Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2005
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Integration of function fails

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57866] Integration of function fails
  • From: "Janssen, M.P." <M.P.Janssen at umcutrecht.nl>
  • Date: Fri, 10 Jun 2005 02:29:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I tried to integrate the formula below and found that it converges 
(numerically that is) but the analytical evaluation seems to be instable.
Is there an alternative option for evaluation or maybe an approximation?

Regards,

Mart

PS the code takes quite some time to produce the plots!

<<Statistics`NormalDistribution`
ndist=NormalDistribution[0,1]
Npart[t_]:=2^(t/d);Nprob[t_]:=1-CDF[ndist,fact 
Log[Npart[t]/ps/X50]/Log[X95/X50]];
Cumparts[x_]:=Integrate[Npart[t]Nprob[t],{t,0,x},Assumptions->{X50 
\[Element] Reals,X95 \[Element] Reals, ps \[Element] Reals, d \[Element]/ Reals, X50>0, X95>0, ps>0, 
d>0}];
NCumparts[x_]:=NIntegrate[Npart[t]Nprob[t],{t,0,x}];
d=.2;ps=1;X95=2400;X50=X95/3; fact=Quantile[ndist,0.95];
Plot[{Cumparts[t],.75 * NCumparts[t]},{t,.03,10},PlotRange->All]
Plot[Cumparts[t],{t,.03,15},PlotRange->All]
Plot[ NCumparts[t],{t,.03,15},PlotRange->All]
NCumparts[%]
Clear[X50, X95, ps, d];
Cumparts[%]

**Output: Integrate::gener: Unable to check convergence.



  • Prev by Date: Re: Mathematica equivalent complexplot
  • Next by Date: Re: a question about subscript
  • Previous by thread: Re: Mouse controlled 3D rotations
  • Next by thread: saving the kernel