Let X1, . . . , Xn be a random

Let X1, . . . , Xn be a random sample from the Poisson with mean θ. Let Y =
a. Prove that there is no unbiased estimator of 1/θ. (Write the equation that is equivalent to Eθ (r(X)) = 1/θ. Simplify it, and then use what you know from calculus of infinite series to show that no function r can satisfy the equation.)
b. Suppose that we wish to estimate 1/θ. Consider r(Y) = n/(Y + 1) as an estimator of θ. Find the bias of r(Y), and show that the bias goes to 0 as n → ∞.
c. Use the delta method to find the asymptotic (as n→ ∞) of n/(Y + 1).

Solution:

15% off for this assignment.

Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!

Why US?

100% Confidentiality

Information about customers is confidential and never disclosed to third parties.

Timely Delivery

No missed deadlines – 97% of assignments are completed in time.

Original Writing

We complete all papers from scratch. You can get a plagiarism report.

Money Back

If you are convinced that our writer has not followed your requirements, feel free to ask for a refund.