stay vs outstay

stay is a noun but outstay is not a noun.

Word	Noun	Adjective	Verb	Adverb
stay	Yes	No	Yes	No
outstay	No	No	Yes	No

As verbs, outstay is a hyponym of stay; that is, outstay is a word with a more specific, narrower meaning than stay:

Other hyponyms of stay include visit, overstay.

As verbs, outstay is a hyponym of stay; that is, outstay is a word with a more specific, narrower meaning than stay:

stay (noun)	outstay (noun)
continuing or remaining in a place or state
(nautical) brace consisting of a heavy rope or wire cable used as a support for a mast or spar
a thin strip of metal or bone that is used to stiffen a garment (e.g. a corset)
a judicial order forbidding some action until an event occurs or the order is lifted
the state of inactivity following an interruption

stay (verb)	outstay (verb)
stay the same; remain in a certain state	stay too long
stop or halt	surpass in staying power
overcome or allay
fasten with stays
be in a certain place and not leave
stop a judicial process
dwell
continue in a place, position, or situation
hang on during a trial of endurance