[R] Inferences for ratios of non-normal means

[Moshe Olshansky]

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 <ral at lcfltd.com> 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 <phhs80 at gmail.com> 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
> > >
> > > ______________________________________________
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> > >
> >
> >______________________________________________
> >R-help at r-project.org mailing list
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> >PLEASE do read the posting guide
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> reproducible code.
> 
>
================================================================
> Robert A. LaBudde, PhD, PAS, Dpl. ACAFS  e-mail:
> ral at lcfltd.com
> Least Cost Formulations, Ltd.            URL:
> http://lcfltd.com/
> 824 Timberlake Drive                     Tel:
> 757-467-0954
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> ______________________________________________
> R-help at r-project.org mailing list
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> PLEASE do read the posting guide
> http://www.R-project.org/posting-guide.html
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> reproducible code.
>