statistician vs estimator

statistician and estimator both are nouns.

Word	Noun	Adjective	Verb	Adverb
statistician	Yes	No	No	No
estimator	Yes	No	No	No

As nouns, estimator is a hypernym of statistician; that is, estimator is a word with a broader meaning than statistician:

statistician: someone versed in the collection and interpretation of numerical data (especially someone who uses statistics to calculate insurance premiums)
estimator: an expert at calculation (or at operating calculating machines)

Other hypernyms of statistician include calculator, computer, figurer, reckoner.

statistician (noun)	estimator (noun)
someone versed in the collection and interpretation of numerical data (especially someone who uses statistics to calculate insurance premiums)	an expert at calculation (or at operating calculating machines)
a mathematician who specializes in statistics