Computational scheme for invariantly unbiased estimation of linear operators in a given class

被引:0
|
作者
Yu. G. Bulychev
A. V. Eliseev
机构
[1] Rostov Military Institute of Missile Forces,
关键词
estimation of linear operators; invariance of linear estimates; least squares method; computational algorithm; statistical methods for error estimation;
D O I
暂无
中图分类号
学科分类号
摘要
The values of linear operators of a given class are estimated in the case of measurements including piecewise continuous noise of deterministic structure with unknown parameters. A computational scheme producing unbiased linear estimates that are invariant under the noise is developed. An illustrative example is presented.
引用
收藏
页码:549 / 560
页数:11
相关论文
共 50 条
  • [21] A new class of unbiased linear estimators in systematic sampling
    Kocyigit, Eda Gizem
    Cingi, Hulya
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2017, 46 (02): : 315 - 323
  • [22] UNBIASED ESTIMATE WITH MINIMAL VARIANCE IN CLASS OF LINEAR ESTIMATES
    SHAGDAR, D
    THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (01): : 132 - &
  • [23] Multi-linear operators given by singular multipliers
    Muscalu, C
    Tao, T
    Thiele, C
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 15 (02) : 469 - 496
  • [24] Unbiased parameter estimation of linear systems operating under linear feedback
    Zheng, WX
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 1411 - 1412
  • [25] 2 LINEAR-PROGRAMMING ALGORITHMS FOR UNBIASED ESTIMATION OF LINEAR MODELS
    SIELKEN, RL
    HARTLEY, HO
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1973, 68 (343) : 639 - 641
  • [26] On Bayes linear unbiased estimation of estimable functions for the singular linear model
    Zhang, WP
    Wei, LS
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (07): : 898 - 903
  • [27] On Bayes linear unbiased estimation of estimable functions for the singular linear model
    ZHANG Weiping & WEI Laisheng Department of Statistics and Finance
    Science China Mathematics, 2005, (07) : 898 - 903
  • [28] Linear unbiased estimation for regression models with stationary noise
    Poix, J
    Solev, VN
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (01): : 55 - 60
  • [29] Unbiased bootstrap error estimation for linear discriminant analysis
    Vu Thang
    Sima, Chao
    Braga-Neto, Ulisses M.
    Dougherty, Edward R.
    EURASIP JOURNAL ON BIOINFORMATICS AND SYSTEMS BIOLOGY, 2014, (01) : 1 - 14
  • [30] On Bayes linear unbiased estimation of estimable functions for the singular linear model
    Zhang Weiping
    Wei Laisheng
    Science in China Series A: Mathematics, 2005, 48 (7): : 898 - 903