occurrence vs presence

occurrence and presence both are nouns.

Word	Noun	Adjective	Verb	Adverb
occurrence	Yes	No	No	No
presence	Yes	No	No	No

As nouns, presence is a hypernym of occurrence; that is, presence is a word with a broader meaning than occurrence:

occurrence (noun)	presence (noun)
an event that happens	the act of being present
an instance of something occurring	dignified manner or conduct
	the impression that something is present
	the immediate proximity of someone or something
	an invisible spiritual being felt to be nearby
	the state of being present; current existence