Let Y1, Y2, . . . , Yn denote a random sample of size n
Chapter 8, Problem 11E(choose chapter or problem)
Let \(\mathrm{Y}_{1}, \mathrm{Y}_{2}, \ldots, \mathrm{Y}_{\mathrm{n}}\) denote a random sample of size n from a population with mean 3. Assume
that \(\widehat{\theta}_{2}\) is an unbiased estimator of \(E\left(Y^{2}\right)\) and that \(\widehat{\theta}_{3}\) is an unbiased estimator of \(E\left(Y^{3}\right)\). Give
an unbiased estimator for the third central moment of the underlying distribution.
Equation Transcription:
Text Transcription:
Y1, Y2,...,Yn
\widehat\theta_2
E\left(Y^2\right)
\widehat\theta_3
E\left(Y^3\right)
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