transfH.fun: Transform a NHPP into a HPP
In NHPoisson: Modelling and Validation of Non Homogeneous Poisson Processes

Description Usage Arguments Details Value References See Also Examples

This function transforms the points t^{NH}_i of a NHPP into the occurrence points t^{H}_i of a HPP of rate 1.

1	transfH.fun(mlePP)

mlePP

An object of class mlePP-class; usually, the output from fitPP.fun.

Transformation of the NHPP points t^{NH}_i into the HPP points t^{H}_i is based on the time scale transformation,

t^H_i=\int_0^{t^{NH}_i}λ(t)dt.

(usually the estimated value \hat λ(t) is used in the transformation.)

A list with elements

`posEH`	Numeric vector of the transformed occurrence times of the HPP.
`posE`	Slot of the input argument mlePP.
`lambdafit`	Slot of the input argument mlePP.
`inddat`	Slot of the input argument mlePP.

Cebrian, A.C., Abaurrea, J. and Asin, J. (2015). NHPoisson: An R Package for Fitting and Validating Nonhomogeneous Poisson Processes. Journal of Statistical Software, 64(6), 1-24.

Cox, D.R., Isham, V., 1980. Point Processes. Chapman and Hall.

Daley, D. and D. Vere-Jones (2003). An Introduction to the Theory of Point Processes. Springer.

simNHP.fun

X1<-rnorm(500)
X2<-rnorm(500)
auxmlePP<-fitPP.fun(posE=round(runif(50,1,500)), inddat=rep(1,500),
	covariates=cbind(X1,X2),start=list(b0=1,b1=0,b2=0))


posEH<-transfH.fun(auxmlePP)