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Math Help - Stats Inference w/ poisson and unbiased estimators. - finding difficult.

  1. #1
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    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
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  2. #2
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    Re: Stats Inference w/ poisson and unbiased estimators. - finding difficult.

    Hey ICanDivideByZero.

    Hint: For Poisson try finding the MLE estimator and show its unbiased.
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