Zhang Fangren. The Statiscal Properties and Application of Least Squares Estimates of the Residuals[J]. Geomatics and Information Science of Wuhan University, 1990, 15(2): 91-99.
Citation: Zhang Fangren. The Statiscal Properties and Application of Least Squares Estimates of the Residuals[J]. Geomatics and Information Science of Wuhan University, 1990, 15(2): 91-99.
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The Statiscal Properties and Application of Least Squares Estimates of the Residuals

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  • The residualt of observations,derived from least squares estimation can be defined in a great variety of ways and they have different probability distributions.This paper deals with their probability distributions,properties and applications.The table for the critical value of the redundancy numbers ri=(QvP)ii and the standar-dized residuals ei are compiled.In addition,the independent residuals W=UTV and S=Dw-1/2W are derived by means of linear transformation.It is supposed that S can be used for the detection of gross errors,while the critieal value table carresponding to this test has been given.Finally,the adjustment for a trilateration network has been carried out,and the statis-fical tests have been performed by using a variety of the residuals obtained from the adustment.
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