Asymptotically minimax estimation of order-constrained parameters and eigenfunctions of the laplacian on the ball
Adam Korányi, K. Brenda MacGibbon (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Adam Korányi, K. Brenda MacGibbon (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Jean Bretagnolle, Jan Mielniczuk (1989)
Annales de l'I.H.P. Probabilités et statistiques
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S Loukas (1991)
Applicationes Mathematicae
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S. Trybuła (1987)
Applicationes Mathematicae
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Jan Hurt, Petr Lachout, Dietmar Pfeifer (2001)
Kybernetika
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In this paper we consider the problem of estimating the intensity of a spatial homogeneous Poisson process if a part of the observations (quadrat counts) is censored. The actual problem has occurred during a court case when one of the authors was a referee for the defense.
Sotirios Loukas, Evgenia H. Papageorgiou (1991)
Applications of Mathematics
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A four parameter trivariate Poisson distribution is considered. Recurrences for the probabilities and the partial derivatives of the probabilities with respect to the parameters are derived. Solutions of the maximum likelihood equations are obtaired and the determinant of their asymptotic covariance matrix is given. Applications of the maximum likelihood estimation technique to simulated data sets are also examined.