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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 13, Fasc. 2,
pages 269 - 276
 

EQUIVALENT CONDITIONS FOR THE CONSISTENCY OF NONPARAMETRIC SPLINE DENSITY ESTIMATORS

Grzegorz Krzykowski

Abstract: We study the nonparametric spline density estimators of probability density. The equivalence of weak convergence for L 1 -consistency of one density and completely for L 1 -consistency of all densities is proved. It is equivalent also to suitable rates of convergence of window parameter.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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