V interesting point Greg. But are you not just suggesting left and right truncation? It strikes me that if the data are Poission then a mixture is likely to be better - something akin to zero-deflated. Neg binomail works for greater variance == mix a gamma and poisson, but I'm unsure what to mix to deflate the variance - maybe bernoulli.
In any event, one possibility is that the data are dependnent (e.g. family data) so to get a underdispersion you could draw from the poisson and then redraw from the result based on some condition such as closeness (e.g. as a proxy for family size). Hope this helps! Gerard Greg Snow <[EMAIL PROTECTED] org> To Sent by: René Holst <[EMAIL PROTECTED]>, [EMAIL PROTECTED] "R-help@r-project.org" project.org <R-help@r-project.org> cc 04/12/2008 17:21 Subject Re: [R] Simulating underdispersed counts Accurate probably depends on what exactly you want to accomplish with the simulation, but one simple approach would be to generate more data than you need from a regular Poisson distribution, then throw away the extreme values on both sides. -- Gregory (Greg) L. Snow Ph.D. Statistical Data Center Intermountain Healthcare [EMAIL PROTECTED] 801.408.8111 > -----Original Message----- > From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] > project.org] On Behalf Of René Holst > Sent: Thursday, December 04, 2008 6:40 AM > To: R-help@r-project.org > Subject: [R] Simulating underdispersed counts > > Hello, > > Anyone who knows a fast and accurate algorithm for generating draws > from an underdispersed Poisson distribution. Or even better, if there > is a package containing such an implementation. > > Thanks > > Rene > > ______________________________________________ > 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. ********************************************************************************** The information transmitted is intended only for the person or entity to which it is addressed and may contain confidential and/or privileged material. Any review, retransmission, dissemination or other use of, or taking of any action in reliance upon, this information by persons or entities other than the intended recipient is prohibited. If you received this in error, please contact the sender and delete the material from any computer. It is the policy of the Department of Justice, Equality and Law Reform and the Agencies and Offices using its IT services to disallow the sending of offensive material. Should you consider that the material contained in this message is offensive you should contact the sender immediately and also mailminder[at]justice.ie. Is le haghaidh an duine nó an eintitis ar a bhfuil sí dírithe, agus le haghaidh an duine nó an eintitis sin amháin, a bheartaítear an fhaisnéis a tarchuireadh agus féadfaidh sé go bhfuil ábhar faoi rún agus/nó faoi phribhléid inti. Toirmisctear aon athbhreithniú, atarchur nó leathadh a dhéanamh ar an bhfaisnéis seo, aon úsáid eile a bhaint aisti nó aon ghníomh a dhéanamh ar a hiontaoibh, ag daoine nó ag eintitis seachas an faighteoir beartaithe. Má fuair tú é seo trí dhearmad, téigh i dteagmháil leis an seoltóir, le do thoil, agus scrios an t-ábhar as aon ríomhaire. Is é beartas na Roinne Dlí agus Cirt, Comhionannais agus Athchóirithe Dlí, agus na nOifígí agus na nGníomhaireachtaí a úsáideann seirbhísí TF na Roinne, seoladh ábhair cholúil a dhícheadú. Más rud é go measann tú gur ábhar colúil atá san ábhar atá sa teachtaireacht seo is ceart duit dul i dteagmháil leis an seoltóir láithreach agus le mailminder[ag]justice.ie chomh maith. *********************************************************************************** ______________________________________________ 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.