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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