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)

[Package MDBED version 1.0.0 Index]