wail vs shout

wail and shout both are nouns.

Word	Noun	Adjective	Verb	Adverb
wail	Yes	No	Yes	No
shout	Yes	No	Yes	No

As verbs, shout is a hypernym of wail; that is, shout is a word with a broader meaning than wail:

Other hypernyms of wail include call, cry, holler, hollo, scream, shout out, squall, yell.

wail (noun)	shout (noun)
a cry of sorrow and grief	a loud utterance; often in protest or opposition

wail (verb)	shout (verb)
cry weakly or softly	utter in a loud voice; talk in a loud voice (usually denoting characteristic manner of speaking)
emit long loud cries	utter a sudden loud cry
	utter aloud; often with surprise, horror, or joy
	use foul or abusive language towards