MDBED (version 1.0.0)

dBED: Joint density function of the bivariate exponential distribution (BED) based on the Moran-Downton model

Description

Given the values of the parameters, this function provides the joint density value 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

dBED(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 PDF of the pair/s (x,y).

Details

The values of the joint density function are computed based on Eq.18 described in Nagao1971;textualMDBED.

References

Examples

# NOT RUN {
dBED(rho=0.85,Betax=1,Betay=1,x=0.6,y=0.8)

# }