In presence of gross errors (blunders) in the observations, we derive the distributions of some stati-stics defined after a least squares (LS) adjustment. Quadratic forms of the LS residuals and LS esti-mates of the blunders are considered along with some their combinations. We demonstrate, in two different ways, that the difference between the quadratic form of the LS residuals and the quadratic form of the LS estimates of the blunders has a central chi square distribution, while each of...
Distribution of some statistics in the presence of blunders in geodetic observations
CROCETTO, Nicola;
2005
Abstract
In presence of gross errors (blunders) in the observations, we derive the distributions of some stati-stics defined after a least squares (LS) adjustment. Quadratic forms of the LS residuals and LS esti-mates of the blunders are considered along with some their combinations. We demonstrate, in two different ways, that the difference between the quadratic form of the LS residuals and the quadratic form of the LS estimates of the blunders has a central chi square distribution, while each of...File in questo prodotto:
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