have a final exam on monday, and cannot figure out the stuff on estimators:(adsbygoogle = window.adsbygoogle || []).push({});

1) a random sample of size 2, y1, y2 is drawn from the pdf f(y, theta) = 2y(theta^2), 1 < y < 1/theta.

what must c equal if the statistic c(y1 + 2y2) is to be an unbiased estimator for 1/theta.

I really dont know how to approach anything that asks about estimators. I know that unbiasedness implies E(theta) = theta. But how do I work this problem?

2. Let y1....y2....yn be a random sample size n from pdf fy(y;theta) = 2y/theta^2, 0 <y < y < theta.

show that W = 3/2n summation (Yi) is a unbiased estimator theta.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Final exam questions: estimators.

**Physics Forums | Science Articles, Homework Help, Discussion**