A Research Note on the Estimated Incapability Index
Gu-Hong Lin (2009)
The Yugoslav Journal of Operations Research
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Gu-Hong Lin (2009)
The Yugoslav Journal of Operations Research
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Daniel Commenges (2003)
SORT
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We consider the mixed dicrete-continuous pattern of observation in a multi-state model; this is a classical pattern because very often clinical status is assessed at discrete visit times while time of death is observed exactly. The likelihood can easily be written heuristically for such models. However a formal proof is not easy in such observational patterns. We give a rigorous derivation al the likelihood for the illness-death model based on applying Jacod´s formula to an observed...
Daley, D.J., Servi, L.D. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Dshalalow, Jewgeni H. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Abolnikov, Lev, Dshalalow, Jewgeni H. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Abolnikov, Lev, Dshalalow, Jewgeni H., Dukhovny, Alexander M. (1994)
International Journal of Mathematics and Mathematical Sciences
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Freidlin, Mark, Pfeiffer, Ruth (1999)
Mathematical Problems in Engineering
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Igor Vajda (1990)
Kybernetika
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Abolnikov, Lev, Dshalalow, Jewgeni H., Dukhovny, Alexander M. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Petr Volf (2000)
Kybernetika
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The notion of the counting process is recalled and the idea of the ‘cumulative’ process is presented. While the counting process describes the sequence of events, by the cumulative process we understand a stochastic process which cumulates random increments at random moments. It is described by an intensity of the random (counting) process of these moments and by a distribution of increments. We derive the martingale – compensator decomposition of the process and then we study the estimator...