explicit formula of koszul–vinberg characteristic functions for a wide class of regular convex cones
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ID: 252958
2016
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Abstract
The Koszul–Vinberg characteristic function plays a fundamental role in the theory of convex cones. We give an explicit description of the function and related integral formulas for a new class of convex cones, including homogeneous cones and cones associated with chordal (decomposable) graphs appearing in statistics. Furthermore, we discuss an application to maximum likelihood estimation for a certain exponential family over a cone of this class.
| Reference Key |
ishi2016entropyexplicit
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|---|---|
| Authors | ;Hideyuki Ishi |
| Journal | European journal of medicinal chemistry |
| Year | 2016 |
| DOI |
10.3390/e18110383
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| URL | |
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