The joint distribution of the binary digits of integer multiples
Johannes Schmid (1984)
Acta Arithmetica
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Johannes Schmid (1984)
Acta Arithmetica
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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...
Johannes Sjöstrand (1994)
Annales de l'institut Fourier
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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.
Jonas Gustavsson (2005)
Annales de l'I.H.P. Probabilités et statistiques
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J. Radecki (1962)
Studia Mathematica
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Andrzej Schinzel (1973)
Acta Arithmetica
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A. Bazylewicz (1976)
Acta Arithmetica
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