The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1
Jerzy Sawa (1985)
Studia Mathematica
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Jerzy Sawa (1985)
Studia Mathematica
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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...
Annamaria Montanari, Daniele Morbidelli (2004)
Annales de l’institut Fourier
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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
N. Ortner, P. Wagner (1995)
Annales de l'I.H.P. Physique théorique
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Johannes Schmid (1984)
Acta Arithmetica
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H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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