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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Changyong Feng, Hongyue Wang, Xin M. Tu, Jeanne Kowalski
In this paper we study the relations of four possible generalized inverses of a general distribution functions and their right-continuity properties. We correct a right-continuity result of the generalized inverse used in statistical literature. We also prove…
Paola Cerchiello, Paolo Giudici
This contribution deals with a generative approach for the analysis of textual data. Instead of creating heuristic rules forthe representation of documents and word counts, we employ a distribution able to model words along texts considering different topics.…
Elsa Garavaglia, Noemi Basso, Luca Sgambi
The reliability of structural systems, lying in aggressive environments, changes over time. Proper maintenance is usually required to achieve a suitable performance level of life-cycle. The damage process affecting the systems often suffers from uncertainty d…
Sinjini Mitra
The appearance of a face is severely altered by illumination conditions that makes automatic face recognition a challenging task. In this paper we propose a Gaussian Mixture Models ( GMM )-based human face identification technique built in the Fourier or freq…
Rémi Léandre
We give a proof in semi-group theory based on the Malliavin Calculus of Bismut type in semi-group theory and Wentzel-Freidlin estimates in semi-group of our result giving an expansion of an hypoelliptic heat-kernel outside the cut-locus where Bismut’s non-deg…
Xiaoyan Chen
Strong law of large numbers is a fundamental theory in probability and statistics. When the measure tool is nonadditive, this law is very different from additive case. In 2010 Chen investigated the strong law of large numbers under upper probabilityVby assumi…
R. Christopher Weaver
The 2012 American Presidential Election was preceded by widespread efforts to promote stronger voting requirements in states across the nation. In one case, a private, anonymous foundation purchased advertising spots on billboards in urban Ohio to communicate…
Tryfon Daras
One of the active fields in applied probability, the last two decades, is that of large deviations theory i.e . the one dealing with the (asymptotic) computation of probabilities of rare events which are exponentially small as a function of some parameter e.g…
George Stoica
We solve two Markowitz optimization problems for the one-step financial model with a finite number of assets. In our results, the classical (inefficient) constraints are replaced by coherent measures of risk that are continuous from below. The methodology of…
Reza Rastegar, Alexander Roitershtein, Vadim Roytershteyn, Jiyeon Suh
We consider a multivariate Langevin equation in discrete time, driven by a force induced by certain Gibbs’states. The main goal of the paper is to study the asymptotic behavior of a random walk with stationary increments (which are interpreted as discrete-tim…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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