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A method of parameter estimation by equating sample and population moments then solving the equations for the unknown parameters.
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Method of Moments of Uniform Distribution
Let $x_1=2, x_2 = 1, x_3 = \sqrt5, x_4 = \sqrt2$ be the observed values of a random sample of size 4 from a uniform distribution $U(-\theta, \theta)$ where $\theta>0$. Then the method of moments estim …