and only if s can be obtained via a local construct from M∼ . We show, via a range of applications, that, whereas entailment is important in the study of dualisability, structural entailment is important in the study of...

in this paper we nd solution of linear interval equation in dual form based on the generalizedprocedure of interval extension which is called interval extended zero method.moreover, proposed method has signicant advantage, is that it substantially decreasesthe excess width eect.

In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.