2019, ISBN 9783038972228

Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial...

hydrological risk analysis | modeling | water level | Poyang Lake basin | trend | composite multiscale sample entropy | flood frequency analysis | canopy flow | precipitation | water resources | complex systems | frequency analysis | optimization | combined forecast | neural network forecast | entropy spectral analysis time series analysis | environmental engineering | hydrometric network | sea surface temperature | kernel density estimation | robustness | turbulent flow | entropy production | connection entropy | flux concentration relation | turbulence | tropical rainfall | generalized gamma (GG) distribution | multi-events | El Niño | joint entropy | entropy weighting method | Anhui Province | changing environment | complexity | multiplicative cascades | Tsallis entropy | Hexi corridor | coherent structures | water resources vulnerability | uncertainty | variability | flow entropy | Hei River basin | fuzzy analytic hierarchy process | substitute | crop yield | conditional entropy production | entropy | flow duration curve | mean annual runoff | temperature | hydrometeorological extremes | resilience | Loess Plateau | information entropy | scaling | water distribution networks | cross entropy | randomness | forewarning model | entropy applications | quaternary catchment | spatio-temporal variability | probability distribution function | ant colony fuzzy clustering | radar | continuous probability distribution functions | Shannon entropy | informational entropy | information | confidence intervals | marginal entropy | rainfall forecast | entropy of information | streamflow | power laws | bootstrap aggregating | maximum entropy-copula method | spatial and dynamics characteristic | projection pursuit | set pair analysis | entropy theory | water resource carrying capacity | entropy parameter | precipitation frequency analysis | principle of maximum entropy | information theory | stochastic processes | network design | complement | cross elasticity | climacogram | methods of moments | hydrology | bagging | principle of maximum entropy (POME) | rainfall network | entropy ensemble filter | ensemble model simulation criterion | Lagrangian function | Beta-Lognormal model | cross-entropy minimization | ANN | configurational entropy | variation of information | statistical scaling | EEF method | water monitoring | maximum likelihood estimation | GB2 distribution | NDVI | four-parameter exponential gamma distribution | hydraulics | spatial optimization | Kolmogorov complexity | bootstrap neural networks | mutual information | accelerating genetic algorithm | groundwater depth | rainfall | tropical Pacific | water engineering | monthly streamflow forecasting | ENSO | nonlinear relation | Bayesian technique | non-point source pollution | Burg entropy | data-scarce | scaling laws | soil water content | arid region | land suitability evaluation | information transfer

hydrological risk analysis | modeling | water level | Poyang Lake basin | trend | composite multiscale sample entropy | flood frequency analysis | canopy flow | precipitation | water resources | complex systems | frequency analysis | optimization | combined forecast | neural network forecast | entropy spectral analysis time series analysis | environmental engineering | hydrometric network | sea surface temperature | kernel density estimation | robustness | turbulent flow | entropy production | connection entropy | flux concentration relation | turbulence | tropical rainfall | generalized gamma (GG) distribution | multi-events | El Niño | joint entropy | entropy weighting method | Anhui Province | changing environment | complexity | multiplicative cascades | Tsallis entropy | Hexi corridor | coherent structures | water resources vulnerability | uncertainty | variability | flow entropy | Hei River basin | fuzzy analytic hierarchy process | substitute | crop yield | conditional entropy production | entropy | flow duration curve | mean annual runoff | temperature | hydrometeorological extremes | resilience | Loess Plateau | information entropy | scaling | water distribution networks | cross entropy | randomness | forewarning model | entropy applications | quaternary catchment | spatio-temporal variability | probability distribution function | ant colony fuzzy clustering | radar | continuous probability distribution functions | Shannon entropy | informational entropy | information | confidence intervals | marginal entropy | rainfall forecast | entropy of information | streamflow | power laws | bootstrap aggregating | maximum entropy-copula method | spatial and dynamics characteristic | projection pursuit | set pair analysis | entropy theory | water resource carrying capacity | entropy parameter | precipitation frequency analysis | principle of maximum entropy | information theory | stochastic processes | network design | complement | cross elasticity | climacogram | methods of moments | hydrology | bagging | principle of maximum entropy (POME) | rainfall network | entropy ensemble filter | ensemble model simulation criterion | Lagrangian function | Beta-Lognormal model | cross-entropy minimization | ANN | configurational entropy | variation of information | statistical scaling | EEF method | water monitoring | maximum likelihood estimation | GB2 distribution | NDVI | four-parameter exponential gamma distribution | hydraulics | spatial optimization | Kolmogorov complexity | bootstrap neural networks | mutual information | accelerating genetic algorithm | groundwater depth | rainfall | tropical Pacific | water engineering | monthly streamflow forecasting | ENSO | nonlinear relation | Bayesian technique | non-point source pollution | Burg entropy | data-scarce | scaling laws | soil water content | arid region | land suitability evaluation | information transfer

eBook

IEEE Transactions on Image Processing, ISSN 1057-7149, 12/2013, Volume 22, Issue 12, pp. 4788 - 4797

Multilevel thresholding amounts to segmenting a gray-level image into several distinct regions. This paper presents a 2D histogram based multilevel...

differential evolution | Berkeley segmentation dataset and benchmark | Histograms | Image segmentation | thresholding | Multilevel image segmentation | Sociology | 2D histogram | Tsallis entropy | Entropy | Vectors | Optimization | SPACES | PRINCIPLE | RENYIS ENTROPY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | GENETIC ALGORITHM | ENGINEERING, ELECTRICAL & ELECTRONIC | SCHEME | SEGMENTATION | OPTIMIZATION | FUZZY ENTROPY | SELECTION METHOD | Usage | Image processing | Mathematical optimization | Innovations | Differential equations | Studies | Multilevel | Images | Evolution | Swarm intelligence | Computational efficiency | Two dimensional

differential evolution | Berkeley segmentation dataset and benchmark | Histograms | Image segmentation | thresholding | Multilevel image segmentation | Sociology | 2D histogram | Tsallis entropy | Entropy | Vectors | Optimization | SPACES | PRINCIPLE | RENYIS ENTROPY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | GENETIC ALGORITHM | ENGINEERING, ELECTRICAL & ELECTRONIC | SCHEME | SEGMENTATION | OPTIMIZATION | FUZZY ENTROPY | SELECTION METHOD | Usage | Image processing | Mathematical optimization | Innovations | Differential equations | Studies | Multilevel | Images | Evolution | Swarm intelligence | Computational efficiency | Two dimensional

Journal Article

2019, ISBN 3039210939

Image analysis is a fundamental task for extracting information from images acquired across a range of different devices. Since reliable quantitative results...

keyframes | time-delay | whale optimization algorithm | multilevel thresholding | multi-exposure image fusion | additive manufacturing | patch structure decomposition | ultra-sound images | 3D scanning | Arimoto entropy | contrast enhancement | spatial filling factor | depth maps | image processing | 3D prints | differential evolution | field of experts | normalized divergence measure | image privacy | multiscale top-hat transform | q-exponential | texture information entropy | diffusion | hybrid algorithm | Weibull statistics | adaptive selection | nonextensive entropy | computer aided diagnostics | fatty liver | random forest | DNA encoding | low contrast | entropy | Minkowski island | fuzzy entropy | free-form deformations | person re-identification | chaotic system | DNA computing | pavement | information entropy | discrete entropy | Tsallis statistics | video skimming | prime-indexed primes | natural scene statistics (NSS) | Hénon map | q-sigmoid | image entropy | Shannon entropy | macrotexture | Shannon’s entropy | binary image | multi-feature fusion | image analysis | uncertainty assessment | non-rigid registration | hash layer | Cantor set | dynamic filtering | deep neural network | security analysis | multiple-image encryption | Hamming distance | blind image quality assessment (BIQA) | q-Gaussian | remote sensing | decay trend | chaotic cryptography | chaotic strategy | cross-entropy loss | random insertion | metabolic syndrome | sign languages | generalized entropies | relevance feedback | image retrieval | two-dimensional chaotic economic map | cryptanalysis | infrared images | 3D Latin cube | SHA-256 hash value | gradient distributions | structural entropy | discrete cosine transform (DCT) | chaotic map | hepatic steatosis | machine vision | electromagnetic field optimization | security | image segmentation | quantization loss | colonoscopy | video summarization | permutation | Kapur’s entropy | surface quality assessment | permutation-diffusion | Ramanujan primes | Rényi entropies | chosen-plaintext attack | image encryption | dynamic index | color image segmentation | ultrasound | Otsu method | sigmoid | reconstruction | image information entropy | 3-D digital imaging | positron emission tomography | medical imaging

keyframes | time-delay | whale optimization algorithm | multilevel thresholding | multi-exposure image fusion | additive manufacturing | patch structure decomposition | ultra-sound images | 3D scanning | Arimoto entropy | contrast enhancement | spatial filling factor | depth maps | image processing | 3D prints | differential evolution | field of experts | normalized divergence measure | image privacy | multiscale top-hat transform | q-exponential | texture information entropy | diffusion | hybrid algorithm | Weibull statistics | adaptive selection | nonextensive entropy | computer aided diagnostics | fatty liver | random forest | DNA encoding | low contrast | entropy | Minkowski island | fuzzy entropy | free-form deformations | person re-identification | chaotic system | DNA computing | pavement | information entropy | discrete entropy | Tsallis statistics | video skimming | prime-indexed primes | natural scene statistics (NSS) | Hénon map | q-sigmoid | image entropy | Shannon entropy | macrotexture | Shannon’s entropy | binary image | multi-feature fusion | image analysis | uncertainty assessment | non-rigid registration | hash layer | Cantor set | dynamic filtering | deep neural network | security analysis | multiple-image encryption | Hamming distance | blind image quality assessment (BIQA) | q-Gaussian | remote sensing | decay trend | chaotic cryptography | chaotic strategy | cross-entropy loss | random insertion | metabolic syndrome | sign languages | generalized entropies | relevance feedback | image retrieval | two-dimensional chaotic economic map | cryptanalysis | infrared images | 3D Latin cube | SHA-256 hash value | gradient distributions | structural entropy | discrete cosine transform (DCT) | chaotic map | hepatic steatosis | machine vision | electromagnetic field optimization | security | image segmentation | quantization loss | colonoscopy | video summarization | permutation | Kapur’s entropy | surface quality assessment | permutation-diffusion | Ramanujan primes | Rényi entropies | chosen-plaintext attack | image encryption | dynamic index | color image segmentation | ultrasound | Otsu method | sigmoid | reconstruction | image information entropy | 3-D digital imaging | positron emission tomography | medical imaging

eBook

The European Physical Journal C, ISSN 1434-6044, 7/2013, Volume 73, Issue 7, pp. 1 - 7

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann–Gibbs (BG)...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | MULTIFRACTALITY | INITIAL CONDITIONS | PHASE-SPACE | NONEXTENSIVE BEHAVIOR DRIVEN | SENSITIVITY | LONG-RANGE INTERACTIONS | MAGNETIC-FIELD | ROOT-S=900 GEV | LARGE DEVIATION THEORY | TSALLIS STATISTICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Correlation | Probability theory | Bolts | Black holes (astronomy) | Probabilistic methods | Entropy | Joints | Physics - Statistical Mechanics

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | MULTIFRACTALITY | INITIAL CONDITIONS | PHASE-SPACE | NONEXTENSIVE BEHAVIOR DRIVEN | SENSITIVITY | LONG-RANGE INTERACTIONS | MAGNETIC-FIELD | ROOT-S=900 GEV | LARGE DEVIATION THEORY | TSALLIS STATISTICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Correlation | Probability theory | Bolts | Black holes (astronomy) | Probabilistic methods | Entropy | Joints | Physics - Statistical Mechanics

Journal Article

Pattern Recognition Letters, ISSN 0167-8655, 2004, Volume 25, Issue 9, pp. 1059 - 1065

Image analysis usually refers to processing of images with the goal of finding objects presented in the image. Image segmentation is one of the most critical...

Tsallis entropy | Image thresholding | Entropic segmentation | image thresholding | entropic segmentation | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Tsallis entropy | Image thresholding | Entropic segmentation | image thresholding | entropic segmentation | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Wuli Huaxue Xuebao/ Acta Physico - Chimica Sinica, ISSN 1000-6818, 11/2015, Volume 31, Issue 11, pp. 2057 - 2063

Density functional theory dictates that the electron density determines everything in a molecular system's ground state, including its structure and reactivity...

Density functional reactivity theory | Shannon entropy | Rényi entropy | Tsallis entropy | Onicescu information energy | QUANTITIES | ELECTROPHILICITY | CHEMISTRY, PHYSICAL | HIRSHFELD CHARGE | AROMATIC-SUBSTITUTION REACTIONS | MOLECULES | FRAGMENTS | THERMODYNAMICS | ATOMS | NUCLEOPHILICITY | SYSTEMS | Renyi entropy

Density functional reactivity theory | Shannon entropy | Rényi entropy | Tsallis entropy | Onicescu information energy | QUANTITIES | ELECTROPHILICITY | CHEMISTRY, PHYSICAL | HIRSHFELD CHARGE | AROMATIC-SUBSTITUTION REACTIONS | MOLECULES | FRAGMENTS | THERMODYNAMICS | ATOMS | NUCLEOPHILICITY | SYSTEMS | Renyi entropy

Journal Article

The Annals of Statistics, ISSN 0090-5364, 10/2008, Volume 36, Issue 5, pp. 2153 - 2182

A class of estimators of the Rényi and Tsallis entropies of an unknown distribution f in ${\Bbb R}^{m}$ is presented. These estimators are based on the kth...

Density estimation | Gaussian distributions | Shannon entropy | Entropy | Sampling distributions | Statistics | Estimators | Consistent estimators | Estimation methods | Estimation of divergence | Rényi entropy | Tsallis entropy | Entropy estimation | Estimation of statistical distance | Havrda-Charvát entropy | Nearest-neighbor distances | nearest-neighbor distances | estimation of divergence | STATISTICS | STATISTICS & PROBABILITY | NEAREST NEIGHBOR DISTANCES | GRAPHS | DISTRIBUTIONS | estimation of statistical distance | CONSISTENCY | LIMIT-THEOREMS | ENTROPY ESTIMATORS | ASYMPTOTICS | SAMPLE ENTROPY | Havrda-Charvat entropy | FUNCTIONALS | Renyi entropy | Statistics Theory | Mathematics | 94A15 | Havrda–Charvát entropy | 62G20

Density estimation | Gaussian distributions | Shannon entropy | Entropy | Sampling distributions | Statistics | Estimators | Consistent estimators | Estimation methods | Estimation of divergence | Rényi entropy | Tsallis entropy | Entropy estimation | Estimation of statistical distance | Havrda-Charvát entropy | Nearest-neighbor distances | nearest-neighbor distances | estimation of divergence | STATISTICS | STATISTICS & PROBABILITY | NEAREST NEIGHBOR DISTANCES | GRAPHS | DISTRIBUTIONS | estimation of statistical distance | CONSISTENCY | LIMIT-THEOREMS | ENTROPY ESTIMATORS | ASYMPTOTICS | SAMPLE ENTROPY | Havrda-Charvat entropy | FUNCTIONALS | Renyi entropy | Statistics Theory | Mathematics | 94A15 | Havrda–Charvát entropy | 62G20

Journal Article

Pattern Recognition Letters, ISSN 0167-8655, 07/2017, Volume 94, pp. 87 - 95

Image processing plays an important role in various medical applications to support the computerized disease examination. Brain tumor, such as glioma is one of...

DESIGN | ALGORITHMS | MODEL | ACTIVE CONTOURS | TSALLIS ENTROPY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Brain | Study and teaching | Magnetic resonance imaging | Gliomas | Brain tumors

DESIGN | ALGORITHMS | MODEL | ACTIVE CONTOURS | TSALLIS ENTROPY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Brain | Study and teaching | Magnetic resonance imaging | Gliomas | Brain tumors

Journal Article

Entropy, ISSN 1099-4300, 06/2019, Volume 21, Issue 6

The well-known Holder's inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role...

Rényi-Tsallis entropy | Hölder's inequality | Generalized entropy | Optimization | DISTRIBUTIONS | Renyi-Tsallis entropy | MAXIMUM-ENTROPY | LAW | PHYSICS, MULTIDISCIPLINARY | optimization | Holder's inequality | PRINCIPLE | generalized entropy

Rényi-Tsallis entropy | Hölder's inequality | Generalized entropy | Optimization | DISTRIBUTIONS | Renyi-Tsallis entropy | MAXIMUM-ENTROPY | LAW | PHYSICS, MULTIDISCIPLINARY | optimization | Holder's inequality | PRINCIPLE | generalized entropy

Journal Article

Journal of Economic Theory, ISSN 0022-0531, 09/2019, Volume 183, pp. 312 - 343

I provide a model uncertainty foundation to the power certainty equivalent of Epstein-Zin-Weil risk sensitive preferences (EZ), enabling the analysis of these...

Robust control | Equity premium puzzle | Recursive preferences | Model uncertainty | Tsallis entropy | Federal Reserve banks | Financial markets | Macroeconomics | Analysis

Robust control | Equity premium puzzle | Recursive preferences | Model uncertainty | Tsallis entropy | Federal Reserve banks | Financial markets | Macroeconomics | Analysis

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2018, Volume 490, pp. 1368 - 1376

Long-range correlations between the elements of natural languages enable them to convey very complex information. Complex structure of human language, as a...

Text mining | Keyword extraction | Long-range correlation | Tsallis entropy | EXTRACTION | WORD RANKING | PHYSICS, MULTIDISCIPLINARY | INFORMATION-THEORY | STATISTICAL KEYWORD DETECTION | Data mining | Analysis

Text mining | Keyword extraction | Long-range correlation | Tsallis entropy | EXTRACTION | WORD RANKING | PHYSICS, MULTIDISCIPLINARY | INFORMATION-THEORY | STATISTICAL KEYWORD DETECTION | Data mining | Analysis

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2015, Volume 423, pp. 11 - 26

We investigate the behavior of the Shannon entropy, , and the time generalized -entropy, , at increasing aggregation intervals, , using series of 15-min and...

Shannon entropy | Hydrology | Scaling | Tsallis entropy | Tropical rainfall | Streamflows | EARTH | ZERO-RAINFALL | PHYSICS, MULTIDISCIPLINARY | STATISTICS | INFORMATION ENTROPY | FLOW | PRECIPITATION | COLOMBIA | SOUTH-AMERICA | Rain and rainfall

Shannon entropy | Hydrology | Scaling | Tsallis entropy | Tropical rainfall | Streamflows | EARTH | ZERO-RAINFALL | PHYSICS, MULTIDISCIPLINARY | STATISTICS | INFORMATION ENTROPY | FLOW | PRECIPITATION | COLOMBIA | SOUTH-AMERICA | Rain and rainfall

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 7/2019, Volume 51, Issue 7, pp. 1 - 11

Using the Sharma–Mittal entropy, we study some properties of the Schwarzschild and Schwarzschild-de Sitter black holes. The results are compared with those...

Gravitation | Black hole | Theoretical, Mathematical and Computational Physics | Quantum Physics | Differential Geometry | Non-extensive entropy | Thermodynamic properties | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | PHYSICS, MULTIDISCIPLINARY | STABILITY | ASTRONOMY & ASTROPHYSICS | NONEXTENSIVE STATISTICS | TSALLIS | GRAVITY | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Steel industry | Gravity

Gravitation | Black hole | Theoretical, Mathematical and Computational Physics | Quantum Physics | Differential Geometry | Non-extensive entropy | Thermodynamic properties | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | PHYSICS, MULTIDISCIPLINARY | STABILITY | ASTRONOMY & ASTROPHYSICS | NONEXTENSIVE STATISTICS | TSALLIS | GRAVITY | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Steel industry | Gravity

Journal Article

Pattern Recognition Letters, ISSN 0167-8655, 2006, Volume 27, Issue 6, pp. 520 - 528

In this paper, we present a thresholding technique based on two-dimensional Tsallis–Havrda–Charvát entropy. The effectiveness of the proposed method is...

Tsallis–Havrda–Charvát entropy | Image segmentation | Thresholding | Tsallis-Havrda-Charvát entropy | HISTOGRAM | thresholding | RENYIS ENTROPY | image segmentation | Tsallis-Havrda-Charvat entropy | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Image processing

Tsallis–Havrda–Charvát entropy | Image segmentation | Thresholding | Tsallis-Havrda-Charvát entropy | HISTOGRAM | thresholding | RENYIS ENTROPY | image segmentation | Tsallis-Havrda-Charvat entropy | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Image processing

Journal Article

Physics Letters A, ISSN 0375-9601, 01/2017, Volume 381, Issue 4, pp. 207 - 211

It is well-known that the partition function can consistently be factorized from the canonical equilibrium distribution obtained through the maximization of...

Entropy maximization | Factorized canonical distributions | Partition function | Tsallis/Rényi entropy | Tsallis/Renyi entropy | PHYSICS, MULTIDISCIPLINARY

Entropy maximization | Factorized canonical distributions | Partition function | Tsallis/Rényi entropy | Tsallis/Renyi entropy | PHYSICS, MULTIDISCIPLINARY

Journal Article

Annals of Physics, ISSN 0003-4916, 04/2015, Volume 355, pp. 217 - 223

The paper suggests the concepts of an upper entropy and a lower entropy. We propose a new axiomatic definition, namely, upper entropy axioms, inspired by...

Entropy | Nonextensive statistical mechanics | Tsallis statistics | Complex system | Information theory | PHYSICS, MULTIDISCIPLINARY | THEOREM | TSALLIS ENTROPY | Physics | STATISTICAL MECHANICS | INFORMATION THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | METRICS | ENTROPY

Entropy | Nonextensive statistical mechanics | Tsallis statistics | Complex system | Information theory | PHYSICS, MULTIDISCIPLINARY | THEOREM | TSALLIS ENTROPY | Physics | STATISTICAL MECHANICS | INFORMATION THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | METRICS | ENTROPY

Journal Article

Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 12/2015, Volume 20, Issue 10, pp. 3301 - 3343

This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical entropies and some newer,...

Ergodic theory | Entropy | Applications | Dynamical systems | Entropy-like quantities | Information theory | PERMUTATION ENTROPY | MATHEMATICS, APPLIED | ergodic theory | STRANGE ATTRACTORS | entropy-like quantities applications | dynamical systems | MEASURE-PRESERVING TRANSFORMATIONS | APPROXIMATE ENTROPY | HEART-RATE-VARIABILITY | KOLMOGOROV-SINAI ENTROPY | TIME-SERIES | information theory | ORDINAL PATTERNS | TOPOLOGICAL-ENTROPY | TSALLIS ENTROPY

Ergodic theory | Entropy | Applications | Dynamical systems | Entropy-like quantities | Information theory | PERMUTATION ENTROPY | MATHEMATICS, APPLIED | ergodic theory | STRANGE ATTRACTORS | entropy-like quantities applications | dynamical systems | MEASURE-PRESERVING TRANSFORMATIONS | APPROXIMATE ENTROPY | HEART-RATE-VARIABILITY | KOLMOGOROV-SINAI ENTROPY | TIME-SERIES | information theory | ORDINAL PATTERNS | TOPOLOGICAL-ENTROPY | TSALLIS ENTROPY

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2015, Volume 61, Issue 11, pp. 5868 - 5882

Based on rescaling by some suitable sequence instead of the number of time units, the usual notion of divergence rate is here extended to define and determine...

Measurement | divergence rate | entropy rate | Tsallis entropy | Entropy | Kullback-Leibler divergence | Markov chain | entropy functional | Markov processes | Tin | Shannon entropy | Polynomials | Random sequences | Information theory | Renyi entropy | STATISTICS | SPACES | COMPUTER SCIENCE, INFORMATION SYSTEMS | TSALLIS | ENGINEERING, ELECTRICAL & ELECTRONIC | BOUNDS | Divergence rate | MARKOV SOURCES | CHAINS | Usage | Research | Entropy (Information theory) | Illustrations | Divergence | Functionals | Asymptotic properties | Mathematical analysis | Exact solutions | Rescaling | Mathematics | Information Theory | Computer Science

Measurement | divergence rate | entropy rate | Tsallis entropy | Entropy | Kullback-Leibler divergence | Markov chain | entropy functional | Markov processes | Tin | Shannon entropy | Polynomials | Random sequences | Information theory | Renyi entropy | STATISTICS | SPACES | COMPUTER SCIENCE, INFORMATION SYSTEMS | TSALLIS | ENGINEERING, ELECTRICAL & ELECTRONIC | BOUNDS | Divergence rate | MARKOV SOURCES | CHAINS | Usage | Research | Entropy (Information theory) | Illustrations | Divergence | Functionals | Asymptotic properties | Mathematical analysis | Exact solutions | Rescaling | Mathematics | Information Theory | Computer Science

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2020, Volume 537, p. 122711

In this paper, we broaden the entropy concept for Indian financial markets to make a collation between markets which are highly volatile. We have considered...

Financial markets | Volatility | Tsallis entropy | Shannon entropy | Approximate entropy | Sample entropy | Shannon entropy estimators | Renyi entropy

Financial markets | Volatility | Tsallis entropy | Shannon entropy | Approximate entropy | Sample entropy | Shannon entropy estimators | Renyi entropy

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2019, Volume 528, p. 121468

Tsallis entropy is calculated for ground state of helium that interrelate with a modified potential via a combination of Yukawa and...

Exponential-cosine screened Coulomb potential | Nonadditive entropy | Tsallis entropy | Helium atom | ENERGY | PHYSICS, MULTIDISCIPLINARY | INFORMATION | ENTANGLEMENT | RENYI ENTROPY | ATOM

Exponential-cosine screened Coulomb potential | Nonadditive entropy | Tsallis entropy | Helium atom | ENERGY | PHYSICS, MULTIDISCIPLINARY | INFORMATION | ENTANGLEMENT | RENYI ENTROPY | ATOM

Journal Article

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