ABSTRACT

This book reviews the state-of-the-art advances in skew-elliptical distributions and provides many new developments in a single volume, collecting theoretical results and applications previously scattered throughout the literature. The main goal of this research area is to develop flexible parametric classes of distributions beyond the classical no

chapter 1|23 pages

The Skew-Normal Distribution

ByAlessandra Dalla Valle

chapter 2|18 pages

The Closed Skew-Normal Distribution

ByGraciela Gonza´lez-Far´ıas, J. Armando Domı´nguez-Molina, and Arjun K. Gupta

chapter 3|22 pages

Skew-Elliptical Distributions

chapter 4|16 pages

Generalized Skew-Normal Distributions

chapter 5|20 pages

Skew-Symmetric and Generalized Skew-Elliptical Distributions

ByMarc G. Genton

chapter 6|12 pages

Elliptical Models Subject to Hidden Truncation or Selective Sampling

ByBarry C. Arnold, Robert J. Beaver

chapter 7|18 pages

From Symmetric to Asymmetric Distributions: A Unified Approach

ByReinaldo B. Arellano-Valle and Guido E. del Pino

chapter 8|21 pages

Skewed Link Models for Categorical Response Data

ByMing-Hui Chen

chapter 9|19 pages

Skew-Elliptical Distributions in Bayesian Inference

ByBrunero Liseo

chapter 10|17 pages

Bayesian Multivariate Skewed Regression Modeling with an Application to Firm Size

ByJose´ T. A. S. Ferreira and Mark F. J. Steel

chapter 12|18 pages

A Skew-in-Mean GAR C H Model

chapter 13|19 pages

Skew-Normality in Stochastic Frontier Analysis

ByJ. Armando Domı´nguez-Molina, Graciela Gonza´lez-Far´ıas, and Rogelio Ramos-Quiroga

chapter 15|20 pages

Time Series Analysis with a Skewed Kalman Filter

ByPhilippe Naveau, Marc G. Genton, and Caspar Ammann

chapter 16|11 pages

Spatial Prediction of Rainfall Using Skew-Normal Processes

ByHyoung-Moon Kim, Eunho Ha, and Bani K. Mallick

chapter 18|11 pages

An Astronomical Distance Determination Method Using Regression with Skew-Normal Errors

ByLaurent Eyer, Marc G. Genton

chapter 19|18 pages

On a Bayesian Multivariate Survival Model with a Skewed Frailty

BySujit K. Sahu, Dipak K. Dey

chapter 20|20 pages

Linear Mixed Effects Models with Flexible Generalized Skew-Elliptical Random Effects

ByYanyuan Ma, Marc G. Genton, and Marie Davidian