FbivgeomRoy {bivgeom}

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)

Author(s)

Alessandro Barbiero

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

theta1 <- 0.5
theta2 <- 0.7
theta3 <- 0.9
# probability that X<=2 and Y<=3:
FbivgeomRoy(2, 3, theta1, theta2, theta3)