bivgeom (version 1.0)

FbivgeomRoy: Joint distribution function

Description

Joint cumulative distribution function for Roy's bivariate geometric model

Usage

FbivgeomRoy(x, y, theta1, theta2, theta3)

Arguments

x

vector of values for the first variable \(X\)

y

vector of values for the second variable \(Y\)

theta1

paramater \(\theta_1\)

theta2

paramater \(\theta_2\)

theta3

paramater \(\theta_3\)

Value

The probability \(F(x,y):=P(X\leq x,Y\leq x)\)

References

Roy, D. (1993) Reliability measures in the discrete bivariate set-up and related characterization results for a bivariate geometric distribution, Journal of Multivariate Analysis 46(2), 362-373.

See Also

dbivgeomRoy, SbivgeomRoy

Examples

# NOT RUN {
theta1 <- 0.5
theta2 <- 0.7
theta3 <- 0.9
# probability that X<=2 and Y<=3:
FbivgeomRoy(2, 3, theta1, theta2, theta3)
# }