FyxbivgeomRoy {bivgeom} R Documentation

## 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 θ_1 `theta2` paramater θ_2 `theta3` paramater θ_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
```

[Package bivgeom version 1.0 Index]