Stats Inference w/ poisson and unbiased estimators. - finding difficult.
Doing a variety of stats questions today, and don't know where to start with either of the parts...
1. The number of breakdowns per week for a type of computer is a random variable Y having a Poisson distribution with mean 𝛍. A random sample Y1, Y2,...,Yn of observations on the weekly number of breakdowns is available.
(a) suggest an unbiased estimator for 𝛍
(b) the weekly cost of repairing the breakdowns is C = 3Y + Y^2. Show that E[C] = 4𝛍 + 𝛍^2
(c) find a function of Y1, Y2,..., Yn that is an unbiased estimator for E[C]
appreciate any guidance with this, cheers guys
Re: Stats Inference w/ poisson and unbiased estimators. - finding difficult.
Hint: For Poisson try finding the MLE estimator and show its unbiased.