failure vs omission

failure and omission both are nouns.

Word	Noun	Adjective	Verb	Adverb
failure	Yes	No	No	No
omission	Yes	No	No	No

As nouns, omission is a hypernym of failure; that is, omission is a word with a broader meaning than failure:

Other hypernyms of failure include skip.

failure (noun)	omission (noun)
an act that fails	a mistake resulting from neglect
an unexpected omission	neglecting to do something; leaving out or passing over something
an event that does not accomplish its intended purpose	any process whereby sounds or words are left out of spoken words or phrases
a person with a record of failing; someone who loses consistently	something that has been omitted
lack of success
loss of ability to function normally
inability to discharge all your debts as they come due