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\noindent Statistica Sinica {\bf 13}(2003), 129-142
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\centerline{\large\bf EQUIDISTRIBUTED DESIGNS IN}
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\centerline{\large\bf NONPARAMETRIC REGRESSION}
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\centerline{E. Rafaj\l owicz and R. Schwabe}
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\centerline{\it Wroc\l aw University of Technology and
  Otto von Guericke University}
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\begin{quotation}
\noindent {\it Abstract:}
In nonparametric regression estimation the best possible rate of convergence
is attained when the design points are equidistributed. Whole sequences of
equidistributed designs can be generated from vectors with algebraically
independent components. Generators are determined which perform well already
for moderate numbers of observations. The proposed design
sequences are nearly optimal in classical settings and simultaneously
appropriate for the nonparametric approach.\par
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\noindent {\it Key words and phrases:}
Additive regression, equidistributed sequence, lattice design,
nonparametric regression, optimal design.\par
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