q-Exponential Families

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.

• Type: Journal
• Year: 2004
• Where: COMBINATORICS
• Authors: Kent E. Morrison
• Keywords: COMBINATORICS 2004, Exponential Families, Finite Dimensional, Finite Field