The role of asymmetric families of distributions in eliminating risk

• Type: Chapter or Part of a Book
• Date: 2015

Authors

Fernanda Otília Figueiredo (Author) FEP; Maria Ivette Gomes (Author) Other

Book

Title: Theory and Practice of Risk Assessment, C. Kitsos et al. (eds.), Springer Proceedings in Mathematics and Statistics, 136

Pages: 267-277

Indexing

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-00G-VR0

DOI: 10.1007/978-3-319-18029-8_20

Abstract (EN): Modeling is always a crucial component of the risk assessment process. The use of adequate classes of distributions to model real data sets seems sensible to accommodate specific peculiarities of the data and enable us to implement resistant procedures, less sensitive to changes in themodel. Despite the practical advantages of using the normal distribution, it is recognized that most of the data from diverse areas of application, such as economics, environment, finance, insurance, meteorology, reliability and statistical quality control, among others, usually exhibit moderate to strong asymmetry and heavier tails than the normal tail. This study motivates the use of two classes of skew-normal distributions that include highly skewed and heavy-tailed distributions as well as models that are close to the Gaussian family. Some guidelines for inference on the parameters of the model are suggested, and applications to real data sets are presented. © Springer International Publishing Switzerland 2015.

Language: English

Type (Professor's evaluation): Scientific