IEEE transactions on vehicular technology, ISSN 0018-9545, 2007, Volume 56, Issue 1, pp. 27 - 34

.... It derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution...

Rayleigh scattering | Weibull fading channels | Rayleigh channels | Generalized Gamma distribution | Nakagami-m distribution | Land mobile radio | Stacy distribution | Nakagami distribution | alpha - mu distribution | Statistical distributions | Probability density function | Weibull distribution | Higher order statistics | Propagation delay | alpha-mu distribution | generalized Gamma distribution | STATISTICS | TRANSPORTATION SCIENCE & TECHNOLOGY | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fading | Correlation | Mathematical analysis | Exact solutions | Gaussian | Mathematical models | Statistics | Probability density functions

Rayleigh scattering | Weibull fading channels | Rayleigh channels | Generalized Gamma distribution | Nakagami-m distribution | Land mobile radio | Stacy distribution | Nakagami distribution | alpha - mu distribution | Statistical distributions | Probability density function | Weibull distribution | Higher order statistics | Propagation delay | alpha-mu distribution | generalized Gamma distribution | STATISTICS | TRANSPORTATION SCIENCE & TECHNOLOGY | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fading | Correlation | Mathematical analysis | Exact solutions | Gaussian | Mathematical models | Statistics | Probability density functions

Journal Article

Journal of the Royal Statistical Society. Series B, Statistical methodology, ISSN 1467-9868, 2003, Volume 65, Issue 2, pp. 367 - 389

.... The approach is sufficiently general to encompass some recent proposals in the literature, variously related to the skew normal distribution...

Gaussian distributions | Degrees of freedom | Scalars | Mathematical independent variables | Inference | Random variables | Steels | Mathematical expressions | T distribution | Distribution functions | Asymmetry | Elliptical distributions | Quadratic forms | Multivariate t‐distribution | Skewness | Central symmetry | Healy's plot | Skew normal distribution | Multivariate t-distribution | MODELS | ROBUST | elliptical distributions | quadratic forms | STATISTICS & PROBABILITY | asymmetry | skewness | central symmetry | skew normal distribution | multivariate t-distribution | Statistics - Methodology

Gaussian distributions | Degrees of freedom | Scalars | Mathematical independent variables | Inference | Random variables | Steels | Mathematical expressions | T distribution | Distribution functions | Asymmetry | Elliptical distributions | Quadratic forms | Multivariate t‐distribution | Skewness | Central symmetry | Healy's plot | Skew normal distribution | Multivariate t-distribution | MODELS | ROBUST | elliptical distributions | quadratic forms | STATISTICS & PROBABILITY | asymmetry | skewness | central symmetry | skew normal distribution | multivariate t-distribution | Statistics - Methodology

Journal Article

2002, The Kluwer international series in engineering and computer science, ISBN 1402070586, Volume SECS 683, xix, 200

This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. The book has been endorsed by...

Gaussian distribution | Random variables | Distribution (Probability theory | Engineering mathematics | Computer Systems Organization and Communication Networks | Mathematical and Computational Engineering | Computer engineering | Telecommunication | Computer network architectures | Probability Theory and Stochastic Processes | Communications Engineering, Networks | Mathematical Modeling and Industrial Mathematics | Electrical Engineering | Engineering | Appl.Mathematics/Computational Methods of Engineering | Computational Science and Engineering | Electronic and Computer Engineering

Gaussian distribution | Random variables | Distribution (Probability theory | Engineering mathematics | Computer Systems Organization and Communication Networks | Mathematical and Computational Engineering | Computer engineering | Telecommunication | Computer network architectures | Probability Theory and Stochastic Processes | Communications Engineering, Networks | Mathematical Modeling and Industrial Mathematics | Electrical Engineering | Engineering | Appl.Mathematics/Computational Methods of Engineering | Computational Science and Engineering | Electronic and Computer Engineering

Book

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 510, pp. 635 - 640

The statistical state for the empirical Pareto’s 80/20 rule has been found to correspond to a normal or Gaussian distribution with a standard deviation that is twice the mean...

Pareto | Gaussian distribution | Statistics | PRINCIPLE | LAW | PHYSICS, MULTIDISCIPLINARY | Gaussian processes

Pareto | Gaussian distribution | Statistics | PRINCIPLE | LAW | PHYSICS, MULTIDISCIPLINARY | Gaussian processes

Journal Article

Chemical engineering communications, ISSN 1563-5201, 2018, Volume 205, Issue 8, pp. 1105 - 1118

Bubble size distribution (BSD) is relevant to the design of gas-liquid systems, as it determines the interfacial area available in heat and mass transfer processes...

J, Johnson distribution | BS, Birnbaum-Saunders distribution | N, normal distribution | LH4, four parameter log-hyperbolic distribution | RR, Rosin-Rammler distribution | Sauter mean diameter | G, gamma distribution | LL, log-logistic distribution | particle size distribution | UL3, upper limit distribution | BE, bi-exponential distribution | two-phase flow | BSD, bubble size distribution | G-L, gas-liquid | CDF, cumulative distribution function | PSD, particle size distribution | Rosin-Rammler distribution | LN, log-normal distribution | Nukiyama-Tanasawa distribution | probability density function | IG, inverse Gaussian distribution | CFD, computational fluid dynamics | PDF, probability density function | NT3, three-parameter Nukiyama-Tanasawa distribution | F, Frechet distribution | NT, two-parameter Nukiyama-Tanasawa distribution | Rosin–Rammler distribution | Nukiyama–Tanasawa distribution | NT, two-parameter Nukiyama–Tanasawa distribution | RR, Rosin–Rammler distribution | NT3, three-parameter Nukiyama–Tanasawa distribution | G–L, gas–liquid | BS, Birnbaum–Saunders distribution | ENGINEERING, CHEMICAL | ROSIN-RAMMLER | Size distribution | Parameters | Tanks | Aeration tanks | Water distribution | Rushton turbines | Rosin | Mass transfer | Probability density functions | Gas-liquid systems | Data transfer (computers) | Bubbles | Dissipation | Water tanks | Mathematical models

J, Johnson distribution | BS, Birnbaum-Saunders distribution | N, normal distribution | LH4, four parameter log-hyperbolic distribution | RR, Rosin-Rammler distribution | Sauter mean diameter | G, gamma distribution | LL, log-logistic distribution | particle size distribution | UL3, upper limit distribution | BE, bi-exponential distribution | two-phase flow | BSD, bubble size distribution | G-L, gas-liquid | CDF, cumulative distribution function | PSD, particle size distribution | Rosin-Rammler distribution | LN, log-normal distribution | Nukiyama-Tanasawa distribution | probability density function | IG, inverse Gaussian distribution | CFD, computational fluid dynamics | PDF, probability density function | NT3, three-parameter Nukiyama-Tanasawa distribution | F, Frechet distribution | NT, two-parameter Nukiyama-Tanasawa distribution | Rosin–Rammler distribution | Nukiyama–Tanasawa distribution | NT, two-parameter Nukiyama–Tanasawa distribution | RR, Rosin–Rammler distribution | NT3, three-parameter Nukiyama–Tanasawa distribution | G–L, gas–liquid | BS, Birnbaum–Saunders distribution | ENGINEERING, CHEMICAL | ROSIN-RAMMLER | Size distribution | Parameters | Tanks | Aeration tanks | Water distribution | Rushton turbines | Rosin | Mass transfer | Probability density functions | Gas-liquid systems | Data transfer (computers) | Bubbles | Dissipation | Water tanks | Mathematical models

Journal Article

6.
Full Text
The stellar initial mass function, core mass function and the last-crossing distribution

Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 2012, Volume 423, Issue 3, pp. 2037 - 2044

Hennebelle & Chabrier attempted to derive the stellar initial mass function (IMF) as a consequence of lognormal density fluctuations in a turbulent medium,...

galaxies: formation | galaxies: active | galaxies: evolution | galaxies: star formation | cosmology: theory | Galaxies: evolution | Galaxies: active | Galaxies: star formation | Cosmology: theory | Galaxies: formation | MOLECULAR CLOUDS | STAR-FORMATION | DENSITY PROBABILITY-DISTRIBUTION | GAUSSIAN CLOUD CONDITIONS | PRESTELLAR CORES | GRAVOTURBULENT FRAGMENTATION | CLUSTERS | ASTRONOMY & ASTROPHYSICS | ACCRETION | SIMULATIONS | ISOTHERMAL TURBULENCE | Cosmology | Star & galaxy formation | Astrophysics

galaxies: formation | galaxies: active | galaxies: evolution | galaxies: star formation | cosmology: theory | Galaxies: evolution | Galaxies: active | Galaxies: star formation | Cosmology: theory | Galaxies: formation | MOLECULAR CLOUDS | STAR-FORMATION | DENSITY PROBABILITY-DISTRIBUTION | GAUSSIAN CLOUD CONDITIONS | PRESTELLAR CORES | GRAVOTURBULENT FRAGMENTATION | CLUSTERS | ASTRONOMY & ASTROPHYSICS | ACCRETION | SIMULATIONS | ISOTHERMAL TURBULENCE | Cosmology | Star & galaxy formation | Astrophysics

Journal Article

PLoS ONE, ISSN 1932-6203, 2011, Volume 6, Issue 7, p. e21403

Background: The Gaussian or normal distribution is the most established model to characterize quantitative variation of original data...

VARIABILITY | CELLS | PHEROMONE | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | HEALTH | SELECTION | MAP | Normal Distribution | Statistics as Topic - methods | Data analysis | Plant pathology | Skewed distributions | Science | Gaussian distribution | Data processing | Mathematics | Standard error | Ethics | Ethical standards | Adequacy | Normal distribution | Standard deviation | Variation | Bars

VARIABILITY | CELLS | PHEROMONE | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | HEALTH | SELECTION | MAP | Normal Distribution | Statistics as Topic - methods | Data analysis | Plant pathology | Skewed distributions | Science | Gaussian distribution | Data processing | Mathematics | Standard error | Ethics | Ethical standards | Adequacy | Normal distribution | Standard deviation | Variation | Bars

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 11/2017, Volume 924, Issue C, pp. 1 - 32

Recent advances in knot polynomial calculus allowed us to obtain a huge variety of LMOV integers counting degeneracy of the BPS spectrum of topological...

POLYNOMIAL INVARIANT | REPRESENTATIONS | FIELD-THEORY | BRAIDS | CHERN-SIMONS THEORY | LINKS | MANDELBROT SET | MUTANT KNOTS | KNOT INVARIANTS | RACAH MATRICES | PHYSICS, PARTICLES & FIELDS | Statistics | Gaussian processes | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | Symplectic Geometry | High Energy Physics - Theory

POLYNOMIAL INVARIANT | REPRESENTATIONS | FIELD-THEORY | BRAIDS | CHERN-SIMONS THEORY | LINKS | MANDELBROT SET | MUTANT KNOTS | KNOT INVARIANTS | RACAH MATRICES | PHYSICS, PARTICLES & FIELDS | Statistics | Gaussian processes | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | Symplectic Geometry | High Energy Physics - Theory

Journal Article

The Astrophysical journal, ISSN 1538-4357, 2019, Volume 876, Issue 1, p. 18

The conventional wisdom, dating back to 2012, is that the mass distribution of Galactic double neutron stars (DNSs...

gravitational waves | methods: data analysis | pulsars: general | stars: neutron | ASTRONOMY & ASTROPHYSICS | PULSAR | RELATIVISTIC GRAVITY | Neutron stars | Normal distribution | Gravitational waves | Neutrons | Gaussian distribution | Mass distribution | Statistical inference | Bayesian analysis | Gravity waves

gravitational waves | methods: data analysis | pulsars: general | stars: neutron | ASTRONOMY & ASTROPHYSICS | PULSAR | RELATIVISTIC GRAVITY | Neutron stars | Normal distribution | Gravitational waves | Neutrons | Gaussian distribution | Mass distribution | Statistical inference | Bayesian analysis | Gravity waves

Journal Article

Applied Physics B, ISSN 0946-2171, 11/2016, Volume 122, Issue 11, pp. 1 - 7

The paper presents the results of study of the radial distribution of radiation inside the copper bromide vapor amplifiers depending on the time of return of their own reflected radiation...

Quantum Optics | Physics, general | Engineering, general | Physical Chemistry | Physics | Optics, Lasers, Photonics, Optical Devices | COPPER BROMIDE LASER | DISCHARGE | HYDROGEN | COMBUSTION | PHYSICS, APPLIED | EVOLUTION | KINETICS | HBR LASER | BUFFER GAS | POWER | OPTICS | RADIATION | Amplifiers (Electronics) | Radiation | Amplification | Beams (radiation) | Flattening | Radial distribution | Lasers | Gaussian distribution | Lasing | Gain

Quantum Optics | Physics, general | Engineering, general | Physical Chemistry | Physics | Optics, Lasers, Photonics, Optical Devices | COPPER BROMIDE LASER | DISCHARGE | HYDROGEN | COMBUSTION | PHYSICS, APPLIED | EVOLUTION | KINETICS | HBR LASER | BUFFER GAS | POWER | OPTICS | RADIATION | Amplifiers (Electronics) | Radiation | Amplification | Beams (radiation) | Flattening | Radial distribution | Lasers | Gaussian distribution | Lasing | Gain

Journal Article

Probability theory and related fields, ISSN 1432-2064, 2011, Volume 155, Issue 3-4, pp. 543 - 582

.... The distribution of the (i, j)-th matrix element is given by a probability measure ν ij whose first two moments coincide with those of the corresponding Gaussian ensemble...

Eigenvector distribution | 15B52 | Random matrix | 82B44 | Mathematical and Computational Biology | Statistics for Business/Economics/Mathematical Finance/Insurance | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | Mathematics | Universality | Quantitative Finance | EIGENVALUES | RESPECT | DELOCALIZATION | SEMICIRCLE LAW | STATISTICS & PROBABILITY | ORTHOGONAL POLYNOMIALS | ASYMPTOTICS | SPECTRUM | EDGE | Studies | Normal distribution | Analysis | Eigen values | Mathematical analysis | Edge joints | Eigenvalues | Eigenvectors | Gaussian | Matrices | Spectra | Matrix methods

Eigenvector distribution | 15B52 | Random matrix | 82B44 | Mathematical and Computational Biology | Statistics for Business/Economics/Mathematical Finance/Insurance | Theoretical, Mathematical and Computational Physics | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | Mathematics | Universality | Quantitative Finance | EIGENVALUES | RESPECT | DELOCALIZATION | SEMICIRCLE LAW | STATISTICS & PROBABILITY | ORTHOGONAL POLYNOMIALS | ASYMPTOTICS | SPECTRUM | EDGE | Studies | Normal distribution | Analysis | Eigen values | Mathematical analysis | Edge joints | Eigenvalues | Eigenvectors | Gaussian | Matrices | Spectra | Matrix methods

Journal Article

Astrophysical Journal, ISSN 0004-637X, 06/2017, Volume 841, Issue 2, p. 127

.... We pay special attention to the observed distribution of M-Ni coming from a joint sample of 38 SNe II, which can be described as a skewed-Gaussian- like distribution between 0.005 M-circle dot...

supernovae: general | nuclear reactions nucleosynthesis abundances | methods: data analysis | RED SUPERGIANTS | nuclear reactions, nucleosynthesis, abundances | EXPLOSION | MODEL | 3 DIMENSIONS | LIGHT-CURVES | FAILED SUPERNOVAE | PROGENITOR | ASTRONOMY & ASTROPHYSICS | CORE-COLLAPSE SUPERNOVAE | CONSTRAINTS | SIMULATIONS | Collapse | Supernova | Parameter estimation | Supernovae | Skewed distributions | Luminosity | Gaussian distribution | Mass distribution | Bolometers | Explosions | Physical properties | Massive stars | Photosphere | Neutrinos | Progenitors (astrophysics) | Nickel | Light curve

supernovae: general | nuclear reactions nucleosynthesis abundances | methods: data analysis | RED SUPERGIANTS | nuclear reactions, nucleosynthesis, abundances | EXPLOSION | MODEL | 3 DIMENSIONS | LIGHT-CURVES | FAILED SUPERNOVAE | PROGENITOR | ASTRONOMY & ASTROPHYSICS | CORE-COLLAPSE SUPERNOVAE | CONSTRAINTS | SIMULATIONS | Collapse | Supernova | Parameter estimation | Supernovae | Skewed distributions | Luminosity | Gaussian distribution | Mass distribution | Bolometers | Explosions | Physical properties | Massive stars | Photosphere | Neutrinos | Progenitors (astrophysics) | Nickel | Light curve

Journal Article

Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy, ISSN 1386-1425, 2013, Volume 114, pp. 220 - 230

....•The art of PED interpretation using VEDA is outlined. The principle of operations of the VEDA program written by the author for Potential Energy Distribution (PED...

VEDA | Theoretical spectra | Interpretation | PED | Vibrational spectra | CORRELATED MOLECULAR CALCULATIONS | DFT CALCULATIONS | HOMO-LUMO ANALYSIS | SPECTROSCOPY | NONLINEAR-OPTICAL PROPERTIES | DENSITY-FUNCTIONAL THEORY | AB-INITIO HF | GAUSSIAN-BASIS SETS | 1ST-ORDER HYPERPOLARIZABILITY | SPECTROSCOPIC FT-IR | ELECTRONIC-STRUCTURE

VEDA | Theoretical spectra | Interpretation | PED | Vibrational spectra | CORRELATED MOLECULAR CALCULATIONS | DFT CALCULATIONS | HOMO-LUMO ANALYSIS | SPECTROSCOPY | NONLINEAR-OPTICAL PROPERTIES | DENSITY-FUNCTIONAL THEORY | AB-INITIO HF | GAUSSIAN-BASIS SETS | 1ST-ORDER HYPERPOLARIZABILITY | SPECTROSCOPIC FT-IR | ELECTRONIC-STRUCTURE

Journal Article

Statistics and Computing, ISSN 0960-3174, 5/2018, Volume 28, Issue 3, pp. 689 - 697

We define a distribution on the unit sphere $$\mathbb {S}^{d-1}$$ Sd-1 called the elliptically symmetric angular Gaussian distribution...

Statistics and Computing/Statistics Programs | Spherical distribution | Kent distribution | Angular Gaussian | Artificial Intelligence (incl. Robotics) | Statistical Theory and Methods | Bootstrap | Statistics | Probability and Statistics in Computer Science | DIRECTIONAL-DATA | STATISTICS & PROBABILITY | MANIFOLDS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Analysis | Gaussian processes

Statistics and Computing/Statistics Programs | Spherical distribution | Kent distribution | Angular Gaussian | Artificial Intelligence (incl. Robotics) | Statistical Theory and Methods | Bootstrap | Statistics | Probability and Statistics in Computer Science | DIRECTIONAL-DATA | STATISTICS & PROBABILITY | MANIFOLDS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Analysis | Gaussian processes

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2018, Volume 64, Issue 10, pp. 6620 - 6637

Monge-Kantorovich distances, otherwise known as Wasserstein distances, have received a growing attention in statistics and machine learning as a powerful discrepancy measure for probability distributions...

Gaussian process | Transportation | kriging | Gaussian processes | Predictive models | Probability distribution | positive definite kernel | Random processes | fractional Brownian motion | Kernel | Monge-Kantorovich distance | Space stations | MAXIMUM-LIKELIHOOD-ESTIMATION | APPROXIMATION | LINEAR PREDICTIONS | ASYMPTOTIC PROPERTIES | SENSITIVITY | VALIDATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | PARAMETERS | ENGINEERING, ELECTRICAL & ELECTRONIC | COVARIANCE FUNCTION | RANDOM-FIELD | COMPUTER EXPERIMENTS | Kernels | Regression models | Statistical analysis | Stochastic processes | Machine learning | Gaussian distribution | Probability | Mathematics | Statistics | Machine Learning | Statistics Theory

Gaussian process | Transportation | kriging | Gaussian processes | Predictive models | Probability distribution | positive definite kernel | Random processes | fractional Brownian motion | Kernel | Monge-Kantorovich distance | Space stations | MAXIMUM-LIKELIHOOD-ESTIMATION | APPROXIMATION | LINEAR PREDICTIONS | ASYMPTOTIC PROPERTIES | SENSITIVITY | VALIDATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | PARAMETERS | ENGINEERING, ELECTRICAL & ELECTRONIC | COVARIANCE FUNCTION | RANDOM-FIELD | COMPUTER EXPERIMENTS | Kernels | Regression models | Statistical analysis | Stochastic processes | Machine learning | Gaussian distribution | Probability | Mathematics | Statistics | Machine Learning | Statistics Theory

Journal Article