Multi-stage nonparametric estimation of density function using orthonormal systems

Wen-Qi Liang and P. R. Krishnaiah

Journal of Multivariate Analysis, 1985, vol. 17, issue 2, 228-241

Abstract: In this note, the authors propose a new nonparametric method of estimation of density using orthonormal systems iteratively. The asymptotic mean integrated square error of the estimate at each stage is less than or equal to that of the preceding stage. The new estimate is better, in some cases, than the traditional estimate based upon orthonormal functions from the point of view of the mean integrated square error in the limit.

Keywords: pattern; recognition; reliability; survival; analysis; orthonormal; systems; estimation; of; density; nonparametric; methods (search for similar items in EconPapers)
Date: 1985
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