CAPT OF AN LTT CPR JET WENT OFF THE END OF THE RWY ON A 'LONG LNDG' DUE TO A SLOW RATE OF DSCNT NEAR THE ARPT.

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I WAS OVER THE PHK VOR AT 10000 FT; CLRED FOR DSCNT TO 5000 FT AND TO INTERCEPT THE PBI LOC ON A 120 DEG HDG. IN VISUAL CONDITIONS; INITIATED A 1000 FPM DSCNT THEN CLRED TO 2000 FT. DSNDING AND APPROX 2 MI OUTSIDE THE MARKER; I REALIZED MY DSCNT RATE WAS NOT SUFFICIENT. STILL AT 5000 FT; THE CTLR ASKED IF WE COULD DSND OK. I TOLD MY COPLT IT WAS OK SINCE IT WAS VFR EXCEPT FOR SOME BROKEN CLOUDS. I INCREASED THE DSCNT BY REDUCING PWR TO IDLE AND EXTENDING THE SPD BRAKES; AT 215 KTS CALLED FOR GEAR DOWN; BUT WAS DELAYED MOMENTARILY BECAUSE THE COPLT STOPPED TO VERIFY THE SPD WAS WITHIN LIMITS. I TOLD HIM IT WAS OK; SO HE DROPPED THE GEAR AS WE SLOWED DOWN TO WITHIN APCH FLAPS; THEY WERE EXTENDED AS WELL. WE WERE ESTABLISHED ON THE LOC BUT TOO FAST FOR APCH LNDG SPD AND ALSO TOO HIGH. AT APPROX 2 MI FROM THE ARPT WE BROKE THROUGH SOME CLOUDS AND WERE 2 DOTS ABOVE THE GS. (WE WERE CLRED FOR A VISUAL APCH.) CONTINUING WITH A RATE OF DSCNT OF ABOUT +/-1500 FPM SINCE I WAS ALSO TRYING TO SLOW DOWN SO AS TO EXTEND FULL FLAPS; THEY WERE EXTENDED AT ABOUT THE MIDDLE MARKER; RETRACTING THE SPD BRAKES. WE CROSSED THE END OF THE RWY AT APPROX 200 FT AGL AND 160 KTS. THE ACFT FLOATED PAST THE MIDWAY POINT DOWN THE RWY AND I CONSIDERED GOING AROUND; BUT DECIDED AGAINST IT. I THOUGHT I COULD STOP IT SINCE IT IS A SHORT LNDG ACFT. THE TOUCHDOWN WAS BY THE BEGINNING OF THE LAST 1/3 OF THE RWY. I STEPPED ON THE BRAKES; DEPLOYED THE THRUST REVERSERS AND MY COPLT EXTENDED THE SPD BRAKES. THE THRUST REVERSERS WERE SLOW IN REVERSING SINCE THE NOSEWHEEL WAS OFF THE GND. I DON'T RECALL LOOKING AT THE AIRSPD THEN; BUT IT WAS NORMAL FOR LNDG. IT WAS ALSO A SMOOTH LNDG BUT TOO LONG AND THE ACFT RAN OFF THE RWY ONTO THE GRASS OVERRUN ABOUT +/- 50 FT. AFTER EVALUATING THE SIT; PERMISSION TO TAXI WAS REQUESTED (NO EMER DECLARED) AND THE ACFT TAXIED BACK TO THE RAMP ON ITS OWN PWR. THE PAX (7) WERE DEPLANED AND LEFT; SINCE NO ONE WAS HURT. THE ACFT WAS INSPECTED ON THE RAMP BY MYSELF AND MY COPLT WHO IS A CERTIFIED MECH AND AN A&E. NO DAMAGE WAS FOUND. THE ACFT WAS FLOWN OUT AND AGAIN INSPECTED BY OUR COMPANY MAINT DEPT AND NO DAMAGE WAS FOUND. AS YOU CAN SEE IT WAS A CHAIN OF EVENTS THAT STARTED WITH COMPLACENCY AND BAD JUDGEMENT AND BAD DECISIONS AND ENDED UP AT THE END OF THE RWY. I HOPE THIS SIT DESCRIBED ABOVE WOULD MAKE ME A BETTER PLT; SINCE I KNOW I LEARNED MY LESSON.