Suppose that $Y_1, Y_2, ..., Y_n$ is a random sample from a distribution with density function
$$ f(y) = \begin{cases} \theta y^{\theta - 1}\ \ \ \ 0 < y < 1, \\ 0\ \ \ \ \ \ \ \ \ \ \ elsewhere \end{cases} $$
The parameter $\theta$ is positive.
Use the method of moments to estimate the parameter $\theta$.
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$\begingroup$ should this have the self-study tag? read this: stats.stackexchange.com/tags/self-study/info $\endgroup$– TaylorCommented Aug 16, 2017 at 3:24
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1 Answer
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Hint: it follows directly from the definition of method of moments. You only have to solve one equation for $\theta$.
