Likelihood section

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2026-02-10 07:58:56 -05:00
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</p>
</answer>
</exercise>
<!--
<exercise>
<statement>
<p>
A radioactive material emits particles at an unknown probabilistic rate <m>\lambda</m> particles per minute.
We observe particles emitted at times 1.1, 1.7, 1.3, 2.2, 1.9, and 1.8 minutes.
Write the likelihood function <m>\mathcal{L}(\lambda)</m> based on this data.
What is the maximum likelihood estimation for <m>\lambda</m>?
</p>
</statement>
</exercise>
<exercise>
<statement>
<p>
Suppose a parameter <m>\theta</m> takes values in <m>[0, 1]</m> with likelihood function <m>\mathcal{L}(\theta) = \sqrt{\theta} - \theta^2</m>.
Find the maximum likelihood estimation of <m>\theta</m>.
</p>
</statement>
</exercise>
--> </exercises>
</exercises>
</section>