FyxbivgeomRoy {bivgeom}

Conditional distribution

Description

Conditional distribution function of Y given X=x

Usage

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

Arguments

y

vector of observations from Y

theta1

paramater \theta_1

theta2

paramater \theta_2

theta3

paramater \theta_3

x

value of the conditioning variable X

Value

The value of the conditional cumulative distribution function F_{Y|x} in y. Used in rbivgeomRoy for conditional sampling

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

EyxbivgeomRoy, rbivgeomRoy

Examples

theta1 <- 0.5
theta2 <- 0.7
theta3 <- 0.9
# probability that Y<=3 given that X=2:
FyxbivgeomRoy(3, theta1, theta2, theta3, 2)
# the unconditional probability would be
pgeom(3, 1-theta2) # i.e. a geometric distribution with parameter 1-theta2