Solution: Suppose that Y1, Y2, . . . , Yn constitute a
Chapter 9, Problem 83E(choose chapter or problem)
Suppose that \(Y_{1}, Y_{2}, \ldots, Y_{n}\) constitute a random sample from a uniform distribution with probability density function
\(f(y \mid \theta)=\left\{\begin{array}{ll}\frac{1}{2 \theta+1}, & 0 \leq y 2 \theta+1 \\0, & \text { otherwise }\end{array}\right.\)
a Obtain the MLE of \(\theta\).
b Obtain the MLE for the variance of the underlying distribution.
Equation Transcription:
Text Transcription:
Y_1, Y_2, …., Y_n
f(y | theta) = {frac{1}{2 theta+1}, & 0 leq y 2 theta+1 0, & otherwise.
theta
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