moral excellence: the quality that makes a person or a thing genuinely admirable and worth commending.
In ordinary Greek this was the word for whatever makes someone or something outstanding at being what it is. Writers used it of a soldier's courage, a citizen's public service, a horse's speed, even the fertility of good farmland. It does not name one particular good quality. It names the fact of being excellent in a way other people notice and applaud, which is why Philippians 4:8 sets it next to the praise it earns (ἔπαινος).
The New Testament uses this word very sparingly, and that restraint is worth noticing. Greek moral writers built entire systems on it, from Aristotle's catalog of virtues to the Stoic training program, but the New Testament writers usually reach for other language instead: being righteous, being holy, walking by the Spirit. When they do pick this word up, they use it the plain way, as a broad term for admirable character, without importing anyone's philosophical scheme.
In 2 Peter it becomes one link in a chain, where each quality grows out of the one before it: faith supplies excellence, excellence supplies knowledge, and so on until the chain ends in love. It is not a checklist there but a direction of travel, the picture of a faith that actually changes how a person lives.