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The copyright of a submitted article is only transferred to the publishers if and when the article is accepted for publication. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, electrostatic, mechanical, photocopying, recording or otherwise without the prior written permission of the publishers.
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Improving the choice of higer order univariate kernels throught bias reduction technique
Abstract
Within the last two decades, higher order univariate kernels have been under focus with respect to its importance in examining the concept of curve fitting. This paper has taken this direction by examining some basic properties of the univariate kernels in assessing and improving the choice of kernels. The minimum efficiency of the selected kernels is 82% at order 6. The global error diminishes as the order of h increases, and it is highest between orders 2 and 6, and beyond order 12 the global error seems to level off. Depending on the tolerance limit specified for the MISE and the percentage efficiency permitted, the extent of bias reduction required, can be monitored.
Journal of Science and Technology Vol. 26 (3) 2003: pp. 19-23
