presence vs occurrence

presence and occurrence both are nouns.

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

As nouns, occurrence is a hyponym of presence; that is, occurrence is a word with a more specific, narrower meaning than presence:

presence (noun)	occurrence (noun)
the act of being present	an event that happens
dignified manner or conduct	an instance of something occurring
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