On geometric-optical projection of spatial particle size distribution
Vratislav Horálek (1985)
Kybernetika
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Vratislav Horálek (1985)
Kybernetika
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Ahmed El-Shehawy (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Mohamed A. El-Shehawey, Bakheet N. Al-Matrafi (1997)
Mathematica Slovaca
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G. S. Lingappaiah (1980)
Gaceta Matemática
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A. Chakak, L. Imhali (2003)
RACSAM
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For a random rotation X = M e where M is a 3 x 3 rotation, ε is a trivariate random vector, and φ(ε) is a skew symmetric matrix, the least squares criterion consists of seeking a rotation M called the mean rotation minimizing tr[(M - E(X)) (M - E(X))]. Some conditions on the distribution of ε are set so that the least squares estimator is unbiased. Of interest is when ε is normally distributed N(0;Σ). Unbiasedness of the least squares estimator is dealt with according to eigenvalues...