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A fast non-parametric density estimation algorithm
Journal article   Peer reviewed

A fast non-parametric density estimation algorithm

Ömer Eğecioğlu and Ashok Srinivasan
Communications in Numerical Methods in Engineering, Vol.13, pp.755-763
13
1997

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Abstract

Non-parametric density estimation is the problem of approximating the values of a probability density function, given samples from the associated distribution. Non-parametric estimation finds applications in discriminant analysis, cluster analysis, and flow calculations based on Smoothed Particle Hydrodynamics. Usual estimators make use of kernel functions, and require on the order of n² arithmetic operations to evaluate the density at n sample points. We describe a sequence of special weight functions which requires almost linear number of operations in n for the same computation.

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