A GII RUNS OFF THE END OF A WET RWY AT CNO; CA; WHEN THE FO STOWS THE REVERSERS AFTER THE CAPT SAYS 'GET OFF THEM.'

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OUR PAX WERE 3 1/2 HRS LATE ARRIVING AT LOS ANGELES WHEN WE DEPARTED FOR THE 4 1/2 HR FLT TO NASSAU; BAHAMAS. WE DROPPED OUR PAX; CLRED CUSTOMS IN FLORIDA AND DECIDED TO DEADHEAD HOME TO CHINO; CA. OVER BLYTHE; CA; WE CALLED RIVERSIDE RADIO FOR AN UPDATE ON THE WX AT CHINO. THE SPECIALIST RPTED AWOS WX AT CHINO WAS 700 FT OVCST; 5 MI. THE CAPT AND I DISCUSSED THE FACT THAT THE WX WOULD REQUIRE US TO FLY THE ILS TO THE SHORTER; 4800 FT RWY. I WAS FLYING AND WE WERE VECTORED FOR AND CLRED FOR THE ILS RWY 26R APCH. THE CAPT COMPLETED THE CHKLIST AND I FLEW A STABILIZED ILS AND APCH TO LNDG. THE RWY WAS WET AND I TOUCHED DOWN WITHIN THE FIRST 1000 FT AND AGGRESSIVELY APPLIED REVERSE THRUST. ONCE THE REVERSERS DEPLOYED AND THE ENGS SPOOLED UP; I DID NOT FEEL THE USUAL DECELERATION. IN FACT; IT FELT LIKE THE AIRPLANE WAS ACCELERATING. THE CAPT SAID 'GET OFF THEM;' AND WE STOWED THE REVERSERS. AT THIS POINT WE DID NOT FEEL THERE WAS SUFFICIENT RWY TO EXECUTE A GAR; SO WE CONTINUED BRAKING UNTIL THE AIRPLANE CAME TO A STOP 50-75 YARDS BEYOND THE DEP END OF THE RWY. NO ONE WAS INJURED AND THE AIRPLANE WAS NOT DAMAGED IN THIS INCIDENT. I AM SURE THAT FATIGUE IMPAIRED OUR JUDGEMENT TO CONTINUE AN APCH TO A RELATIVELY SHORT; WET RWY LEAVING NO ROOM FOR CONTINGENCIES SUCH AS A MALFUNCTIONING THRUST REVERSER AND AFFECTED OUR ABILITY TO REACT WHEN THINGS DIDN'T GO ACCORDING TO PLAN.