It even does not have a mean, but this does not matter: both the numerator and denominator are asymptotically normal and so the ratio converges (in distribution) to the ratio of two normals (which indeed has a Cauchy distribution).
--- Robert A LaBudde <[EMAIL PROTECTED]> wrote: > I think a ratio of two normals has a Cauchy > distribution, which > doesn't have a variance (the singularity in the > denominator), so the > Central Limit theorem does not apply. > > I would suggest using bootstrap resampling to make > inferences. > > At 08:10 PM 9/11/2007, Moshe wrote: > >For large samples you have asymptotic normality! > > > >--- Paul Smith <[EMAIL PROTECTED]> wrote: > > > > > Dear All, > > > > > > The package mratios can perform inferences for > > > ratios of normal means. > > > Is there some other package to do the same but > with > > > non-normal > > > populations. Since I have got large samples, an > > > asymptotic procedure > > > would be fine. > > > > > > Thanks in advance, > > > > > > Paul > > > > > > ______________________________________________ > > > R-help@r-project.org mailing list > > > https://stat.ethz.ch/mailman/listinfo/r-help > > > PLEASE do read the posting guide > > > http://www.R-project.org/posting-guide.html > > > and provide commented, minimal, self-contained, > > > reproducible code. > > > > > > >______________________________________________ > >R-help@r-project.org mailing list > >https://stat.ethz.ch/mailman/listinfo/r-help > >PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > >and provide commented, minimal, self-contained, > reproducible code. > > ================================================================ > Robert A. LaBudde, PhD, PAS, Dpl. ACAFS e-mail: > [EMAIL PROTECTED] > Least Cost Formulations, Ltd. URL: > http://lcfltd.com/ > 824 Timberlake Drive Tel: > 757-467-0954 > Virginia Beach, VA 23464-3239 Fax: > 757-467-2947 > > "Vere scire est per causas scire" > > ______________________________________________ > R-help@r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, > reproducible code. > ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
