plot.smm

Displays the densities for the conditional sojourn time
distributions depending on the current state <code>i</code> and on the next state
<code>j</code>.

Performs parametric and non-parametric estimation and simulation
for multi-state discrete-time semi-Markov processes. For the parametric
estimation, several discrete distributions are considered for the sojourn
times: Uniform, Geometric, Poisson, Discrete Weibull and Negative Binomial.
The non-parametric estimation concerns the sojourn time distributions,
where no assumptions are done on the shape of distributions. Moreover, the
estimation can be done on the basis of one or several sample paths, with or
without censoring at the beginning or/and at the end of the sample paths.
Reliability indicators such as reliability, maintainability, availability,
BMP-failure rate, RG-failure rate, mean time to failure and mean time to
repair are available as well. The implemented methods are described in
Barbu, V.S., Limnios, N. (2008) <doi:10.1007/978-0-387-73173-5>,
Barbu, V.S., Limnios, N. (2008) <doi:10.1080/10485250701261913> and
Trevezas, S., Limnios, N. (2011) <doi:10.1080/10485252.2011.555543>.
Estimation and simulation of discrete-time k-th order Markov chains are
also considered.

Nicolas Vergne

smmR

Simulation, Estimation and Reliability of Semi-Markov Models

Vlad Stefan Barbu

Florian Lecocq

Corentin Lothode

plot.smm function

<dl><dt>x</dt>
<dd>An object of S3 class <code>smm</code> (inheriting from the S3 class
smmnonparametric or smmparametric).</dd>
<dt>i</dt>
<dd>An element of the state space vector <code>x$states</code> giving the current
state in the following cases: <code>type.sojourn = "fij"</code> or <code>type.sojourn = "fi"</code>,
otherwise, <code>i</code> is ignored.</dd>
<dt>j</dt>
<dd>An element of the state space vector <code>x$states</code> giving the next
state in the following cases: <code>type.sojourn = "fij"</code> or <code>type.sojourn = "fj"</code>,
otherwise, <code>j</code> is ignored.</dd>
<dt>klim</dt>
<dd>An integer giving the limit value for which the density will be
plotted. If <code>klim</code> is <code>NULL</code>, then quantile or order 0.95 is used.</dd>
<dt>...</dt>
<dd>Arguments passed to plot.</dd></dl>

Arguments

Plot function for an object of class smm — plot.smm

<dl>

<dt>x</dt>
<dd>An object of S3 class <code>smm</code> (inheriting from the S3 class
smmnonparametric or smmparametric).</dd>


<dt>i</dt>
<dd>An element of the state space vector <code>x$states</code> giving the current
state in the following cases: <code>type.sojourn = "fij"</code> or <code>type.sojourn = "fi"</code>,
otherwise, <code>i</code> is ignored.</dd>


<dt>j</dt>
<dd>An element of the state space vector <code>x$states</code> giving the next
state in the following cases: <code>type.sojourn = "fij"</code> or <code>type.sojourn = "fj"</code>,
otherwise, <code>j</code> is ignored.</dd>


<dt>klim</dt>
<dd>An integer giving the limit value for which the density will be
plotted. If <code>klim</code> is <code>NULL</code>, then quantile or order 0.95 is used.</dd>


<dt>...</dt>
<dd>Arguments passed to plot.</dd>

</dl>

plot.smm: Plot function for an object of class smm

Description

Usage

Value

Arguments