Question

Point out the wrong statement.

(a) Asymptotics generally give assurances about finite sample performance

(b) The sample variance and the sample standard deviation are consistent as well

(c) The sample mean and the sample variance are unbiased as well

(d) None of the mentioned

I had been asked this question during an online interview.

Question is taken from Likelihood in division Statistical Inference and Regression Models of Data Science

Answer 1

Correct option is (a) Asymptotics generally give assurances about finite sample performance

To explain I would say: The kinds of asymptotics that do are orders of magnitude more difficult to work with.