🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.math.stat
Article #812

Re: F distribution and relation to Beta Help!

#812
From: R0264
Date: Fri, 22 Jan 1993 19:14
22 lines
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.
Technical Details
Message-ID: <16B5EC849.R0264@vmcms.csuohio.edu>
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
References: <1993Jan21.181433.8679@mloeff01.cpchq.cpc.gmeds.com>

Show Full Headers
Complete Article Headers
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