問題詳情

Question II (20 points, 10 points each)
Let Y denote a Bernoulli(θ) randon variable with 0 <θ < 1. Suppose we are interested in estimating theodds ratio, y = θ/(1-θ), which is the probability of success over the probability of failure. A natureestimator of y is

, the proportion of successes over the proportion of failures in the sample.Note that

, the proportion of successes in n trials, given a random sample{Y1，Y2,...Yn}.


【題組】

2. Is G an unbiased estimator of γ? Explain.

參考答案