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Math Help - unbiased estimators

  1. #1
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    unbiased estimators

    Hi, I would appreciate your help!

    Suppose there is a random variable X with a geometric distribution for which the parameter p is unknown (0 < p < 1). What is a statistic delta(X) that will be an unbiased estimator of 1/p?

    Thanks!
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  2. #2
    MHF Contributor matheagle's Avatar
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    E(X)=1/p, hence X is unbiased for 1/p.

    Do you have a sample of X's or just one observation?
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  3. #3
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    Quote Originally Posted by matheagle View Post
    E(X)=1/p, hence X is unbiased for 1/p.

    Do you have a sample of X's or just one observation?
    That's all the question says. I guess just one since it says random variable X.
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