Using Richardson Extrapolation to Improve the Accuracy of Processing and Analyzing Empirical Data

被引：0
|
作者：
O. A. Popova
机构：
[1] Siberian Federal University,
来源：
Measurement Techniques | 2019年 / 62卷
关键词：
kernel estimates; accuracy improvement; Richardson extrapolation; Runge rule; estimates of the derivatives of probability density functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate properties of empirical data under random uncertainty. A new approach is proposed to improve the accuracy of constructing a probability density function and estimating its error. The method uses Richardson extrapolation and Runge rules for kernel estimates with various smoothing options. It is shown that the application of the Runge rules enables evaluating the error of kernel estimates for a probability density function and the value of its second derivative.
引用
收藏
页码：111 / 117
页数：6
相关论文
共 50 条
  • [21] Estimating the Accuracy of Relative Growth Measures Using Empirical Data
    Castellano, Katherine E.
    McCaffrey, Daniel F.
    JOURNAL OF EDUCATIONAL MEASUREMENT, 2020, 57 (01) : 92 - 123
  • [22] Improve accuracy of empirical models with multiple models
    Zhang, YP
    Fan, MH
    PHOTOMASK AND NEXT-GENERATION LITHOGRAPHY MASK TECHNOLOGY X, 2003, 5130 : 698 - 709
  • [23] Using Genetic Algorithm to Improve Classification Accuracy on Imbalanced Data
    Cervantes, Jair
    Li, Xiaoou
    Yu, Wen
    2013 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC 2013), 2013, : 2659 - 2664
  • [24] High Order of Accuracy for Poisson Equation Obtained by Grouping of Repeated Richardson Extrapolation with Fourth Order Schemes
    da Silva, Luciano Pereira
    Rutyna, Bruno Benato
    Santos Righi, Aline Roberta
    Villela Pinto, Marcio Augusto
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2021, 128 (02): : 699 - 715
  • [25] A data processing method to improve the accuracy of depth measurement by binocular stereo vision system
    Tang, Jia
    Zhang, Ming
    Wang, Liqiang
    OPTICAL METROLOGY AND INSPECTION FOR INDUSTRIAL APPLICATIONS II, 2012, 8563
  • [26] Design of second order digital differentiator using Richardson extrapolation and fractional delay
    Tseng, Chien-Cheng
    Lee, Su-Ling
    PROCEEDINGS OF 2008 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-10, 2008, : 1120 - +
  • [27] High-order TVB discretizations in time using Richardson's extrapolation
    Amat, S.
    Busquier, S.
    Gomez, M. A.
    Manzano, F.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (12) : 1625 - 1634
  • [28] Using Richardson extrapolation techniques to price American options with alternative stochastic processes
    Chang C.-C.
    Lin J.-B.
    Tsai W.-C.
    Wang Y.-H.
    Review of Quantitative Finance and Accounting, 2012, 39 (3) : 383 - 406
  • [29] n+1 Integration scheme for polygonal elements using Richardson extrapolation
    Vengatesan, S.
    Natarajan, Sundararajan
    Jeyakarthikeyan, P. V.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 205 : 659 - 677
  • [30] Measuring, Processing, and Analyzing Hysteresis Data
    Paterson, Greig A.
    Zhao, Xiang
    Jackson, Mike
    Heslop, David
    GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS, 2018, 19 (07): : 1925 - 1945
12345