# Simulation, Estimation and Reliability of Semi-Markov Models

## Documentation for package ‘smmR’ version 1.0.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

smmR-package | smmR : Semi-Markov Models, Markov Models and Reliability
.failureRateBMP | BMP-Failure Rate Function
availability | Availability Function
convolution | Discrete-time convolution product of f and g (See definition 2.2 p. 20)
failureRate | Failure Rate Function
fitmm | Maximum Likelihood Estimation (MLE) of a k-th order Markov chain
fitsmm | Maximum Likelihood Estimation (MLE) of a semi-Markov chain
get.f | Method to get the conditional sojourn time distribution f
get.H | Function to compute the value of the sojourn time cumulative distribution H
get.Kpar | Method to get the number of parameters of a Markov or semi-Markov chain
get.limitDistribution | Method to get the limit (stationary) distribution
get.Niuj | Function giving the value of the counting process Niuj used in the estimation of the kernel and the transition matrix of censored and non-parametric semi-markov chains (cf. article Exact MLE and asymptotic properties for nonparametric semi-Markov models)
get.P | Method to compute the value of P
get.psi | Function to compute the value of the matrix-valued function psi
get.Py | Method to compute the value of P_{Y}
get.qy | Method to get the semi-Markov kernel q_{Y}
get.stationaryDistribution | Method to get the stationary distribution
getKernel | Method to get the semi-Markov kernel q
getProcesses | Function to compute processes based on a list of sequences
is.mm | Function to check if an object is of class 'mm'
is.mmfit | Function to check if an object is of class 'mmfit'
is.smm | Function to check if an object is of class 'smm'
is.smmfit | Function to check if an object is of class 'smmfit'
is.smmnonparametric | Function to check if an object is of class 'smmnonparametric'
is.smmparametric | Function to check if an object is of class 'smmparametric'
maintainability | Maintainability Function
matrixConvolution | Discrete-time matrix convolution product (See definition 3.5 p. 48)
meanRecurrenceTimes | Method to get the mean recurrence times mu
meanSojournTimes | Mean Sojourn Times Function
mm | Markov model specification
mttf | Mean Time To Failure (MTTF) Function
mttr | Mean Time To Repair (MTTR) Function
plot.smm | Plot function for an object of class smm
plot.smmfit | Plot function for an object of class smmfit
reliability | Reliability Function
setSeed | Set the RNG Seed from within Rcpp
simulate.mm | Simulates k-th order Markov chains
simulate.mmfit | Simulates Markov chains
simulate.smm | Simulates semi-Markov chains
simulate.smmfit | Simulates semi-Markov chains
smmnonparametric | Non-parametric semi-Markov model specification
smmparametric | Parametric semi-Markov model specification
smmR | smmR : Semi-Markov Models, Markov Models and Reliability