1,720,967 research outputs found
A new proof of the expansion of iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials
Full text linkThe article is devoted to a new proof of the expansion for iterated Ito
stochastic integrals with respect to the components of a multidimensional
Wiener process. The above expansion is based on Hermite polynomials and
generalized multiple Fourier series in arbitrary complete orthonormal systems
of functions in a Hilbert space. In 2006, the author obtained a similar
expansion, but with a lesser degree of generality. Namely, for the case of
continuous or piecewise continuous complete orthonornal systems of functions in
a Hilbert space. In this article, the author generalizes the expansion of
iterated Ito stochastic integrals obtained by him in 2006 to the case of an
arbitrary complete orthonormal systems of functions in a Hilbert space using a
new approach based on the Ito formula. The obtained expansion of iterated Ito
stochastic integrals is useful for constructing of high-order strong numerical
methods for systems of Ito stochastic differential equations with
multidimensional non-commutative noise.Comment: 58 pages. Some changes. arXiv admin note: substantial text overlap
with arXiv:1712.09746, arXiv:1801.03195; text overlap with arXiv:2003.1418
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
Expansions of Iterated Stratonovich Stochastic Integrals from the Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier Series. Comparison With the Milstein Expansion
Full text linkThe article is devoted to comparison of the Milstein expansion of iterated
Stratonovich stochastic integrals with the method of expansion of iterated
stochastic integrals based on generalized multiple Fourier series. We consider
some practical material connected with the expansions of iterated Stratonovich
stochastic integrals from the Taylor-Stratonovich expansion based on multiple
trigonometric Fourier series. The comparison of effectiveness of the
Fourier-Legendre series as well as the trigonomertic Fourier series for
expansion of iterated Stratonovich stochastic integrals is considered.Comment: 36 pages. Minor changes. arXiv admin note: text overlap with
arXiv:1712.08991, arXiv:1801.00231, arXiv:1801.03195, arXiv:1801.01564,
arXiv:1801.06501, arXiv:1712.09516, arXiv:1801.01962, arXiv:1801.05654,
arXiv:1712.09746, arXiv:1801.0078
To Numerical Modeling With Strong Orders 1.0, 1.5, and 2.0 of Convergence for Multidimensional Dynamical Systems With Random Disturbances
Full text linkThe article is devoted to explicit one-step numerical methods with strong
orders 1.0, 1.5, and 2.0 of convergence for Ito stochastic differential
equations with multidimensional and non-commutative noise. For numerical
modeling of iterated Ito stochastic integrals with multiplicities 1 to 4 we use
the method of multiple Fourier-Legendre series converging in the sense of norm
in Hilbert space The article is addressed to
engineers who use numerical modeling in stochastic control and for solving the
nonlinear filtering problem.Comment: 29 pages. Minor changes. arXiv admin note: text overlap with
arXiv:1801.01564, arXiv:1802.00643, arXiv:1801.01962, arXiv:1801.08862,
arXiv:1712.09516, arXiv:1801.03195, arXiv:1712.0974
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