Reliability functions
Hazard rate function
[top]
[example]
The hazard rate function hrf is defined in terms of the distribution's pdf and cdf as
hrf(x,
q
) = pdf(x,
q
) / (1 - cdf(x,
q
))
In the BUGS language the notation is as follows
h <- hrf(x0, x1)
Where the first argument must be a variable in the model defined by a univariate distribution and the second argument is a scalar. The first argument provides two kinds of information: which
distribution to calculate the hazard rate function for and the values of its parameters
q
(the values
associated with the relation for x0). The second argument is the value of x at which the hazard rate function should be calculated. The two arguments x0 and x1 can be identical.
Reliability function
[top]
[example]
The reliability function R is defined in terms of the distribution's cdf as
R(x,
q
) = (1 - cdf(x,
q
))
In the BUGS language the notation is as follows
r <- R(x0, x1)
Where the first argument must be a variable in the model defined by a univariate distribution and the second argument is a scalar. The first argument provides two kinds of information: which
distribution to calculate the reliability function for and the values of its parameters
q
(the values
associated with the relation for x0). The second argument is the value of x at which the reliability function should be calculated. The two arguments x0 and x1 can be identical.