CountingCor: Correlation between the counting variables in two point... In IndTestPP: Tests of Independence and Analysis of Dependence Between Point Processes in Time

Description

This function calculates the correlation coefficient between the number of points in intervals of length ll, in two point processes.

Usage

 ```1 2``` ```CountingCor(posx, posy, ll, T, method='spearman', lambdax=NULL, lambday=NULL) ```

Arguments

 `posx` Numeric vector. Occurrence times of the points in the first point process. `posy` Numeric vector. Occurrence times of the points in the second point process. `ll` Numeric value. Lenght of the intervals where the number of points are counted. `T` Numeric value. Length of the observed period of the point processes. `method` Character string. Correlation coefficient to be calculated. One of "pearson", "kendall", or "spearman"; see `cor.test` for definitions. `lambdax` Numeric vector. Intensity vector of the first point process. `lambday` Numeric vector. Intensity vector of the second point process.

Details

This function calculates ρ_{xy,I_l}=Cor(X_{I_l}, Y_{I_l}), where X_{I_l} and Y_{I_l} are the number of points in an interval I_l in processes N_x and N_y, respectively.

In order to calculate the number of points in each interval in a process, the function `CountP` is used.

Value

 `ccor` Estimated correlation.

`depchi`,`BinPer`
 ```1 2 3 4 5``` ```#generation of two HPP aux1<-simNHPc(lambda=rep(0.08,200),fixed.seed=123) aux2<-simNHPc(lambda=rep(0.12,200),fixed.seed=125) CountingCor(aux1\$posNH, aux2\$posNH,ll=20, method="kendall",T=200) ```