IndTestPP (version 3.0)

TranM: Estimation of the transition matrix of a Markov chain

Description

It estimates the transition matrix of a Makov chain to model the dependence between the discrete marks of a marked point process. The estimator is the MLE based on count data.

Usage

TranM(marcas = NULL, d = NULL, vecpro = NULL)

Arguments

marcas

Integer vector. It contains the discrete marks of the marked point process. The order of the marks in the vector must correspond to the points in the process sorted over time.

d

Integer. Number of states of the Markov chain, that is the number of different marks of the marked point process.

vecpro

A list with d elements. Element "i" of the list must be a vector including the occurrence times of the points in the marked point process with marks equal to "i".

Value

prob

The estimated transition matrix of probabilities.

Details

The input of this function must be a marked point process. It can be defined by the sequence of marks of all the points in the process (arguments marcas and d), or alternatively by a vector of d point processes (argument vecpro). If marcas or d are NULL, vecpro must be provided. If they are not NULL, they are used to define the marked Poisson process.

See Also

DepNHPPMarked

Examples

# NOT RUN {
TranM(marcas = c(1,3,3,2,1,2,1,1), d = 3)

TranM(vecpro=list(n1=c(2,7,9,23), n2=c(4,5,21), n3=c(2,8,9,12,16)))
# }