Confidence interval for theta


Assume X1, X2, ... are IID from the Poi(u) distribution, and assume we are interested in determining the parameter

theta = log(u).

Determine an asymptotic 95% confidence interval for theta, the endpoints of which are a function of Xn(bar) only (no other statistics). Hint: the 0.975 quantile of the standard normal distribution is 1.9600.

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Basic Statistics: Confidence interval for theta
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