In this paper we present theoretical simulations concerning the luminosity
function of cluster WDs, computed under various assumptions about cluster a
ge and IMF. Quantitative evaluations are discussed, showing that the WD coo
ling sequence can be divided into a portion at large luminosity where the d
istribution depends on cooling times only, and a narrow interval of luminos
ities at the bottom of the sequence that gives information about both clust
er age and IMF Detailed theoretical predictions are reported for a range of
cluster ages covering the current estimates for the ages of globular and o
ld galactic clusters, discussing theoretical expectations concerning the nu
mber ratio of WD to HB stars as a function of both cluster age and IMF Fina
lly, we discuss old galactic clusters as relevant targets for future observ
ations.