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q-Exponential families

Kent E. Morrison
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Abstract

We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integers. The essential features of exponential families are preserved, including the exponential formula relating the deck enumerator and the hand enumerator.

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Kent E. Morrison. 2004-03-17. q-Exponential families. https://arxiv.org/abs/math/0403289

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