lambda2Roy {bivgeom} | R Documentation |
Bivariate failure rate λ_2
lambda2Roy(x, y, theta1, theta2, theta3)
x |
observation from the first variable |
y |
observation from the second variable |
theta1 |
paramater θ_1 |
theta2 |
paramater θ_2 |
theta3 |
paramater θ_3 |
It is defined as P(X≥q x,Y=y)/P(X≥q x,Y≥q y). For this model, λ_2(x,y)=1-θ_2θ_3^x
Value of the bivariate failure rate λ_2 for Roy's bivariate geometric model (Roy, 1993)
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 # bivariate failure rate lambda 2 # computed in x=1, y=2 x <- 1 y <- 2 lambda2Roy(x,y,theta1,theta2,theta3)