pBED {MDBED} | R Documentation |
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. |
Details
The values of the joint density function are computed based on Eq.10.54 described in Balakrishna and Lai (2009).
Value
The value of the joint CDF of the pair/s (x,y).
Author(s)
Luis F. Duque <lfduquey@gmail.com> <l.f.duque-yaguache2@newcastle.ac.uk>
References
Balakrishna N, Lai CD (2009). Continuous bivariate distributions, Second edition. Springer Science \& Business Media, New York. ISBN 9780387096131, doi: 10.1007/b101765.
Examples
pBED(rho=0.85,Betax=1,Betay=1, x=0.6,y=0.8)