Recent content by mathinator

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    MHB Bias of functions defined on samples for population

    Thank you for your response!
  2. M

    MHB Bias of functions defined on samples for population

    Let X1, · · · , Xn be a simple random sample from some finite population of values {x1, · · · xN }. Is the estimate $$\frac{1}{n} \sum_{i}^{n} f(Xi)$$ always unbiased for $$\frac{1}{N} \sum_{i}^{N} f(xi)$$ no matter what f is?My thinking: I don't think all f's are unbiased, because not all...