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Student Support Forum: 'Wrong Gaussian Integral (symb and num)' topicStudent Support Forum > General > Archives > "Wrong Gaussian Integral (symb and num)"

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fabri
04/19/12 08:31am

Hi guys,
I have a weird problem calculating the expectation of 1-e^(- r x t) for a x normally distributed between 0 and Infinity.
My variables are x and t.

So I can define

f[x_,t_,r_,u_,s_]:=(1-Exp[-r x t])PDF[NormalDistribution[u,s],x]

(* and integrate it *)

F[t_,r_,u_,s_]:=Integrate[f[x,t,r,u,s],{x,0,Infinity}]

The result is pretty crazy!! As it is obvious the resulting function, a function of t only, should converge to 1. Instead it is a weird function showing spikes and a crazy behavior. Where is the error, why Mathematica makes such a mistake?..if it does..

Plot[F[t,1,1,1],{t,0,15},PlotRange->{0,1}]

Thank you a lot, I really need help!!

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Subject (listing for 'Wrong Gaussian Integral (symb and num)')
Author Date Posted
Wrong Gaussian Integral (symb and num) fabri 04/19/12 08:31am
Re: Wrong Gaussian Integral (symb and num) Peter Pein 04/20/12 03:12am
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