A Constructive Representation of Univariate Skewed Distributions
نویسندگان
چکیده
We introduce a general perspective on the introduction of skewness into symmetric distributions. Through inverse probability integral transformations we provide a constructive representation of skewed distributions, where the skewing mechanism and the original symmetric distributions are specified separately. We study the effects of the skewing mechanism on e.g. modality, tail behaviour and the amount of skewness generated. The representation is used to introduce novel classes of skewed distributions, where we induce certain prespecified characteristics through particular choices of the skewing mechanism. Finally, we use a Bayesian linear regression framework to compare the new classes with some existing distributions in the context of two empirical examples.
منابع مشابه
Bayesian Multivariate Regression Analysis with a New Class of Skewed Distributions
In this paper, we introduce a novel class of skewed multivariate distributions and, more generally, a method of building such a class on the basis of univariate skewed distributions. The method is based on a general linear transformation of a multidimensional random variable with independent components, each with a skewed distribution. Our proposed class of multivariate skewed distributions has...
متن کاملUsing Weighted Distributions for Modeling Skewed, Multimodal and Truncated Data
When the observations reflect a multimodal, asymmetric or truncated construction or a combination of them, using usual unimodal and symmetric distributions leads to misleading results. Therefore, distributions with ability of modeling skewness, multimodality and truncation have been in the core of interest in statistical literature, always. There are different methods to contract ...
متن کاملEconomic design of x¯ control charts considering process shift distributions
Process shift is an important input parameter in the economic design of control charts. Earlier x control chart designs considered constant shifts to occur in the mean of the process for a given assignable cause. This assumption has been criticized by many researchers since it may not be realistic to produce a constant shift whenever an assignable cause occurs. To overcome this difficulty...
متن کاملA Few Characterizations of the Univariate Continuous Distributions
Various characterizations of distributions, in their generality, are presented in terms of the conditional expectations. Some special examples are given as well.
متن کاملAsymmetric Univariate and Bivariate Laplace and Generalized Laplace Distributions
Alternative specifications of univariate asymmetric Laplace models are described and investigated. A more general mixture model is then introduced. Bivariate extensions of these models are discussed in some detail, with particular emphasis on associated parameter estimation strategies. Multivariate versions of the models are briefly introduced.
متن کامل