▁the ▁class ▁of ▁super mart ing ales ▁for ▁which ▁his ▁unique ▁decomposition ▁theorem ▁applied . ▁ ▁Class ▁D ▁super mart ing ales ▁A ▁c à dl à g ▁super mart ing ale ▁ ▁is ▁of ▁Class ▁D ▁if ▁ ▁and ▁the ▁collection ▁ ▁is ▁uniformly ▁integra ble . ▁ ▁The ▁theorem ▁ ▁Let ▁ ▁be ▁a ▁cad lag ▁super mart ing ale ▁of ▁class ▁D . ▁Then ▁there ▁exists ▁a ▁unique , ▁increasing , ▁predict able ▁process ▁ ▁with ▁ ▁such ▁that ▁ ▁is ▁a ▁uniformly ▁integra ble ▁mart ing ale . ▁ ▁See ▁also ▁Do ob ▁decomposition ▁theorem ▁ ▁Notes ▁ ▁References ▁ ▁Category : Mart ing ale ▁theory ▁Category : Stat ist ical ▁the or ems ▁Category : Pro b ability ▁the or ems <0x0A> </s> ▁Thomas ▁Patrick ▁He aly ▁( 1 9 ▁April ▁ 1 8 9 4 ▁– ▁ 1 2 ▁April ▁ 1 9 5 7 ) ▁was ▁a ▁Liberal ▁party ▁member ▁of ▁the ▁House ▁of ▁Commons ▁of ▁Canada . ▁He ▁was ▁born ▁in ▁Montreal , ▁Quebec ▁and ▁became ▁a ▁cart age ▁contract or ▁and ▁manager , ▁particularly ▁of ▁He aly ▁Brothers ▁Ltd . ▁ ▁He aly ▁became ▁a ▁Montreal ▁city ▁al der man ▁in ▁a ▁ 1 9 3 8 ▁by - e lection . ▁He ▁was ▁re - elect ed ▁to ▁city ▁council ▁in ▁ 1 9 3 9 , ▁then ▁acc laimed ▁coun c ill or ▁in ▁ 1 9 4 2 , ▁ 1 9 4 4 , ▁ 1 9 4 7 ▁and