6. Let S be the number of successes in a Bernoulli scheme with unknown probability of success 6. It is known that ES = n
Posted: Tue Nov 23, 2021 9:29 am
6. Let S be the number of successes in a Bernoulli scheme with unknown probability of success 6. It is known that ES = nd and Vars = n(1-0). S • Consider ê as an estimator of O and compute its variance: n Varê= • Consider Ô(1 – Ô) as an estimator of 6(1 – ) and compute its bias: Eô (1 – 6) – (1 – 6) Hint: To compute the second answer it might be helpful to use the fact that E(ô2) = (Eh)2 + Varên.