Class "markovchainList"

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Description

A class to handle non - homogeneous Markov chains

Objects from the Class

A markovchainlist is a list of markovchain objects. They can be used to model non - homogeneous discrete time Markov Chains, when transition probabilities (and possible states) change by time.

Slots

markovchains:

Object of class "list": a list of markovchains

name:

Object of class "character": optional name of the class

Methods

[[

signature(x = "markovchainList"): extract the i-th markovchain

dim

signature(x = "markovchainList"): number of markovchain underlying the matrix

predict

signature(object = "markovchainList"): predict from a markovchainList

print

signature(x = "markovchainList"): prints the list of markovchains

show

signature(object = "markovchainList"): same as print

Note

The class consists in a list of markovchain objects. It can help to deal with non - homogeneous Markov chains.

Author(s)

Giorgio Spedicato

References

A First Course in Probability (8th Edition), Sheldon Ross, Prentice Hall 2010

See Also

markovchain

Examples

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showClass("markovchainList")
#define a markovchainList
statesNames=c("a","b")

mcA<-new("markovchain",name="MCA", transitionMatrix=matrix(c(0.7,0.3,0.1,0.9),
byrow=TRUE, nrow=2, dimnames=list(statesNames,statesNames)))

mcB<-new("markovchain", states=c("a","b","c"), name="MCB",
transitionMatrix=matrix(c(0.2,0.5,0.3,0,1,0,0.1,0.8,0.1),
nrow=3, byrow=TRUE))

mcC<-new("markovchain", states=c("a","b","c","d"), name="MCC",
  	transitionMatrix=matrix(c(0.25,0.75,0,0,0.4,0.6,
    0,0,0,0,0.1,0.9,0,0,0.7,0.3), nrow=4, byrow=TRUE)
)
mcList<-new("markovchainList",markovchains=list(mcA, mcB, mcC), 
name="Non - homogeneous Markov Chain")

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