dsmmR - Estimation and Simulation of Drifting Semi-Markov Models
Performs parametric and non-parametric estimation and
simulation of drifting semi-Markov processes. The definition of
parametric and non-parametric model specifications is also
possible. Furthermore, three different types of drifting
semi-Markov models are considered. These models differ in the
number of transition matrices and sojourn time distributions
used for the computation of a number of semi-Markov kernels,
which in turn characterize the drifting semi-Markov kernel. For
the parametric model estimation and specification, several
discrete distributions are considered for the sojourn times:
Uniform, Poisson, Geometric, Discrete Weibull and Negative
Binomial. The non-parametric model specification makes no
assumptions about the shape of the sojourn time distributions.
Semi-Markov models are described in: Barbu, V.S., Limnios, N.
(2008) <doi:10.1007/978-0-387-73173-5>. Drifting Markov models
are described in: Vergne, N. (2008)
<doi:10.2202/1544-6115.1326>. Reliability indicators of
Drifting Markov models are described in: Barbu, V. S., Vergne,
N. (2019) <doi:10.1007/s11009-018-9682-8>. We acknowledge the
DATALAB Project
<https://lmrs-num.math.cnrs.fr/projet-datalab.html> (financed
by the European Union with the European Regional Development
fund (ERDF) and by the Normandy Region) and the HSMM-INCA
Project (financed by the French Agence Nationale de la
Recherche (ANR) under grant ANR-21-CE40-0005).