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MathGroup Archive 2001

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Re: weibull distribution

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31387] Re: [mg31375] weibull distribution
  • From: BobHanlon at aol.com
  • Date: Wed, 31 Oct 2001 19:59:07 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In a message dated 2001/10/31 3:46:48 AM, chandrika at ittc.ukans.edu writes:

>I am trying to fit data to weibul distribution. Is there a way to do
>using mathematica?
>

Needs["Statistics`ContinuousDistributions`"];

data = RandomArray[WeibullDistribution[5., 5.], 100];

logPDF[x_] := Evaluate[PowerExpand[Log[PDF[WeibullDistribution[a, b], x]]]];

logProd = Plus @@ (logPDF[#]& /@ data);

eqnMLE = ((D[logProd, #] == 0)& /@ {a, b});

soln = FindRoot[eqnMLE, {a, 1.}, {b, Mean[data]}]

{a -> 4.99725689108074, 
  b -> 5.033979933866775}


Bob Hanlon
Chantilly, VA  USA


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