pBED: Joint CDF of the bivariate exponential distribution (BED) based on the Moran-Downton model
Description
Given the values of the parameters, this function provides the value of the joint CDF of the BED for a positive pair or pairs
(x,y). The required inputs are the correlation coefficient, the scale parameters of the marginal distributions, and the pair/s (x,y).
Usage
pBED(rho,Betax,Betay,x,y)
Arguments
rho
Correlation coefficient between the marginal distributions of x and y.
Betax
Scale parameter of the marginal distribution of x.
Betay
Scale parameter of the marginal distribution of y.
x
A value or set of values (vector) of the marginal distribution of x. It must be the same size of y.
y
A value or set of values (vector) of the marginal distribution of y. It must be the same size of x.
Value
The value of the joint CDF of the pair/s (x,y).
Details
The values of the joint density function are computed based on Eq.10.54 described in Balakrishna2009;textualMDBED.