Let be a survival time with the density function ( ) = exp[ exp( )]. Showthat the survival time defined by log + has the Weibull distribution with exp(- /) and = 1/ by applying the density...

Let

be a survival time with the density function
(
) = exp[
exp(
)]. Showthat the survival time

defined by log


+
has the Weibull distribution with

exp(-
/) and

= 1/
by applying the density transformation rule in (11.2.11).

Let

be a survival time with the standard normal distribution
(0, 1). Showthat the survival time

defined by log

=

+

has the lognormal distribution by applying the density transformation rule in (11.2.11).