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how can I find sufficient statistics for student-t distribution (centred in 0)

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    So you want a sufficient statistic for the degrees of freedom, based on an i.i.d. sample from Student's distribution?2017-02-10
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    yes! Do you know how I find ?2017-02-10
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    I don't know. Maybe this question would fare better at stats (dot) stackexchange (dot) com. $\qquad$2017-02-11

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