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[S] uniroot(f,...) when f is an integration

To: "'s-news@wubios.wustl.edu'" <s-news@wubios.wustl.edu>
Subject: [S] uniroot(f,...) when f is an integration
From: "Lin, Shang" <slin@nki.rfmh.org>
Date: Fri, 29 May 1998 17:53:06 -0400
Sender: owner-s-news@wubios.wustl.edu
Hi, S+ users,

In the following, I attemp to find the root of "my.func,"  
defined as the difference between "d" and the integration of 
a function "weibx" involving an unknown parameter "c".
The purpose is to determine the value of c so that the value of 
the integration is equal to the given value d.  My attempt failed
with an error message (please see below). I would like to know
if this can be done in Splus.  If you have any experiences with  
such problem, I would greatly appreciate hearing from you.  

Shang P. Lin
Nathan Kline Institute
Orangeburg, NY
------------------------------------------------------------------
mx<-300; my<-50; a0<-30
b<-1.5;a<-gamma(1+1/b)/mx;
d<-my/(gamma(1+1/b)*a^b*b*a0)
my.fucn <- function(c) 
 {
 as.numeric(c)
 weibx<-function(x) {x^(b-1)*exp(-(a*x)^b+c*x)}
 d-integrate(weibx,0,Inf)[1]
 }
uniroot(my.func,c(1,100))[1]

Error in c * x: Non-numeric first operand
Dumped

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