On Fri, 7 Sep 2007, Jacques Wagnor wrote:

> Dear List,
>
> I have read that a lognormal mixture model having a pdf of the form
> f(x)=w1*f1(x)+(1-w1)*f2(x) fits most data sets quite well, where f1
> and f2 are lognormal distributions.

Whoa! There have to be a lot of qualifiers on an assertion like that!!

It will not fit these data well:

        y <- rnorm(100)

>
> Any pointers on how to create a function that would produce the 5
> parameters of f(x) would be greatly appreciated.


Produce? Do you mean _estimate_ perchance?

The usual advice:

        Read the posting guide and follow the advice there, which would
        include trying stuff like the following...

        ?lognormal # fails but suggests help.search("lognormal")

        help.search("lognormal") # bingo! It was 'Lognormal' I needed

        ?Lognormal # now read the help page and find dlnorm

        RSiteSearch("fit mixture")

        help.search("mle")

        and so on.

And isn't a mixture of lognormals also a mixture of normals if you log 
transform the data? ;-)

If so, you are almost done, thanks to the hits in RSiteSearch("fit mixture").

Chuck

p.s. if all you want is to 'fit data', try the logspline package or any of 
the other density estimation tools in R or on CRAN.

>
>> version
>               _
> platform       i386-pc-mingw32
> arch           i386
> os             mingw32
> system         i386, mingw32
> status
> major          2
> minor          5.1
> year           2007
> month          06
> day            27
> svn rev        42083
> language       R
> version.string R version 2.5.1 (2007-06-27)
>
> ______________________________________________
> R-help@stat.math.ethz.ch 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.
>

Charles C. Berry                            (858) 534-2098
                                             Dept of Family/Preventive Medicine
E mailto:[EMAIL PROTECTED]                  UC San Diego
http://famprevmed.ucsd.edu/faculty/cberry/  La Jolla, San Diego 92093-0901

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