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Plot InverseSurvivalFunction

  • To: mathgroup at smc.vnet.net
  • Subject: [mg132009] Plot InverseSurvivalFunction
  • From: "Eduardo M. A. M. Mendes" <emammendes at gmail.com>
  • Date: Fri, 15 Nov 2013 06:41:57 -0500 (EST)
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  • Delivered-to: l-mathgroup@wolfram.com
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Hello

Is there any way to evaluate (or even plot) the inverse survival function of a sum of two Fs?

Here is what I have so far

\[ScriptCapitalD]=TransformedDistribution[u+v,{u\[Distributed]FRatioDistribution[2,2 2],v\[Distributed]FRatioDistribution[2,2 2]}]

PDF[\[ScriptCapitalD],x]

Plot[PDF[\[ScriptCapitalD],x],{x,0,10},Filling->Axis]

CDF[\[ScriptCapitalD],x]

Plot[CDF[\[ScriptCapitalD],x],{x,0,10},Filling->Axis]

All above commands return the results I expect but when I try

Plot[InverseSurvivalFunction[\[ScriptCapitalD],x],{x,0,1},Filling->Axis,PlotRange-> Full]

Mathematica won't show any curve. Does it mean that Mathematica could not find an expression for it?

I know that the sum of Fs will get rather complicated.

Is there any way to get an output from InverseSurvivalFunction[\[ScriptCapitalD],0.95] for instance?

Many thanks

Ed




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