# Question: Show that X 1 n 2 is

Show that X + 1 / n + 2 is a biased estimator of the binomial parameter θ. Is this estimator asymptotically unbiased?

## Answer to relevant Questions

If V1, V2, . . . , Vn and W1, W2, . . . , Wn are independent random samples of size n from normal populations with the means µ1 = α + β and µ2 = α – β and the common variance σ2 = 1, find maximum likelihood ...In Example 10.19 the prior distribution of the parameter of the binomial distribution was a beta distribution with α = β = 40. Use Theorem 6.5 on page 182 to find the mean and the variance of this prior distribution and ...Among six measurements of the boiling point of a silicon compound, the size of the error was 0.07, 0.03, 0.14, 0.04, 0.08, and 0.03○C. Assuming that these data can be looked upon as a random sample from the population of ...The output of a certain integrated- circuit production line is checked daily by inspecting a sample of 100 units. Over a long period of time, the process has maintained a yield of 80 percent, that is, a proportion defective ...Use the result of Exercise 11.15 to show that when n1 = n2 = n, we can be at least (1 – a) 100% confident that the error that we make when using θ1 – θ2 as an estimate of θ1 – θ2 is less than e whenPost your question