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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Details
Title
A fast non-parametric density estimation algorithm
Publication Details
Communications in Numerical Methods in Engineering, Vol.13, pp.755-763
Resource Type
Journal article
Publisher
John Wiley & Sons, Ltd.; United Kingdom
Series
13
Copyright
1997 John Wiley & Sons, Ltd.
Identifiers
99380090781906600
Academic Unit
Computer Science; Hal Marcus College of Science and Engineering