Skew \(t\) distributions via the sinh-arcsinh transformation
From MaRDI portal
Publication:1761549
DOI10.1007/s11749-010-0222-2zbMath1253.60019OpenAlexW2094961362MaRDI QIDQ1761549
Arthur Pewsey, M. C. Jones, J. F. Rosco
Publication date: 15 November 2012
Published in: Test (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11749-010-0222-2
heavy tailsskewnesstwo-piece distributionsStudent's \(t\) distributionAzzalini-type distributionsquantile-based measures
Asymptotic properties of parametric estimators (62F12) Parametric tolerance and confidence regions (62F25) Probability distributions: general theory (60E05)
Related Items
The extended slash distribution of the sum of two independent logistic random variables, On Blest’s Measure of Kurtosis Adjusted for Skewness, On modelling asymmetric data using two-piece sinh-arcsinh distributions, Objective Bayesian analysis for the multivariate skew-\(t\) model, Bayesian modelling of skewness and kurtosis with two-piece scale and shape distributions, Distributions derived from the continuous iteration of the hyperbolic sine function, Parametric bootstrap edf-based goodness-of-fit testing for sinh-arcsinh distributions, Relationships between distributions with certain symmetries, Discussion, Bimodal extension based on the skew-\(t\)-normal distribution, Modelling and forecasting the kurtosis and returns distributions of financial markets: irrational fractional Brownian motion model approach, A parametric regression framework for the skew sinh-arcsinh \(t\) distribution, Inference for quantile measures of kurtosis, peakedness, and tail weight, On some circular distributions induced by inverse stereographic projection, Inference for quantile measures of skewness, The sinh-arcsinhed logistic family of distributions: properties and inference, Generalized autoregressive score models based on sinh-arcsinh distributions for time series analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On parameter orthogonality in symmetric and skew models
- An introduction to copulas.
- Families of distributions arising from distributions of order statistics
- Skewness and asymmetry: Measures and orderings
- Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions
- Tailweight with respect to the mode for unimodal distributions
- Rejoinder: ``The \(t\) family and their close and distant relations
- Some measures for asymmetry of distributions
- Robust Likelihood Methods Based on the Skew-t and Related Distributions
- The t Copula and Related Copulas
- Skewness by Splitting the Scale Parameter
- Sinh-arcsinh distributions
- On Bayesian Modeling of Fat Tails and Skewness
- Polar Generation of Random Variates with the t-Distribution
- Autoregressive Conditional Density Estimation
- Problems of inference for Azzalini's skewnormal distribution
- Distributions Generated by Perturbation of Symmetry with Emphasis on a Multivariate Skewt-Distribution
- A Skew Extension of the T-Distribution, with Applications
- Flexible Class of Skew-Symmetric Distributions
- Multivariate T-Distributions and Their Applications
- Asymmetry and Gradient Asymmetry Functions: Density‐Based Skewness and Kurtosis
- A Simplex Method for Function Minimization
- A general class of multivariate skew-elliptical distributions