Fast Algorithm for Choosing Blur Coefficients in Multidimensional Kernel Probability Density Estimates

被引：3

作者：

Lapko, A. V. ^{[1
,2
]}

Lapko, V. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk, Russia

[2] Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk, Russia

来源：

MEASUREMENT TECHNIQUES | 2019年 / 61卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

non-parametric estimation of multidimensional probability density; choice of blur coefficients; Rosenblatt-Parzen estimate; fast optimization algorithm; asymptotic properties; multidimensional data analysis; BANDWIDTH SELECTION; CROSS-VALIDATION;

D O I：

10.1007/s11018-019-01536-x

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A method is proposed for quickly choosing the blur coefficients of kernel functions in a non-parametric estimate of a multidimensional probability density of Rosenblatt-Parzen type. The technique is based on the analysis of the asymptotic properties of a multidimensional probability density estimate. The properties of the fast algorithm for choosing the blur coefficients of a kernel probability density estimate are investigated.

引用

页码：979 / 986

页数：8

共 44 条

[1] Fast Algorithm for Choosing Blur Coefficients in Multidimensional Kernel Probability Density Estimates
A. V. Lapko
V. A. Lapko
Measurement Techniques, 2019, 61 : 979 - 986
[2] Fast Algorithm for Choosing Kernel Function Blur Coefficients in a Nonparametric Probability Density Estimate
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[3] Modified Algorithm for Rapid Choice of Spread Coefficients for Kernel Estimates of Multidimensional Probability Densities
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[4] Modified Algorithm for Rapid Choice of Spread Coefficients for Kernel Estimates of Multidimensional Probability Densities
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[5] Fast Selection of Blur Coefficients in a Multidimensional Nonparametric Pattern Recognition Algorithm
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[6] Fast Selection of Blur Coefficients in a Multidimensional Nonparametric Pattern Recognition Algorithm
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[7] Quick Selecting Kernel Blur Coefficients to Estimate Probability Density for Independent Random Variables
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[8] Quick Selecting Kernel Blur Coefficients to Estimate Probability Density for Independent Random Variables
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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING, 2022, 58 (01) : 24 - 29
[9] Selection of the Blur Coefficient for Probability Density Kernel Estimates Under Conditions of Large Samples
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Measurement Techniques, 2019, 62 : 383 - 389
[10] SELECTION OF THE BLUR COEFFICIENT FOR PROBABILITY DENSITY KERNEL ESTIMATES UNDER CONDITIONS OF LARGE SAMPLES
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MEASUREMENT TECHNIQUES, 2019, 62 (05) : 383 - 389

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