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Fourier series estimation for length biased data

Jones, M. C. and Karunamuni, R. J. (1997). Fourier series estimation for length biased data. Australian & New Zealand Journal of Statistics, 39(1) pp. 57–68.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1111/j.1467-842X.1997.tb00523.x
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Abstract

This paper proposes and investigates Fourier series estimators for length biased data. Specifically, two Fourier series estimators are constructed and studied based on ideas of Jones (1991) and Bhattacharyya et al. (1988) in the case of kernel density estimation. Approximate expressions for mean squared errors and integrated mean squared errors are obtained and compared, and some simulated examples are investigated. The Fourier series estimator based on the proposal of Jones seems to have the more desirable properties of the two. The paper concludes with some comments that put this work in a wider context.

Item Type: Journal Article
Copyright Holders: 1997 Australian Journal of Statistics
ISSN: 1467-842X
Keywords: density estimation; length biased data; Fourier series; mean squared error; integrated mean squared error
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 24106
Depositing User: Sarah Frain
Date Deposited: 11 May 2011 12:04
Last Modified: 02 Jan 2014 14:14
URI: http://oro.open.ac.uk/id/eprint/24106
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