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Gaussian distributions

A regression characterization of inverse Gaussian distributions
and application to EDF goodness of fit tests

A regression characterization of inverse Gaussian distributions and application to EDF goodness of fit tests

... inverse Gaussian distributions using the re- gression of a suitable statistic based on a given random ...inverse Gaussian distribution based on a con- ditional joint density function of the ...

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Bayes reliability measures of Lognormal and inverse Gaussian distributions under ML II ε contaminated class of prior distributions

Bayes reliability measures of Lognormal and inverse Gaussian distributions under ML II ε contaminated class of prior distributions

... The numerical illustrations suggest that reasonable amount of misspecification in the prior distribution belonging to the class of ML-II ε-contaminated does not affect the Bayesian reliability measures for lognormal and ...

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Tests of Fit for Normal Variance Inverse Gaussian Distributions

Tests of Fit for Normal Variance Inverse Gaussian Distributions

... Abstract —Goodness–of–fit tests for the family of symmetric normal variance inverse Gaussian distri- butions are constructed. The tests are based on a weighted integral incorporating the empirical char- acteristic ...

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Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions

Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions

... , s > 0, (7) where α > 0, β > 0 and it is characteristically right-skewed when graphed. As α decreases, particularly for values less than unity, the density becomes nearly symmetric as the curve spread ...

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A reliability application of the mixture of inverse Gaussian distributions

A reliability application of the mixture of inverse Gaussian distributions

... For the same two sets of initial quality as in Figure 2, a comparison of the mixture's pdf and hazard rate is made with that of a single Inverse Gaussian having a fixed initial condition[r] ...

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What Is the Difference between Gamma and Gaussian Distributions?

What Is the Difference between Gamma and Gaussian Distributions?

... which describes the distance between Gamma and Gau- ssian distributions. The purpose of this paper is to derive asymptotic sharper bound in Equation (5), which much improves the constant by directly using ...

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Analytical properties of generalized Gaussian distributions

Analytical properties of generalized Gaussian distributions

... systems with time-hopping (TH) the interference should be modeled with probability distributions that are more impulsive than the Gaussian. Moreover, it has been shown that for the moderate and high ...

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Moments of the generalized hyperbolic distribution

Moments of the generalized hyperbolic distribution

... In this paper we demonstrate a recursive method for obtaining the moments of the gener- alized hyperbolic distribution. The method is readily programmable for numerical evaluation of moments. For low order moments we ...

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Gaussian Mixture Latent Vector Grammars

Gaussian Mixture Latent Vector Grammars

... present Gaussian Mixture LVeGs (GM-LVeGs), a special case of LVeGs that uses mixtures of Gaussian distributions as the weight functions of fine-grained production ...

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Statistical Analysis and Data Analysis of Stock Market by Interacting Particle Models

Statistical Analysis and Data Analysis of Stock Market by Interacting Particle Models

... In Figure 9, for d = 2 and λ = 1.01 (around the critical point), we discuss the statistical behavior of the price changes | Δ S | on the parameter θ . In Figure 9(a) and Figure 9(b), since the number of occupied sites is ...

8

Assessing misspecification of individual homogeneity assumption in multi-state models based on asymptotic theory

Assessing misspecification of individual homogeneity assumption in multi-state models based on asymptotic theory

... inverse Gaussian distributions for heterogeneity (individual frailty factor) and studies based on individual homogeneous multi-state models, also confirms the negative bias in the estimation of mean ...

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High throughput quantitative phenotyping of plant resistance using chlorophyll fluorescence image analysis

High throughput quantitative phenotyping of plant resistance using chlorophyll fluorescence image analysis

... distributions as mixtures of Gaussian distributions or iii) thresholding based on the probability of misclassifi- cation of a healthy pixel followed by a subsequent clus- tering of disea[r] ...

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On some aspects of the asymptotic properties of Bayesian approaches in nonparametric and semiparametric models*

On some aspects of the asymptotic properties of Bayesian approaches in nonparametric and semiparametric models*

... Beta distributions and nonparametric mixtures of Gaussian distributions lead to adaptive minimax concentration rates over collections of Hölder classes up to a log n term, see [Rousseau, 2010] and ...

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Conical diffraction of a Gaussian beam with a two crystal cascade

Conical diffraction of a Gaussian beam with a two crystal cascade

... intensity distributions of conically diffracted paraxial light beams [6–8]. These predictions have been shown to agree well with theory for the case of the conically diffracted Gaussian beam [9,10]. The ...

7

Choice of positive distribution law for nuclear data

Choice of positive distribution law for nuclear data

... truncated Gaussian distribution laws for small relative standard deviations and a lognormal law for larger uncertainty levels ...truncated Gaussian laws can modify the mean and standard deviation ...

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Heavy Tailed Distributions Generated by Randomly Sampled Gaussian, Exponential and Power Law Functions

Heavy Tailed Distributions Generated by Randomly Sampled Gaussian, Exponential and Power Law Functions

... y is the continuous derivative of the inverse of y x ( ) . In the following, y x ( ) will be one of the functions (“signal shapes”) to be randomly sampled, i.e. a Gaussian, an exponential or a power-law function ...

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Model based clustering of non Gaussian panel data based on skew t distributions

Model based clustering of non Gaussian panel data based on skew t distributions

... We propose a model-based method to cluster units within a panel. The underlying model is autoregressive and non-Gaussian, allowing for both skewness and fat tails, and the units are clustered according to their ...

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Coherent Asset Allocation and Diversification in the Presence of Stress Events

Coherent Asset Allocation and Diversification in the Presence of Stress Events

... marginal distributions of sub-portfolio returns cannot be satisfactorily modelled by a Gaussian distribution, or when the portfolio contains strongly non-linear products, then the mapping from the joint ...

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Scale Mixture of Gaussian Modelling of Polarimetric SAR Data

Scale Mixture of Gaussian Modelling of Polarimetric SAR Data

... a Gaussian- like roundness to each dimensional distribution, the second set (location 2) has a reasonably pointed peak with smoothly sloping sides, quite triangular in appearance, and the third set (location 3) ...

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Ellipsoidal Approximation of Distributions and Its Applications

Ellipsoidal Approximation of Distributions and Its Applications

... -algebra of Borel sets is chosen then the finding of is practically impossible. Therefore it is expedient to assume the finite systems of the typical regions as a class of the sets A. It is natural to choose as such ...

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