2020
DOI: 10.3390/a13070164
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Nonparametric Estimation of Continuously Parametrized Families of Probability Density Functions—Computational Aspects

Abstract: We consider a rather general problem of nonparametric estimation of an uncountable set of probability density functions (p.d.f.’s) of the form: f ( x ; r ) , where r is a non-random real variable and ranges from R 1 to R 2 . We put emphasis on the algorithmic aspects of this problem, since they are crucial for exploratory analysis of big data that are needed for the estimation. A specialized learning algorithm, based on the 2D FFT, is proposed and tested on observations that allo… Show more

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Cited by 4 publications
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“…Nonparametric approach to analysis and modelling of various systems one may found e.g. in [34,35,38,39,40]. Edge detection technique based on Parzen kernel estimate has also been described by Qiu in [32,33].…”
Section: A Brief Overview Of the Methodologies Used To Datementioning
confidence: 99%
“…Nonparametric approach to analysis and modelling of various systems one may found e.g. in [34,35,38,39,40]. Edge detection technique based on Parzen kernel estimate has also been described by Qiu in [32,33].…”
Section: A Brief Overview Of the Methodologies Used To Datementioning
confidence: 99%