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

Economic modeling assumes, for the most part, that agents are Bayesian, that is, that they entertain probabilistic beliefs, objective or subjective, regarding...

Economic models | Betting | Economic uncertainty | Economic modeling | Economic theory | Axioms | Axiomatization | Expected utility | Modeling | Probabilities | DEFINITION | EXPECTED UTILITY | SUBJECTIVE PROBABILITIES | REPRESENTATION | BELIEFS | RISK | AMBIGUITY | AVERSION | ECONOMICS | STATE-DEPENDENT PREFERENCES | SIMILARITY | Bayesian statistical decision theory | Evaluation | Usage | Geometric probabilities | Economic research | Models | Combinatorial probabilities | Studies | Uncertainty | Bayesian analysis | domain_shs.eco.eco | Economics and Finance | Humanities and Social Sciences

Economic models | Betting | Economic uncertainty | Economic modeling | Economic theory | Axioms | Axiomatization | Expected utility | Modeling | Probabilities | DEFINITION | EXPECTED UTILITY | SUBJECTIVE PROBABILITIES | REPRESENTATION | BELIEFS | RISK | AMBIGUITY | AVERSION | ECONOMICS | STATE-DEPENDENT PREFERENCES | SIMILARITY | Bayesian statistical decision theory | Evaluation | Usage | Geometric probabilities | Economic research | Models | Combinatorial probabilities | Studies | Uncertainty | Bayesian analysis | domain_shs.eco.eco | Economics and Finance | Humanities and Social Sciences

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

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

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

Probability Theory and Related Fields, ISSN 0178-8051, 12/2018, Volume 172, Issue 3, pp. 1081 - 1119

In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of...

Statistics for Business, Management, Economics, Finance, Insurance | Mathematical and Computational Biology | Full distributions | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Bi-free limit theorem | Operations Research/Decision Theory | Bi-free infinitely divisible distributions | Bi-freely stable distributions | Secondary 60E07 | Primary 46L54 | ANALOG | STATISTICS & PROBABILITY | Geometric probabilities | Distribution (Probability theory) | Analysis | Probabilities | Combinatorial probabilities | Theorems | Convolution | Random variables | Machinery | Probability theory | Combinatorial analysis

Statistics for Business, Management, Economics, Finance, Insurance | Mathematical and Computational Biology | Full distributions | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Bi-free limit theorem | Operations Research/Decision Theory | Bi-free infinitely divisible distributions | Bi-freely stable distributions | Secondary 60E07 | Primary 46L54 | ANALOG | STATISTICS & PROBABILITY | Geometric probabilities | Distribution (Probability theory) | Analysis | Probabilities | Combinatorial probabilities | Theorems | Convolution | Random variables | Machinery | Probability theory | Combinatorial analysis

Journal Article

IEEE Transactions on Energy Conversion, ISSN 0885-8969, 06/2008, Volume 23, Issue 2, pp. 603 - 611

In solving the electrical power systems economic dispatch (ED) problem, the goal is to find the optimal allocation of output power among the various generators...

Stochastic processes | Power generation economics | Power system economics | penalty cost | Economic dispatch | Power system modeling | Wind energy generation | Wind energy | Wind speed | reserve cost | Weibull probability density function | Character generation | Probability density function | Power generation | Penalty cost | Reserve cost | SPEED | ENERGY & FUELS | SYSTEMS | wind energy | GENERATION | economic dispatch | ENGINEERING, ELECTRICAL & ELECTRONIC | Economic aspects | Geometric probabilities | Energy economics | Research | Electric power production | Wind power | Probabilities | Combinatorial probabilities | Studies | Economics | Electric power generation | Allocations | Generators | Mathematical models | Direct power generation | Optimization

Stochastic processes | Power generation economics | Power system economics | penalty cost | Economic dispatch | Power system modeling | Wind energy generation | Wind energy | Wind speed | reserve cost | Weibull probability density function | Character generation | Probability density function | Power generation | Penalty cost | Reserve cost | SPEED | ENERGY & FUELS | SYSTEMS | wind energy | GENERATION | economic dispatch | ENGINEERING, ELECTRICAL & ELECTRONIC | Economic aspects | Geometric probabilities | Energy economics | Research | Electric power production | Wind power | Probabilities | Combinatorial probabilities | Studies | Economics | Electric power generation | Allocations | Generators | Mathematical models | Direct power generation | Optimization

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2012, Volume 50, Issue 7, pp. 2051 - 2060

It is shown that a direct method for bound states can give the integrated probability over a given region and also the normalised squared wavefunction at a...

Theoretical and Computational Chemistry | Chemistry | Expectation values | Physical Chemistry | Quantum mechanics | Finite differences | Eigenvalues | Math. Applications in Chemistry | QUANTUM HARMONIC-OSCILLATOR | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | KILLINGBECK METHOD | CHEMISTRY, MULTIDISCIPLINARY | Computational chemistry | Quantum chemistry | Geometric probabilities | Wave functions | Research | Probabilities | Combinatorial probabilities | Mathematics

Theoretical and Computational Chemistry | Chemistry | Expectation values | Physical Chemistry | Quantum mechanics | Finite differences | Eigenvalues | Math. Applications in Chemistry | QUANTUM HARMONIC-OSCILLATOR | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | KILLINGBECK METHOD | CHEMISTRY, MULTIDISCIPLINARY | Computational chemistry | Quantum chemistry | Geometric probabilities | Wave functions | Research | Probabilities | Combinatorial probabilities | Mathematics

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

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

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

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

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

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

IEEE Transactions on Signal Processing, ISSN 1053-587X, 10/2008, Volume 56, Issue 10, pp. 4553 - 4562

In this paper, Bayesian hypothesis testing is investigated when the prior probabilities of the hypotheses, taken as a random vector, are quantized. Nearest...

Bayes risk error | detection | categorization | Decision making | Humans | Quantization | classification | Nearest neighbor searches | Bayesian methods | Information processing | Acoustic materials | Bayesian hypothesis testing | Distortion measurement | Speech processing | Testing | Detection | Categorization | Classification | VECTOR QUANTIZATION | DESIGN | ALLOCATION | ENGINEERING, ELECTRICAL & ELECTRONIC | CONTINUITY | RACE | quantization | QUANTIZERS | Bayesian statistical decision theory | Usage | Analysis | Geometric probabilities | Signal processing | Research | Probabilities | Quantum theory | Combinatorial probabilities | Approximation | Error analysis | Mathematical analysis | Distortion | Centroids | Vectors (mathematics) | Bayesian analysis

Bayes risk error | detection | categorization | Decision making | Humans | Quantization | classification | Nearest neighbor searches | Bayesian methods | Information processing | Acoustic materials | Bayesian hypothesis testing | Distortion measurement | Speech processing | Testing | Detection | Categorization | Classification | VECTOR QUANTIZATION | DESIGN | ALLOCATION | ENGINEERING, ELECTRICAL & ELECTRONIC | CONTINUITY | RACE | quantization | QUANTIZERS | Bayesian statistical decision theory | Usage | Analysis | Geometric probabilities | Signal processing | Research | Probabilities | Quantum theory | Combinatorial probabilities | Approximation | Error analysis | Mathematical analysis | Distortion | Centroids | Vectors (mathematics) | Bayesian analysis

Journal Article

Conference Proceeding

Foundations of Physics, ISSN 0015-9018, 8/2016, Volume 46, Issue 8, pp. 973 - 1005

Quantum mechanics and probability theory share one peculiarity. Both have well established mathematical formalisms, yet both are subject to controversy about...

History and Philosophical Foundations of Physics | Propensity | Philosophy of Science | Quantum mechanics | Mechanics | Probability | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Physics | PHYSICS, MULTIDISCIPLINARY | Geometric probabilities | Analysis | Probabilities | Quantum theory | Combinatorial probabilities

History and Philosophical Foundations of Physics | Propensity | Philosophy of Science | Quantum mechanics | Mechanics | Probability | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Physics | PHYSICS, MULTIDISCIPLINARY | Geometric probabilities | Analysis | Probabilities | Quantum theory | Combinatorial probabilities

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

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

IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 05/2014, Volume 25, Issue 5, pp. 920 - 933

The balance between exploration and exploitation is a key problem for reinforcement learning methods, especially for Q-learning. In this paper, a...

Learning systems | Fidelity | probabilistic Q-learning | Learning (artificial intelligence) | Probabilistic logic | Control systems | Educational institutions | Approximation algorithms | Probability distribution | quantum control | reinforcement learning | DESIGN | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | POLICY ITERATION | STRATEGY | ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Intelligence levels | Intellect | Analysis | Geometric probabilities | Approximation theory | Probabilities | Combinatorial probabilities | Algorithms | Heuristic | Learning | Balancing | Probability theory | Exploration | Probabilistic methods | Quantum theory

Learning systems | Fidelity | probabilistic Q-learning | Learning (artificial intelligence) | Probabilistic logic | Control systems | Educational institutions | Approximation algorithms | Probability distribution | quantum control | reinforcement learning | DESIGN | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | POLICY ITERATION | STRATEGY | ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Intelligence levels | Intellect | Analysis | Geometric probabilities | Approximation theory | Probabilities | Combinatorial probabilities | Algorithms | Heuristic | Learning | Balancing | Probability theory | Exploration | Probabilistic methods | Quantum theory

Journal Article

Science, ISSN 0036-8075, 9/2011, Volume 333, Issue 6048, pp. 1393 - 1400

We are all faced with uncertainty about the future, but we can get the measure of some uncertainties in terms of probabilities. Probabilities are notoriously...

Graphics | Climate change | Health outcomes | Economic uncertainty | Screening tests | Data visualization | Disease risk | REVIEW | Breast cancer | International environmental cooperation | Numeracy | HEALTH-RISK | NUMERACY | PERCEPTION | PROBABILITY | COMPREHENSION | INFORMATION | FORMATS | MULTIDISCIPLINARY SCIENCES | RISK COMMUNICATION | FORECAST | Computer Graphics | Uncertainty | Humans | Probability | Risk | Data Display | Forecasting | Information Dissemination | Visualization (Mental images) | Geometric probabilities | Influence | Research | Social aspects | Probabilities | Combinatorial probabilities | Science education | Teaching methods | Visual aids

Graphics | Climate change | Health outcomes | Economic uncertainty | Screening tests | Data visualization | Disease risk | REVIEW | Breast cancer | International environmental cooperation | Numeracy | HEALTH-RISK | NUMERACY | PERCEPTION | PROBABILITY | COMPREHENSION | INFORMATION | FORMATS | MULTIDISCIPLINARY SCIENCES | RISK COMMUNICATION | FORECAST | Computer Graphics | Uncertainty | Humans | Probability | Risk | Data Display | Forecasting | Information Dissemination | Visualization (Mental images) | Geometric probabilities | Influence | Research | Social aspects | Probabilities | Combinatorial probabilities | Science education | Teaching methods | Visual aids

Journal Article

Journal of the American Statistical Association, ISSN 0162-1459, 03/2011, Volume 106, Issue 493, pp. 166 - 177

Margin-based classifiers have been popular in both machine learning and statistics for classification problems. Among numerous classifiers, some are hard...

DWD | Fisher consistency | SVM | Regularization | Class probability estimation | Datasets | Estimate reliability | Bayes rule | Probability distributions | Conditional probabilities | Theory and Methods | Machine learning | Information classification | Probabilities | Logistics | Estimation methods | SUPPORT VECTOR MACHINES | DISTANCE-WEIGHTED DISCRIMINATION | LOGISTIC-REGRESSION | STATISTICS & PROBABILITY | Geometric probabilities | Analysis | Combinatorial probabilities | Fisher Consistency | Class Probability Estimation

DWD | Fisher consistency | SVM | Regularization | Class probability estimation | Datasets | Estimate reliability | Bayes rule | Probability distributions | Conditional probabilities | Theory and Methods | Machine learning | Information classification | Probabilities | Logistics | Estimation methods | SUPPORT VECTOR MACHINES | DISTANCE-WEIGHTED DISCRIMINATION | LOGISTIC-REGRESSION | STATISTICS & PROBABILITY | Geometric probabilities | Analysis | Combinatorial probabilities | Fisher Consistency | Class Probability Estimation

Journal Article

International Journal of Approximate Reasoning, ISSN 0888-613X, 11/2014, Volume 55, Issue 8, pp. 1694 - 1707

The Goodman–Nguyen relation is a partial order generalising the implication (inclusion) relation to conditional events. As such, with precise probabilities it...

Goodman–Nguyen relation | Imprecise probabilities | Imprecise previsions | Natural extension | Goodman-Nguyen relation | CONDITIONAL EVENTS | PREVISIONS | RISK | COHERENCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Geometric probabilities | Probabilities | Combinatorial probabilities | Algebra | Approximation | Probability theory | Coherence | Inequalities | Tools | Order disorder | Standards | Mathematics - Probability

Goodman–Nguyen relation | Imprecise probabilities | Imprecise previsions | Natural extension | Goodman-Nguyen relation | CONDITIONAL EVENTS | PREVISIONS | RISK | COHERENCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Geometric probabilities | Probabilities | Combinatorial probabilities | Algebra | Approximation | Probability theory | Coherence | Inequalities | Tools | Order disorder | Standards | Mathematics - Probability

Journal Article