DC8 LNDG AT WSSS; ATTEMPTED BRAKING WITH NO EFFECT; HYDROPLANING; WENT OFF END OF RWY.

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I WAS CAPT FROM RJTY TO WSSS. WE BLOCKED OUT FROM RJTY WITH A TKOF WT OF 330000 LBS. THE FLT PROCEEDED NORMALLY. AT 150 NM FROM SINGAPORE; ATIS WAS RECEIVED WITH LIGHT WINDS; A TSTM AT THE FIELD MOVING S AT 8 KTS; WINDSHEAR ADVISORY; WITH RWY 2L FOR LNDG. WE WERE ABOUT 25-30 MINS FROM LNDG. THE FO BRIEFED FOR LNDG ON RWY 2R AND LATER FOR RWY 2L; WHEN ATC GAVE US THAT RWY. HE ALSO BRIEFED FOR WINDSHEAR. WE WERE GIVEN A HOLD CLRNC FOR SPACING INTO WSSS. APCH CTL BEGAN TO GIVE US VECTORS AND ADVISED US OF A LNDG FOR RWY 20R. APCH CTL GAVE A FINAL VECTOR FOR LOC INTERCEPT; AND WE JOINED THE ILS LOC AT ABOUT 8 MI FROM TOUCHDOWN. THE FO CAPTURED THE GS AND THEN WE PUT ON OUR RAIN REMOVAL SYS FOR OUR WINDSHIELDS. THE FO FLEW A VERY STABILIZED APCH WITH BOTH LOC AND GS REMAINING CTRED AT 'V PROG' OF 148 KTS. THE TWR ADVISED OF 1000 MI VISIBILITY AND BRAKING ACTION FAIR TO POOR. AT 300 FT AGL; I BROKE OUT OF THE OVCST; AND I SAW THE APCH LIGHTS AND THE BEGINNING PORTION OF THE RWY AND RWY LIGHTS VERY CLRLY. I STATED I HAD THE APCH LIGHTS IN SIGHT. THE ACFT HAD DRIFTED VERY SLIGHTLY L OF COURSE; AND I TOLD THE FO TO TURN SLIGHTLY TO THE R TO GET EXACTLY CTRED OVER THE APCH LIGHTS. HE DID. AGAIN; I SAID I HAVE THE APCH LIGHTS AT 12 O'CLOCK POS. APCHING MINIMUMS; THE FO STATED HE DID NOT CLRLY HAVE THE RWY IN SIGHT. I CONTINUED THE APCH AND CROSSED THE THRESHOLD ON SPD. I COULD SEE DOWN THE RWY FOR SEVERAL THOUSAND FT. I PUSHED THE NOSE FORWARD SLIGHTLY TO FIRMLY PUT ACFT ON THE RWY. UPON TOUCHDOWN; I DEPLOYED REVERSERS WITH #1; #2; AND #3 COMING IN WITH #4 BEING SLOW. THE FE CALLED SPOILERS DEPLOYED. THE ACFT BEGAN TO DECELERATE SLOWLY. I COULD SEE DOWN THE RWY ABOUT 3000 FT. AS I CONTINUED DOWN THE RWY; I FINALLY SAW SOME RED RWY LIGHTS WITH APPROX 4000 FT OF RWY REMAINING. I APPLIED MAX BRAKING WITH NO EFFECT. THE ACFT ONLY CONTINUED TO DECELERATE AT A SLOW RATE FROM ENG REVERSERS. I KNEW WE COULD NOT STOP IN TIME AND ADVISED THE CTL TWR WE WOULD BE GOING OFF THE END OF THE RWY. SPD AT THE TIME WAS 80-85 KTS; I BELIEVE. THE FO AND I CONTINUED TO BOTH APPLY MAX BRAKE PRESSURE WITH NO RESULTS. THERE SEEMED TO BE NO SLOWING DOWN; ONLY HYDROPLANING. ACFT DEPARTED THE END OF THE RWY R OF CTRLINE. ACFT SLID IN MUD; AND WE FELT NOSE GEAR COLLAPSE AND ACFT SLID ON NOSE. ACFT THEN SLOWED QUICKLY TO A STOP. ONCE ACFT STOPPED; EMER EVAC ITEMS WERE PERFORMED.