I recalled and dug up an interesting thread on airliners.net on the topic of 777 engine in-flight shutdown. The most relevant post is about 1/3 of the way down:

"The following information is extracted from the 777 ETOPS database. Since it was introduced in 1995, all versions of the 777, including all engine types, have had 60+ Inflight Shutdowns (IFSD). This equates to an IFSD rate of .005 per 1000 engine hours. The requirement for 180 min. ETOPS is .02 per 1000 engine hours. One additional engine failure will not drive the IFSD rate high enough to violate the minimum requirement.

These data are for IFSD's on the worldwide 777 fleet. An IFSD will result in complaint to Boeing and the engine maker. Both are required to report these to the ETOPS database, so the information contained there is comprehensive."

How authorative? You decide. But it is interesting data.

http://www1.airliners.net/discussion...d.main/128872/