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by Tian, E and Wong, W.K and Yue, D and Yang, T
IEEE Transactions on Automatic Control, ISSN 0018-9286, 09/2015, Volume 60, Issue 9, p. 2446
Journal Article
The Journal of Economic Perspectives, ISSN 0895-3309, 7/2008, Volume 22, Issue 3, pp. 173 - 188
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 2, pp. 1609 - 1617
Let and let , be such that and . We prove that is completely monotonic on . This result generalizes the one found by Alzer for binomial probabilities ( ). As a... 
Simplex | Gamma function | Combinatorial inequalities | Bernstein polynomials | Complete monotonicity | Multinomial probability | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | DENSITY-ESTIMATION | BEHAVIOR | SMOOTH ESTIMATION | Mathematics - Probability
Journal Article
Advances in Mathematical Physics, ISSN 1687-9120, 2018, Volume 2018, pp. 1 - 61
To begin, we find certain formulas Q(k, alpha) = G(1)(k)(alpha)G(2)(k)(alpha), for k = -1, 0, 1,..., 9. These yield that part of the total separability... 
EIGENVALUES | STATES | PHYSICS, MATHEMATICAL | ENTANGLEMENT | Hypergeometric functions | Geometry | Algorithms | Parameters | Difference equations | Mathematical analysis | Probability | Mathematics | Formulas (mathematics) | Physics | Quantum theory | Eigen values
Journal Article
Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2012, Volume 50, Issue 7, pp. 2051 - 2060
Journal Article
1997, Encyclopedia of mathematics and its applications, ISBN 9780521455121, Volume 56, x, 246
This 1997 work explores the role of probabilistic methods for solving combinatorial problems. These methods not only provide the means of efficiently using... 
Combinatorial analysis | Probabilities
Book
Infinite Dimensional Analysis, Quantum Probability and Related Topics, ISSN 0219-0257, 09/2017, Volume 20, Issue 3
In Ref. 5, O. Bauer interpreted the chordal Loewner equation in terms of noncommutative probability theory. We follow this perspective and identify the chordal... 
Chordal Loewner equation | non-commutative probability | anti-monotone probability | quantum processes | monotone probability | evolution families | free probability | MATHEMATICS, APPLIED | ALGORITHM | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL | CONVOLUTION | INDEPENDENCE
Journal Article
Algorithms, ISSN 1999-4893, 01/2018, Volume 11, Issue 1, p. 3
Seeding heuristics are the most widely used strategies to speed up sequence alignment in bioinformatics. Such strategies are most successful if they are... 
Analytic combinatorics | Bioinformatics | Seeding sequence alignment | Generating functions | Singularities | Combinatorics | Mathematical analysis | Combinatorial analysis
Journal Article
Journal of Geotechnical and Geoenvironmental Engineering, ISSN 1090-0241, 12/2008, Volume 134, Issue 12, pp. 1691 - 1699
This paper aims to demystify the use of risk assessment as a decision management tool and present a methodology that places quantitative risk assessment within... 
TECHNICAL PAPERS | Soil erosion | Decision making | Probability | Dam safety | Slope stability | Dams, earth | Risk management | Tailings | ENGINEERING, GEOLOGICAL | SAFETY | GEOSCIENCES, MULTIDISCIPLINARY | Decision-making | Evaluation | Structural failures | Geometric probabilities | Mechanical properties | Slopes (Physical geography) | Research | Probabilities | Methods | Combinatorial probabilities
Journal Article
British Journal for the Philosophy of Science, ISSN 0007-0882, 2015, Volume 66, Issue 3, pp. 591 - 604
Recent literature in philosophy of science has addressed purported notions of explanatory virtues-'explanatory power', 'unification', and 'coherence'. In each... 
CONFIRMATION | POWER | HISTORY & PHILOSOPHY OF SCIENCE | COHERENCE | LOGIC | Beliefs, opinions and attitudes | Analysis | Science | Geometric probabilities | Virtue | Antecedent (Logic) | Probabilities | Coherence (Optics) | Combinatorial probabilities | Virtues
Journal Article
Foundations of Physics, ISSN 0015-9018, 8/2016, Volume 46, Issue 8, pp. 973 - 1005
Journal Article
Review of Philosophy and Psychology, ISSN 1878-5158, 12/2016, Volume 7, Issue 4, pp. 863 - 903
Subjective probability plays an increasingly important role in many fields concerned with human cognition and behavior. Yet there have been significant... 
Neurosciences | Philosophy of Science | Epistemology | Developmental Psychology | Philosophy of Mind | Cognitive Psychology | Philosophy | Geometric probabilities | Analysis | Probabilities | Statistical sampling | Subjectivity | Combinatorial probabilities | Probability | Cybernetics
Journal Article
Journal of the American Statistical Association, ISSN 0162-1459, 03/2011, Volume 106, Issue 493, pp. 166 - 177
Journal Article
International Journal of Approximate Reasoning, ISSN 0888-613X, 11/2014, Volume 55, Issue 8, pp. 1694 - 1707
Journal Article