Volume and variance in the linear statistical model

被引:1
|
作者
Araújo, IC
de Oliveira, MP
机构
[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
[2] Univ Sao Paulo, Dept Comp Engn, BR-05508 Sao Paulo, Brazil
关键词
least square solutions; variance matrix;
D O I
10.1016/S0024-3795(02)00440-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop a simple expression for the variance of each individual element in the least squares solution of a linear statistical system using some geometric arguments. From that result, lower bounds for the variances are obtained, provided that the length of each matrix column is kept within a known range. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:303 / 306
页数:4
相关论文
共 50 条
  • [21] On testing variance components in unbalanced mixed linear model
    Širková L.
    Witkovský V.
    Applications of Mathematics, 2001, 46 (3) : 191 - 213
  • [22] A VARIANCE BOUNDS TEST OF THE LINEAR QUADRATIC INVENTORY MODEL
    WEST, KD
    JOURNAL OF POLITICAL ECONOMY, 1986, 94 (02) : 374 - 401
  • [23] Sequential Monitoring Variance Change in Linear Regression Model
    Zhan Shou CHEN1
    2. State Key Laboratory of Remote Sensing Science
    Journal of Mathematical Research with Applications, 2010, (04) : 610 - 618
  • [24] A Lower Bound on the Estimator Variance for the Sparse Linear Model
    Schmutzhard, Sebastian
    Jung, Alexander
    Hlawatsch, Franz
    Ben-Haim, Zvika
    Eldar, Yonina C.
    2010 CONFERENCE RECORD OF THE FORTY FOURTH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS AND COMPUTERS (ASILOMAR), 2010, : 1976 - 1980
  • [25] Variance estimation in the change analysis of a linear regression model
    M. Riedle
    J. Steinebach
    Metrika, 2001, 54 : 139 - 157
  • [26] ANOVA (ANalysis Of VAriance) and GLM(General Linear Model)
    不详
    SWINE HEALTH AND PRODUCTION, 1999, 7 (04): : 191 - 191
  • [27] A Modified Estimator of Error Variance in a Partly Linear Model
    Liang, H.
    Zhou, Y.
    1600, (27):
  • [28] Statistical inference in EV linear model
    Zhang, Chunxiu
    Yu, Ping
    Wang, Xiaofeng
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (02) : 346 - 363
  • [29] A variance components model for statistical inference on functional connectivity networks
    Fiecas, Mark
    Cribben, Ivor
    Bahktiari, Reyhaneh
    Cummine, Jacqueline
    NEUROIMAGE, 2017, 149 : 256 - 266
  • [30] Late Reverberant Spectral Variance Estimation Based on a Statistical Model
    Habets, Emanuel A. P.
    Gannot, Sharon
    Cohen, Israel
    IEEE SIGNAL PROCESSING LETTERS, 2009, 16 (09) : 770 - 773