Q104Section III (Statistics)104 of 145

For the Cauchy, the median is asymptotically normal and the mean is not even consistent

Let $X_1,X_2,\dots,X_n$ be a random sample of size $n$ observed from Cauchy distribution with location parameter $\theta$ . Define $T_1=$ sample mean and $T_2=$ sample median. Then:

Pick an option to check your answer.

Keyboard: A–D answer · S solution · ←/→ previous/next