Congdon argued that the use of parametric modelling of mortality data is ne
cessary in many practical demographical problems. In this paper, we focus o
n a form of model introduced by Heligman and Pollard in 1980, and we adopt
a Bayesian analysis, using Markov chain Monte Carlo simulation, to produce
the posterior summaries required. This opens the way to richer, more flexib
le inference summaries and avoids the numerical problems that are encounter
ed with classical methods. Particular methodologies to cope with incomplete
life-tables and a derivation of joint lifetimes, median times to death and
related quantities of interest are also presented.