A random sample of size n is taken from a population with
Chapter 9, Problem 103SE(choose chapter or problem)
A random sample of size is taken from a population with a Rayleigh distribution. As in Exercise
, the Rayleigh density function is
\(\mathrm{f}(\mathrm{y})=\left\{\begin{array}{ll} \left(\frac{2 \mathrm{y}}{\theta}\right) \mathrm{e}^{-\mathrm{y}^{2} / \theta, \theta} & \mathrm{y}>0 \\ 0, & \text { elsewhere }
\end{array}\right.\)
a Find the of \(\theta\)
b Find the approximate variance of the MLE obtained in part (a).
Equation Transcription:
{
Text Transcription:
f (y)={2 y\theta\right) e^-y^2 / \theta, \theta & y>0 0, elsewhere
\theta
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