(a) 3
(b) unanswered
(c) Yes
Natural estimators
The random variables Xi are i.i.d. and satisfy E[X2i]=θ. Use a natural estimator to calculate an estimate of θ based on the values X1=1, X2=3, X3=−1, X4=2, X5=0.
unanswered
In order to calculate confidence intervals around your estimator, you need information on the variance of your estimator. This variance is determined by E[X2i] and E[Xai] for some other power a. What is the value of a?
a=
unanswered
If you do not have any prior knowledge about the value of E[Xai], can you estimate it based on the available data?
unanswered
2 answers
(b) a = 4