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Conditional mixture modelling for heavy‐tailed and skewed data
Overparameterization is a serious concern for multivariate mixture models as it can lead to model overfitting and, as a result, mixture order underestimation. Parsimonious modelling is one of the most effective remedies in this context. In Gaussian mixture models, the majority of parameters is associated with covariance matrices and parsimonious models
Dong, Aqi +3 more
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Application of the Heavy-tailed Estimation in Financial Data
There exist many marginal distributions of high frequency time series data in the Heavy-tailed distribution which stores a great deal of information in its tail.
CHEN Hai-long, HUANG Fei, XIE Sheng
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Type-I heavy tailed family with applications in medicine, engineering and insurance.
In the present study, a new class of heavy tailed distributions using the T-X family approach is introduced. The proposed family is called type-I heavy tailed family. A special model of the proposed class, named Type-I Heavy Tailed Weibull (TI-HTW) model
Wei Zhao +4 more
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Gini covariance plays a vital role in analyzing the relationship between random variables with heavy-tailed distributions. In this papaer, with the existence of a finite second moment, we establish the Gini–Yule–Walker equation to estimate the transition
Jin Zou, Dong Han
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Numerous heavy-tailed distributions are used for modeling financial data and in problems related to the modeling of economics processes. These distributions have higher peaks and heavier tails than normal distributions.
Hanieh Panahi
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Generalized Skew Laplace Random Fields: Bayesian Spatial Prediction for Skew and Heavy Tailed Data
Earlier works on spatial prediction issue often assume that the spatial data are realization of Gaussian random field. However, this assumption is not applicable to the skewed and kurtosis distributed data.
Mohammad Mehdi Saber +2 more
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On Empirical Risk Minimization with Dependent and Heavy-Tailed Data
fixed minor ...
Abhishek Roy 0005 +2 more
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ℓ1 Major Component Detection and Analysis (ℓ1 MCDA) in Three and Higher Dimensional Spaces
Based on the recent development of two dimensional ℓ1 major component detection and analysis (ℓ1 MCDA), we develop a scalable ℓ1 MCDA in the n-dimensional space to identify the major directions of star-shaped heavy-tailed statistical distributions with ...
Zhibin Deng +3 more
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Bayesian Adjustment for Insurance Misrepresentation in Heavy-Tailed Loss Regression
In this paper, we study the problem of misrepresentation under heavy-tailed regression models with the presence of both misrepresented and correctly-measured risk factors.
Michelle Xia
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The Arcsine Exponentiated-X Family: Validation and Insurance Application
In this paper, we propose a family of heavy tailed distributions, by incorporating a trigonometric function called the arcsine exponentiated-X family of distributions.
Wenjing He +3 more
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