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Article #812Re: F distribution and relation to Beta Help!
From: R0264
Date: Fri, 22 Jan 1993 19:14
Date: Fri, 22 Jan 1993 19:14
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1281 bytes
In article <1993Jan21.181433.8679@mloeff01.cpchq.cpc.gmeds.com> pddxt@chalk.cpceng.cpc.gmeds.com (Dino Triantos 575-4386) writes: > >I'm working on a problem in Mood, Graybill and Boes that asks to find the >relationship between the F and Beta distributions. The problem asks: If >X has an F distribution with m and n degrees of freedom, show that > > mX/n > W = ------- has a Beta distribution. > 1 + mX/n > >Any suggestions or solutions would be greatly appreciated! > >Dinos Triantos >GM/Midsize Automotive Division >Vehicle Systems Analysis >C-P-C Engr. Center Rm# G241 >Fax: (313) 575-7270 >E-mail: pddxt@cpceng.cpc.gmeds.com Try the change of variables x = nu2/(nu2 + nu1F), where F is the F variate. Kendall & Stuart (1963) have such an exercise too.
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Newsgroups: sci.math.stat Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!malgudi.oar.net!news.uakron.edu!news.csuohio.edu!vmcms.csuohio.edu!R0264 From: R0264@vmcms.csuohio.edu Subject: Re: F distribution and relation to Beta Help! Message-ID: <16B5EC849.R0264@vmcms.csuohio.edu> Sender: news@news.csuohio.edu (USENET News System) Organization: CSU References: <1993Jan21.181433.8679@mloeff01.cpchq.cpc.gmeds.com> Date: Fri, 22 Jan 1993 19:14:28 GMT Lines: 22