ABSTRACT

If f is M7'P2 then it is also TP2 771, pairs. But, if tlie support of f is a protluct spacc them f is A.ITPL if itrid only if it is ' / 'P2 in p n i m jKcrnper~~iitri (1977) and Block a r d Ti l~g (1981)j. We say that :t sequellce of ritndorrr vilriiihlcs XI , ... . , X,, is M'l'PL (resp. 7'122 ,in pui?:s) if its joint density fiulction is M2"P2 (rcsp. 7'23 in pairs) . We will assume that the support of the joii~t tlcrrsity f i ~ ~ ~ c t i o n s is a protluct space.