6. Let S be the number of successes in a Bernoulli scheme with unknown probability of success 6. It is known that ES = n

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6 Let S Be The Number Of Successes In A Bernoulli Scheme With Unknown Probability Of Success 6 It Is Known That Es N 1 (40.38 KiB) Viewed 61 times

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.