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Information Geometry and Asymptotic Theory for SMML Estimators [PDF]
EntropyStrict minimum message length (SMML) is an information-theoretic coding principle that represents a continuous statistical model by a finite set of assertions and a partition of the sample space.
Enes Makalic, Daniel F. Schmidt
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Satisfiability with Exponential Families [PDF]
, 2007 Fix a set S ⊆ {0, 1}* of exponential size, e.g. |S ∩ {0, 1}n| ∈ Ω(αn), α > 1. The S-SAT problem asks whether a propositional formula F over variables v1, . . . , vn has a satisfying assignment (v1, . . . , vn) ∈ {0, 1}n ∩ S. Our interest is in determining the complexity of S-SAT.
Dominik Scheder, Philipp Zumstein
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Generalised Exponential Families and Associated Entropy Functions [PDF]
Entropy, 2008 A generalised notion of exponential families is introduced. It is based on the variational principle, borrowed from statistical physics. It is shown that inequivalent generalised entropy functions lead to distinct generalised exponential families.
Jan Naudts
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Rank verification for exponential families [PDF]
The Annals of Statistics, 2016 Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of several ...
Kenneth Hung, William Fithian
semanticscholar +5 more sources
FREE EXPONENTIAL FAMILIES AS KERNEL FAMILIES [PDF]
Demonstratio Mathematica, 2009 AbstractFree exponential families have been previously introduced as a special case of ...
Włodzimierz Bryc
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Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries
Physica A: Statistical Mechanics and Its Applications, 2012 An information-geometrical foundation is established for the deformed exponential families of probability distributions. Two different types of geometrical structures, an invariant geometry and a flat geometry, are given to a manifold of a deformed ...
Shun－Ichi Amari +2 more
exaly +2 more sources
Natural Exponential Families with Quadratic Variance Functions
Annals of Statistics, 1982 Carl N Morris
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Exponential Families in Theory and Practice
, 2022 During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by ...
B. Efron
semanticscholar +1 more source
Total positivity in exponential families with application to binary variables [PDF]
Annals of Statistics, 2019 We study exponential families of distributions that are multivariate totally positive of order 2 (MTP2), show that these are convex exponential families, and derive conditions for existence of the MLE.
S. Lauritzen +2 more
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Two Families of Continuous Probability Distributions Generated by the Discrete Lindley Distribution
Mathematics, 2023 In this paper, we construct two new families of distributions generated by the discrete Lindley distribution. Some mathematical properties of the new families are derived. Some special distributions from these families can be constructed by choosing some
Srdjan Kadić +2 more
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