SbivgeomRoy {bivgeom} | R Documentation |
Joint survival function for Roy's bivariate geometric model
SbivgeomRoy(x, y, theta1, theta2, theta3)
x |
vector of observations from the first variable X |
y |
vector of observations from the second variable Y (same length as |
theta1 |
paramater θ_1 |
theta2 |
paramater θ_2 |
theta3 |
paramater θ_3 |
The probability P(X≥q x, Y≥q y. For this model it is equal to S(x,y)=θ_1^xθ_2^yθ_3^{xy}
Alessandro Barbiero
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.
theta1 <- 0.5 theta2 <- 0.7 theta3 <- 0.9 # probability that X>=2 and Y>=3: SbivgeomRoy(2, 3, theta1, theta2, theta3)