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MLE of $\alpha=\frac{a}{\mu}+\frac{a}{\mu^2}$ given pdf $f(x;\mu)=\frac{\mu}{\sqrt{2\pi x^3}}\exp\{-\frac{1}{2}(\sqrt{x}-\frac{\mu}{\sqrt{x}})^2\}$

score 47 · Answer 1 · 2026-03-30 17:50:47

47

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MLE of $\alpha=\frac{a}{\mu}+\frac{a}{\mu^2}$ given pdf $f(x;\mu)=\frac{\mu}{\sqrt{2\pi x^3}}\exp\{-\frac{1}{2}(\sqrt{x}-\frac{\mu}{\sqrt{x}})^2\}$

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List Question

MLE of $\alpha=\frac{a}{\mu}+\frac{a}{\mu^2}$ given pdf $f(x;\mu)=\frac{\mu}{\sqrt{2\pi x^3}}\exp\{-\frac{1}{2}(\sqrt{x}-\frac{\mu}{\sqrt{x}})^2\}$

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