A B757-200 IN CRUISE AT FL390 DECLARED AN EMER DUE TO THE R ENG FLAMEOUT CAUSED BY A FAILED STATOR VANE ACTUATOR.

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CLBING THROUGH FL240 WE GOT R ENG SEC CONT STATUS MESSAGE ON EICAS. DATA LINKED SAME TO OUR MAINT/DISPATCH. NO CREW ACTION REQUIRED. SHORTLY AFTER LEVELOFF AT FL390; APPROX 160 MI N OF SAN JUAN; WE GOT A R ENG STATOR CAUTION. AS WE WERE LOOKING IT UP; WE HEARD A LOUD BANG AND THE R ENG FLAMED OUT. WE COMPLIED WITH OUR OPS MANUAL PROCS DECLARED AN EMER AND REQUESTED AN IMMEDIATE RETURN TO SAN JUAN. CONFIRMED WITH OUR DISPATCHER THAT SAN JUAN WAS OUR BEST CHOICE GIVEN TIME/BURN; PLT FAMILIARITY; AND FACILITIES AVAILABLE. UNEVENTFUL LNDG IN ACCORDANCE WITH OUR SINGLE ENG PROCS. THE LEAD FLT ATTENDANT WAS IN COCKPIT WHEN INCIDENT OCCURRED. AFTER A QUICK 'WE'RE GOING BACK AND ETA' SHE LEFT COCKPIT TO BRIEF HER CREW AND PAX; WHICH REALLY HELPED US. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED THE ENG WAS A P&W 2037 AND THE CAUSE OF THE FLAMEOUT WAS A FAILED STATOR VANE ACTUATOR. THE RPTR SAID THE ACFT WAS WORKED IN SAN JUAN AND THE TECHNICIANS REPLACED THE STATOR VANE ACTUATOR; THE MAIN FUEL CTL AND ACCOMPLISHED STATOR VANE RIGGING.