       Re: Moment's of student's t distribution

• To: mathgroup at smc.vnet.net
• Subject: [mg130283] Re: Moment's of student's t distribution
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sun, 31 Mar 2013 03:15:51 -0400 (EDT)
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```The central moments at least can be obtained easily.

CentralMoment[StudentTDistribution[m, s, n], k]

Piecewise[{{0, Inequality[0, LessEqual, k, Less, n] &&
Mod[k, 2] == 1}, {(n^(k/2)*s^k*Pochhammer[1/2, k/2])/
Pochhammer[-(k/2) + n/2, k/2],
Inequality[0, LessEqual, k, Less, n] && Mod[k, 2] == 0}},
Indeterminate]

Bob Hanlon

On Sat, Mar 30, 2013 at 4:06 AM, paul <paulvonhippel at yahoo.com> wrote:

> I'm trying to get a general formula for the moments of a non-standardized
> t distribution. When I ask for the moments in general --
>
> Moment[StudentTDistribution[\[Mu], \[Sigma], \[Nu]], k]
>
> -- Mathematica merely echoes the input. But when I plug in any integer for
> k, Mathematica gives me a simple answer quickly. How can I get Mathematica
> to tell me the general formula?
>
>

```

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