Search results for "Generalized gamma distribution"

showing 5 items of 5 documents

On the world distribution of income

2015

In this paper we demonstrate that the size distribution of the world income may be reasonably approximated by a log-normal distribution rather then by a power law, as has previously been believed. This result has been shown to be quite persistent as we move from 1985 to 2011.

Economics and Econometricsbusiness.industrygeneralized gamma distribution log normal power law world income05 social sciencesGeneralized gamma distributionDistribution (economics)Settore SECS-P/06 - Economia Applicata01 natural sciencesPower law010305 fluids & plasmasSettore SECS-S/06 -Metodi Mat. dell'Economia e d. Scienze Attuariali e Finanz.0502 economics and business0103 physical sciencesLog-normal distributionEconomicsEconometrics050207 economicsbusinessMathematical economics
researchProduct

A characterization of the distribution of a weighted sum of gamma variables through multiple hypergeometric functions

2008

Applying the theory on multiple hypergeometric functions, the distribution of a weighted convolution of Gamma variables is characterized through explicit forms for the probability density function, the distribution function and the moments about the origin. The main results unify some previous contributions in the literature on nite convolution of Gamma distributions. We deal with computational aspects that arise from the representations in terms of multiple hypergeometric functions, introducing a new integral representation for the fourth Lauricella function F (n) D and its con uent form (n) 2 , suitable for numerical integration; some graphics of the probability density function and distr…

Lauricella functionConfluent hypergeometric functionmultiple numerical integration.Applied MathematicsGeneralized gamma distributionMathematical analysisdouble Dirichlet averagecon uent hypergeometric functionMoment-generating functionConvolution of probability distributionsGeneralized hypergeometric functionWeighted Gamma ConvolutionDirichlet averageGeneralized integer gamma distributionApplied mathematicsSettore SECS-S/01 - StatisticaIncomplete gamma functionAnalysisInverse-gamma distributionMathematicsIntegral Transforms and Special Functions
researchProduct

Second-order interaction in a Trivariate Generalized Gamma Distribution

2004

The concept of second- (and higher-) order interaction is widely used in categorical data analysis, where it proves useful for explaining the interdependence among three (or more) variables. Its use seems to be less common for continuous multivariate distributions, most likely owing to the predominant role of the Multivariate Normal distribution, for which any interaction involving more than two variables is necessarily zero. In this paper we explore the usefulness of a second-order interaction measure for studying the interdependence among three continuous random variables, by applying it to a trivariate Generalized Gamma distribution proposed by Bologna(2000).

Multivariate statisticsInteractionJoint probability distributionStatisticsGeneralized gamma distributionGeneralized integer gamma distributionMultivariate normal distributionStatisticalClassificationRandom variableMeasure (mathematics)Zero (linguistics)Mathematics
researchProduct

Moments for Some Kumaraswamy Generalized Distributions

2014

Explicit expansions for the moments of some Kumaraswamy generalized (Kw-G) distributions (Cordeiro and de Castro, 2011) are derived using special functions. We explore the Kw-normal, Kw-gamma, Kw-beta, Kw-t, and Kw-F distributions. These expressions are given as infinite weighted linear combinations of well-known special functions for which numerical routines are readily available.

Statistics and ProbabilityNormal distributionSpecial functionsMathematical analysisGeneralized gamma distributionGeneralized beta distributionGeneralized integer gamma distributionLinear combinationInverse distributionVariance-gamma distributionMathematicsCommunications in Statistics - Theory and Methods
researchProduct

A statistical model for magnitudes and angles of wavelet frame coefficients and its application to texture retrieval

2014

Abstract This paper presents a texture descriptor based on wavelet frame transforms. At each position in the image, and for each resolution level, we consider both vertical and horizontal wavelet detail coefficients as the components of a bivariate random vector. The magnitudes and angles of these vectors are computed. At each level the empirical histogram of magnitudes is modeled by a Generalized Gamma distribution, and the empirical histogram of angles is modeled by a different version of the von Mises distribution that accounts for histograms with 2 modes. Each texture is characterized by few parameters. A new distance is presented (based on the Kullback–Leibler divergence) that allows g…

business.industryTexture DescriptorGeneralized gamma distributionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONPattern recognitionWaveletImage textureArtificial IntelligenceComputer Science::Computer Vision and Pattern RecognitionHistogramSignal Processingvon Mises distributionComputer Vision and Pattern RecognitionArtificial intelligenceDivergence (statistics)businessImage retrievalSoftwareMathematicsPattern Recognition
researchProduct