Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have a problem in statistics that I don't quite know how to do:

"Generate a 1000-element data sample from the Rayleigh distribution. Graph the log-likelihood function $\ln L(\alpha; \vec{x})$ as a function of the parameter $\alpha$. From the graph determine the ML estimator and graphically find its standard deviation."

The Rayleigh distribution is given by:

$$f(x)=\frac{x}{\alpha^2} e^{-x^2 /2 \alpha^2} \ , \ \ \ x>0.$$

I have no idea how to graphically find the standard deviation of the estimator from the plot. I would appreciate suggestions on how to do it.

share|improve this question
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.