Let Y₁, Y2, ..., Yn be a random sample from a population that is uniformly distributed on the interval (0,50). Note that both the lower and upper bounds of this interval depend on a single unknown parameter 0. Let Ô = Ỹ be an estimator of 0. (Consider the sample mean as a candidate estimator for the parameter.) Compute the mean squared error of the estimator .

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let \( Y_1, Y_2, \ldots, Y_n \) be a random sample from a population that is uniformly distributed on the interval \( (\theta, 5\theta) \).

*Note that both the lower and upper bounds of this interval depend on a single unknown parameter \( \theta \).*

Let \( \hat{\theta} = \overline{Y} \) be an estimator of \( \theta \). (Consider the sample mean as a candidate estimator for the parameter.)

Compute the mean squared error of the estimator \( \hat{\theta} \).
Transcribed Image Text:Let \( Y_1, Y_2, \ldots, Y_n \) be a random sample from a population that is uniformly distributed on the interval \( (\theta, 5\theta) \). *Note that both the lower and upper bounds of this interval depend on a single unknown parameter \( \theta \).* Let \( \hat{\theta} = \overline{Y} \) be an estimator of \( \theta \). (Consider the sample mean as a candidate estimator for the parameter.) Compute the mean squared error of the estimator \( \hat{\theta} \).
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Yi ~ U(θ,5θ) ; i=1,2,...,n 


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