Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups

被引:72
作者
Crocetto, N
Gatti, M
Russo, P
机构
[1] Univ Ferrara, Inst Engn, I-44100 Ferrara, Italy
[2] Univ Naples 2, Fac Engn, I-81031 Aversa, Ce, Italy
关键词
stochastic model; variance-covariance components; BIQUE;
D O I
10.1007/s001900000109
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
General rigorous and simplified formulae are reported for the best invariant quadratic unbiased estimates of the variance-covariance components, which can be applied to all least-squares adjustments with the general linear stochastic model. Simplified procedures are given for two cases frequently recurring in geodetic applications: uncorrelated groups of correlated or uncorrelated observations, with more than one variance component in each group.
引用
收藏
页码:447 / 457
页数:11
相关论文
共 24 条
  • [1] AN ALGEBRAIC-SOLUTION OF THE GPS EQUATIONS
    BANCROFT, S
    [J]. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1985, 21 (01) : 56 - 59
  • [2] Barbarella M, 1983, B GEOD SCI AFFINI, VXLII, P317
  • [3] CASPARY WF, 1987, SCH SURVEYING, P97
  • [4] CROCETTO N, 1997, MIN GEOD SPAZ NEL ME
  • [5] CROCETTO N, 1996, ATT 15 CONV ANN GRUP, P171
  • [6] Forstner W., 1979, AVN 11- 12/1979, P446
  • [7] Grafarend E. W., 1984, ZFV, V1, P109
  • [8] GRUENDIG L, 1985, PREC ENG DEF SURV WO, P30
  • [9] Helmert F.R., 1924, Die Ausgleichungsrechnung nach der Methode der Kleinsten Quadrate: mit Anwendungen auf die Geodasie, die Physik und die Theorie der Messinstrumente
  • [10] Koch K.-R., 1988, Manuscripta Geodaetica, V13, P370