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1993, Second edition., ISBN 9780471559511, xx, 170 pages
This revised handbook provides a concise summary of the salient facts and formulas relating to 39 major probabiltiy distributions, together with associated diagrams that allow the shape... 
probability theory | Distribution (Probability theory) | Distribution (Théorie des probabilités) | statistical tables | statistical models | statistics
Book
Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2019, Volume 372, Issue 4, pp. 2407 - 2428
The problem of the distribution of the critical points of polynomials in terms of the distribution... 
MATHEMATICS | polynomials | potential theory | Distribution of critical points | Cauchy-transform
Journal Article
Neurocomputing, ISSN 0925-2312, 02/2017, Volume 223, pp. 107 - 117
Journal Article
Journal of Statistical Computation and Simulation, ISSN 0094-9655, 08/2016, Volume 86, Issue 12, pp. 2450 - 2470
Journal Article
Bernoulli, ISSN 1350-7265, 02/2018, Volume 24, Issue 1, pp. 1 - 29
...(d)(R) x P-t (d x) of R-d does exist: mu,(t alpha) be its distribution. The Dirichlet curve associated to the probability alpha is the map t (bar right arrow) mu(t alpha... 
Strassen convex order | Cauchy distribution | Dirichlet random probability | PRIORS | STATISTICS & PROBABILITY | LAWS | Mathematics
Journal Article
Physica A, ISSN 0378-4371, 2017, Volume 468, pp. 750 - 758
We study the size distribution of changes in the gross domestic product (GDP) of 167 countries for the period 1950–2011... 
Theoretical distributions | GDP growth rates | Empirical distribution function tests | BUSINESS FIRMS | PHYSICS, MULTIDISCIPLINARY | Gross domestic product
Journal Article
Statistics & probability letters, ISSN 0167-7152, 2016, Volume 117, pp. 80 - 88
We study some of the main probabilistic properties of the so called multivariate skew-normal-Cauchy distribution... 
Linear transformations | Multivariate skewness and kurtosis coefficients | Skew-normal-Cauchy distribution | Shape mixture | Fisher information matrix | FISHER INFORMATION | SYMMETRIC DISTRIBUTIONS | STATISTICS & PROBABILITY
Journal Article
Journal of statistical planning and inference, ISSN 0378-3758, 2006, Volume 136, Issue 1, pp. 209 - 220
The slash distribution is often used as a challenging distribution for a statistical procedure... 
Multivariate distributions | Skewness | Skew-normal | Slash | Configural polysampling | Kurtosis | Cauchy | cauchy | skew-normal | multivariate distributions | STATISTICS & PROBABILITY | skewness | slash | kurtosis | configural polysampling
Journal Article
1970, Their Distributions in statistics, 2 v.
Book
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 09/2014, Volume 83, Issue 289, pp. 2429 - 2434
We show that the pseudo-random number function, introduced by M. Naor and O. Reingold (FOCS, 1997), possesses one more attractive and useful property. Namely,... 
Integers | Cauchy Schwarz inequality | Exponential functions | Mathematical sequences | Mathematical functions | Mathematical vectors | Exponential sums | Discrepancy | Naor-Reingold pseudo-random function | MATHEMATICS, APPLIED | LINEAR COMPLEXITY
Journal Article
PLoS ONE, ISSN 1932-6203, 06/2016, Volume 11, Issue 6, p. e0156537
In this paper, we introduce the R package gendist that computes the probability density function, the cumulative distribution function, the quantile function and generates random values for several... 
MIXTURE-MODELS | FINITE MIXTURE | SKEW-CAUCHY DISTRIBUTION | INSURANCE CLAIMS | MULTIDISCIPLINARY SCIENCES | TAIL | STUDENT GOOD MODELS | Models, Theoretical | Probability | Statistical software | Usage | Distribution (Probability theory) | Research | Fire insurance | Economic models | Insurance policies | Target recognition | Insurance claims | Computer simulation | Models | Mathematics | Probability distribution | Probability density functions | Distribution functions
Journal Article
Journal of Neural Engineering, ISSN 1741-2560, 08/2016, Volume 13, Issue 5, p. 056009
.... Based on a state-space model containing a non-linear observation function and multiple features as the observations, this paper delves deeply into the effect of the alpha-stable distribution... 
state-space model | α-stable noise | epileptic seizure detection | scalp EEG | SYSTEM | NETWORK | ENGINEERING, BIOMEDICAL | COMPONENT ANALYSIS | PARAMETERS | NEUROSCIENCES | APPROXIMATE ENTROPY | alpha-stable noise | EPILEPTIC SEIZURES | SPECTRUM | ONSET | Artifacts | Algorithms | Scalp | Alpha Rhythm | Humans | Seizures - diagnosis | Entropy | Models, Neurological | Nonlinear Dynamics | Blinking | Electroencephalography - methods | Normal Distribution
Journal Article
Data & Knowledge Engineering, ISSN 0169-023X, 07/2019, Volume 122, pp. 101 - 115
.... In this paper, we propose four different supervised Bayesian classification algorithms where the predictor variables follow all circular wrapped Cauchy distributions... 
Cortical layer | Circular statistics | Bayesian networks | Data mining | Wrapped Cauchy distribution | Classification | MOBIUS TRANSFORMATION | WIND | STATISTICS | COMPUTER SCIENCE, INFORMATION SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | FEATURE-SELECTION | DISCRIMINANT-ANALYSIS | Mineral industry | Algorithms | Neural networks | Mining industry | Analysis
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2012, Volume 391, Issue 22, pp. 5411 - 5421
Journal Article
MethodsX, ISSN 2215-0161, 2019, Volume 6, pp. 938 - 952
A few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD... 
T-X family | The paper proposes an alternative to the Cauchy distribution using the T-X family framework proposed by Alzaatreh et al. . The proposed distribution can be left skewed, right skewed or symmetric. The moments are defined under some restriction on the parameter space | Estimation | Shannon entropy | Moments | Exponentiated-exponential-X family | Cauchy distribution
Journal Article
1994, 2nd ed., Wiley series in probability and mathematical statistics, ISBN 9780471584957, v.
Book
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2015, Volume 432, pp. 102 - 107
The consensus finding in the literature is that the distribution of firm growth rates is best approximated by the Laplace distribution, a particular case of the Subbotin, or exponential power, family... 
Firm growth rates | Theoretical distributions | Empirical distribution function tests | INDUSTRIAL DYNAMICS | EVOLUTION | PHYSICS, MULTIDISCIPLINARY | SIZE | BUSINESS FIRMS | COMPANIES | SCALING BEHAVIOR | FACTS
Journal Article
Circuits, Systems, and Signal Processing, ISSN 0278-081X, 1/2019, Volume 38, Issue 1, pp. 470 - 480
Journal Article
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