Herman Rubin wrote: > > In article <a5daqb$72k$[EMAIL PROTECTED]>, > Chia C Chong <[EMAIL PROTECTED]> wrote: > >Hi! > > >Does anyone come across some Matlab code to estimate the parameters for the > >Cauchy PDF?? Or some other sources about the method to estimate their > >parameters?? > > What is so difficult about maximum likelihood? Start with a > reasonable estimator, and use Newton's method.
There are difficulties with Newton's method (and many other hill-climbing techniques) because the cauchy likelihood function is generally multimodal. You can end up somewhere other than the MLE unless you use a somewhat more sophisticated starting point than "a reasonable estimator". There are good estimators that can start you off very close to the true maximum, but it's a long time since I've seen that literature, so I can't name names right now. Glen ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at http://jse.stat.ncsu.edu/ =================================================================