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DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study
DISTRIBUTIONS WITH SINGULARITIES Punctual and Local Study
2015/9/29
DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study.
Concentration of the information in data with log-concave distributions
Concentration entropy log-concave distributions
2011/2/28
A concentration property of the functional −log f(X) is demonstrated,when a random vector X has a log-concave density f on Rn.This concentration property implies in particular an extension of th...
On simulating univariate and multivariate Burr type III and type XII distributions
Distribution tting Moments Monte Carlo
2010/9/26
This paper describes a method for simulating univariate and multivariate Burr Type III and Type XII distributions with speci ed correlation matrices. The methodology is based on the derivation of the ...
Probability distributions and estimation of Ali-Mikhail-Haq copula
Dependence measure Tail dependence
2010/9/21
The Pearson product-moment correlation commonly used as statistical dependence measure was developed assuming normal marginal and addresses only linear dependence. In most applications, the distributi...
The performance of mutual information for mixture of bivariate normal distributions based on robust kernel estimation
Mutual Information Kernel Density Minimum Volume Ellipsoid
2010/9/25
Mutual Information (MI) measures the degree of association between variables in nonlinear model as well as linear models. It can also be used to measure the dependency between variables in mixture dis...
Synthesis of distributions through sets: A unitary approach
Mean of a distribution in a class probability metric
2010/9/26
This paper suggests a general framework for dealing in a unified way with the problem of the synthesis of a distribution through sets. Following this view, interesting methods and quantities of sinthe...
On limit distributions of normalized truncated variation, upward truncated variation and downward truncated variation processes
upward truncated variation downward truncated variation processes
2010/11/19
In the paper we introduce the truncated variation, upward truncated variation and downward truncated variation. These are closely related to the total variation but are well-defined even if the latte...
Many communication channels with discrete input have non-uniform capacity achieving probability mass functions (PMF). By parsing a stream of independent and equiprobable bits according to a full prefi...
Distributions of order statistics
Order statistics Probability function Probability density function
2010/9/13
In this study, we examined distributions of order statistics corresponding to identically, non-identically, dependent, independent, discrete, continuous and discontinuous random variables and the rela...
A goodness of fit approach to monotone variance residual life class of life distributions
DVRL (IVRL) class of life distribution exponentiality
2010/9/13
Based on the goodness of fit approach, a new test is presented for testing exponentiality versus decreasing (increasing) variance remaining life distribution DVRL (IVRL). The percentiles of these test...
Nonparametric test for class of of life distributions
Life distribution RNBRUE U-statistic
2010/9/15
The renewal new is better than renewal used in expectation (RNBRUE) class of life distributions is derived.This class is defined based on comparing random residual life at a certain age and its equili...
The distributions of sums, products and ratios of inverted bivariate beta distribution
Bivariate inverted beta distributions Sums Ratios Percentiles
2010/9/14
In this paper we derive the exact distributions of sums, products, and ratios of two random variables when they follow the bivariate inverted beta distribution. Forms of the probability density functi...
On some properties of life distributions with increasing elasticity and log-concavity
Life distributions Log-concavity Closure property
2010/9/14
The purpose of this paper is to extend and systematize known results in log-concave and log-convex properties of life distributions. Also, to discuss the closure property of increasing generalized fai...
A family of multivariate Abel series distributions of order k
Multivariate Abel series distributions of order k quasi multivariate logarithmic series distribution of order k
2010/9/14
In this paper an attempt is made to define the multivariate abel series distributions (MASDs) of order k. From MASD of order k, a new distribution called the quasi multivariate logarithmic series dist...
An Inequality for the Asymmetry of Distributions and a Berry-Esseen Theorem for Random Summation
Random number of i.i.d. random variables Central limit theorem for random sums Asymmetry of distributions Berry-Esseen theorem for random sums
2008/7/2
An Inequality for the Asymmetry of Distributions and a Berry-Esseen Theorem for Random Summation.