Jones, M. C. and Karunamuni, R. J.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1111/j.1467-842X.1997.tb00523.x|
|Google Scholar:||Look up in Google Scholar|
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|
|Keywords:||density estimation; length biased data; Fourier series; mean squared error; integrated mean squared error|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Sarah Frain|
|Date Deposited:||11 May 2011 12:04|
|Last Modified:||02 Aug 2016 13:49|
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