ABSTRACT

ForanyneighborhoodVofP0 ,letc: 1>2c-2andletKo: 1 ,K2:,becontained inV.ThentheposteriorprobabilityofV'satisfies

JexpLlogp((/)II(dP) .//(\)i=l()I

exp~log~II(dP)

-L,exp[tlog~~;;)]II(dP) f1 11 (X1,X2,·..,X11 ) h"(XI,X2,···,Xn)(say)

Theuniformconvergencementionedin(ii)yields limsupe'"''h,=0a.s.P0 .