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Re: Mode of InverseChiSquareDistribution

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  • Subject: [mg128654] Re: Mode of InverseChiSquareDistribution
  • From: Paul von Hippel <paulvonhippel at yahoo.com>
  • Date: Wed, 14 Nov 2012 01:28:46 -0500 (EST)
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  • Reply-to: Paul von Hippel <paulvonhippel at yahoo.com>

Thank you. Why doesn't the ArgMax function find the mode?


________________________________

From: Bob Hanlon <hanlonr357 at gmail.com>
To: paul <paulvonhippel at yahoo.com> 
Mode of InverseChiSquareDistribution
 
D is a reserved word and cannot be used for a variable name. The mode
is the value of x for which the derivative of the PDF is zero.

dist = InverseChiSquareDistribution[d - 1];

mode = x /. Solve[
    Simplify[
     D[PDF[dist, x], x] == 0, 
     x > 0],
    x][[1]]

1/(1 + d)


Bob Hanlon


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