For the example on muon decay in Section 8.4, suppose that instead of recording x = cos θ, only whether the electron goes backward (x < 0) or forward (x > 0) is recorded.
a. How could α be estimated from n independent observations of this type? (Hint: Use the binomial distribution.)
b. What is the variance of this estimate and its efficiency relative to the method of moments estimate and the mle for α = 0, .1, .2, .3, .4, .5, .6, .7, .8, .9?
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