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Numerical determination of hitting time distributions from their Laplace transforms : simple cases
(Elsevier BV, 2014-09-15)
An important problem in probabilistic modeling consists of the determination of the distribution function of a positive random variable, in particular a hitting time, from its Laplace transform. In this note we use two ...
Application of the method of maximum entropy in the mean to classification problems
(Elsevier BV, 2015-11-01)
In this note we propose an application of the method of maximum entropy in the mean to solve a class of inverse problems comprising classification problems and feasibility problems appearing in optimization. Such problems ...
A spectral measure estimation problem in rheology
(Elsevier BV, 2015-09-15)
In this paper we consider an inverse problem appearing in rheology, consisting of determining a spectral measure over the set of relaxation times, that yields an observed collection of loss and storage moduli. Mathematically ...
A relationship between the ordinary maximum entropy method and the method of maximum entropy in the mean
(MDPI AG, 2014-02-24)
There are two entropy-based methods to deal with linear inverse problems, which we shall call the ordinary method of maximum entropy (OME) and the method of maximum entropy in the mean (MEM). Not only does MEM use OME as ...
Inferring probability densities from expert opinion
(Elsevier Inc., 2017-03)
When experts are asked to assess a situation, they often express their opinions providing estimates of the probability of observing the occurrence of a random variable in given intervals, sometimes up to a range of values, ...