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From Physics to Economics: An Econometric Example Using Maximum Relative Entropy
econophyisics econometrics entropy maxent bayesPACS
2010/3/17
Econophysics, is based on the premise that some ideas and methods from physics
can be applied to economic situations. We intend to show in this paper how a
physics concept such as entropy can be app...
Product probability property, known in the literature as statistical
independence, is examined first. Then generalized entropies are introduced, all
of which give generalizations to Shannon entropy....
Inferring Markov Chains：Bayesian Estimation，Model Comparison，Entropy Rate，and Out-of-class Modeling
Markov Chains Bayesian Estimation Model Comparison Entropy Rate Out-of-class Modeling
2010/4/27
Markov chains are a natural and well understood tool for describing one-dimensional patterns in
time or space. We show how to infer k-th order Markov chains, for arbitrary k, from finite data
by app...
From e-entropy to KL-entropy：Analysis of minimum information complexity density estimation
Bayesian posterior distribution minimum description length density estimation
2010/4/26
We consider an extension of "-entropy to a KL-divergence based
complexity measure for randomized density estimation methods. Based
on this extension, we develop a general information-theoretical ine...