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The correspondence between the cross-entropymethod and the zero-variance approximation to simulate a rare event problem in Markov chains is shown. This leads to a sufficient condition that the cross...
We study the maximum entropy (MaxEnt) approach for analytical continuation of spectral data from imaginary times to real frequencies. The total error is divided in a statistical error, due to the no...
One of the difficulties in calculating the capacity of certain Poisson channels is that H(), the entropy of the Poisson distribution with mean , is not available in a simple form. In this work we...
We present sharp bounds for expectations of generalized order statistics with random indices expressed in terms of Tsallis' entropy. The bounds are attainable and provide new characterizations of s...
The famous connection between metric entropy and small deviation probabilities of Gaussian processes was discovered by Kuelbs and Li in [6] and completed by Li and Linde in [9]. The question whethe...
Metric entropy of the class of probability distribution functions on [0,1] with a k-monotone density is studied through its connection with the small ball probability of k-times integrated Brownian mo...
We establish in this paper an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry gr...
This paper characterizes the distributions of power inverse Gaussian and others based on the entropy maximization principle (E.M.P.) and discuss the relationships of these distributions to the log-nor...
The problem of estimating linear functions of ordered scale parameters of two Gamma distributions is considered under entropy loss. A necessary and sufficient condition for the maximum likelihood esti...
Statistical database protection, also known as Statistical Disclosure Control (SDC), is a part of information security which tries to prevent published statistical information (tables, individual reco...
Standard maximum margin structured prediction methods lack a straightforward probabilistic interpretation of the learning scheme and the prediction rule. Therefore its unique advantages such as dual...
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....
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...
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...

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