Statistical estimation of parameters in Markov processes
O. Lange (1955)
Colloquium Mathematicae
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O. Lange (1955)
Colloquium 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.
Jan Hurt, Wiltrud Kuhlisch (1995)
Kybernetika
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Stoimenova, Vessela (2005)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 60J80. The paper deals with a robust parametric estimation in branching processes {Zt(n)} having a random number of ancestors Z0(n) as both n and t tend to infinity (and thus Z0(n) in some sense). The offspring distribution is considered to belong to a discrete analogue of the exponential family – the class of the power series offspring distributions. Robust estimators, based on one and several sample paths, are proposed and studied...