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Distributions: The evolution of a mathematical theory
Historia Mathematica, 1983 AbstractThe theory of distributions, or generalized functions, evolved from various concepts of generalized solutions of partial differential equations and generalized differentiation. Some of the principal steps in this evolution are described in this paper.
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Statistical Aspects of Wasserstein Distances [PDF]
Annual Review of Statistics and Its Application, 2018 Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover ...
V. Panaretos, Y. Zemel
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Improvements to the fuzzy mathematics comprehensive quantitative method for evaluating fault sealing
Petroleum Science, 2017 Fuzzy mathematics is an important means to quantitatively evaluate the properties of fault sealing in petroleum reservoirs. To accurately study fault sealing, the comprehensive quantitative evaluation method of fuzzy mathematics is improved based on a ...
Da-Wei Dong +4 more
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International Journal of Mathematics and Mathematical SciencesWe introduce a new flexible count distribution by combining Bernoulli and Poisson moment exponential (PMEx) distributions. The new model named the Bernoulli PMEx distribution.
Amani Alrumayh
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Distributionally Robust Stochastic Optimization with Wasserstein Distance [PDF]
Mathematics of Operations Research, 2016 Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of distributions.
Rui Gao, A. Kleywegt
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Bilateral gamma distributions and processes in financial mathematics
Stochastic Processes and their Applications, 2008 21 pages, 3 ...
Uwe Küchler, Stefan Tappe
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, 2014 Gender gaps in the development of mathematical and scientific literacy have important implications for the general public’s understanding of scientific issues and for the underrepresentation of women in science, technology, engineering, and math.
David Reilly, D. Neumann, Glenda Andrews
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The Equitable Distribution of Opportunity to Learn in Mathematics Textbooks
AERA Open, 2021 Low-income students and students of color are faced with pervasively lower levels of opportunity to learn compared with their peers, creating unequal opportunities for educational success.
Morgan S. Polikoff +3 more
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Quality of Mathematics Even Semester Final Assessment Test in Class VIII Using R Program
Jurnal Pendidikan Matematika, 2023 This study was conducted using the Item Responses Theory (IRT) method with R program to comprehensively analyze quality of Mathematics Even Semester Final Assessment test in class VIII for 2021/2022 Academic Year.
Nadilla Rahmadani, Kana Hidayati
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Remarks on the distributional Schwarzschild geometry [PDF]
J.Math.Phys. 43 (2002) 1493-1508, 2001 This work is devoted to a mathematical analysis of the distributional Schwarzschild geometry. The Schwarzschild solution is extended to include the singularity; the energy momentum tensor becomes a delta-distribution supported at r=0. Using generalized distributional geometry in the sense of Colombeau's (special) construction the nonlinearities are ...
arxiv +1 more source