Classes of two- and three-parameter multiplicative intensities models
are presented. These have the advantage that they can be simply fitted
by standard software. The two-parameter models include the Weibull an
d extreme value models, whereas the three-parameter models can have ba
thtub-shaped forms. The bus motor failure data are reanalysed to show
that all five failures of the 191 buses can be adequately described by
the same two-parameter multiplicative intensity model based on the sq
uared logarithm of distance travelled in service since previous repair
. This is a new member of the multiplicative intensity family, based o
n the squared logarithm of distance, or of time for survival data.