Symmetric and Asymmetric Distributions : Theoretical Developments and Applications

In recent years, the advances and abilities of computer software have substantially increased the number of scientific publications that seek to introduce new probabilistic modelling frameworks, including continuous and discrete approaches, and univariate and multivariate models. Many of these theor...

Full description

Saved in:
Bibliographic Details
Other Authors: Gómez Déniz, Emilio (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Online Access:Get Fullteks
DOAB: description of the publication
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 03771naaaa2200661uu 4500
001 doab_20_500_12854_68972
005 20210501
020 |a books978-3-03936-647-7 
020 |a 9783039366460 
020 |a 9783039366477 
024 7 |a 10.3390/books978-3-03936-647-7  |c doi 
041 0 |a English 
042 |a dc 
072 7 |a H  |2 bicssc 
072 7 |a JFFP  |2 bicssc 
100 1 |a Gómez Déniz, Emilio  |4 edt 
700 1 |a Gómez Déniz, Emilio  |4 oth 
245 1 0 |a Symmetric and Asymmetric Distributions : Theoretical Developments and Applications 
260 |a Basel, Switzerland  |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2020 
300 |a 1 electronic resource (146 p.) 
506 0 |a Open Access  |2 star  |f Unrestricted online access 
520 |a In recent years, the advances and abilities of computer software have substantially increased the number of scientific publications that seek to introduce new probabilistic modelling frameworks, including continuous and discrete approaches, and univariate and multivariate models. Many of these theoretical and applied statistical works are related to distributions that try to break the symmetry of the normal distribution and other similar symmetric models, mainly using Azzalini's scheme. This strategy uses a symmetric distribution as a baseline case, then an extra parameter is added to the parent model to control the skewness of the new family of probability distributions. The most widespread and popular model is the one based on the normal distribution that produces the skewed normal distribution. In this Special Issue on symmetric and asymmetric distributions, works related to this topic are presented, as well as theoretical and applied proposals that have connections with and implications for this topic. Immediate applications of this line of work include different scenarios such as economics, environmental sciences, biometrics, engineering, health, etc. This Special Issue comprises nine works that follow this methodology derived using a simple process while retaining the rigor that the subject deserves. Readers of this Issue will surely find future lines of work that will enable them to achieve fruitful research results. 
540 |a Creative Commons  |f https://creativecommons.org/licenses/by/4.0/  |2 cc  |4 https://creativecommons.org/licenses/by/4.0/ 
546 |a English 
650 7 |a Humanities  |2 bicssc 
650 7 |a Social interaction  |2 bicssc 
653 |a positive and negative skewness 
653 |a ordering 
653 |a fitting distributions 
653 |a Epsilon-skew-Normal 
653 |a Epsilon-skew-Cauchy 
653 |a bivariate densities 
653 |a generalized Cauchy distributions 
653 |a asymmetric bimodal distribution 
653 |a bimodal 
653 |a maximum likelihood 
653 |a slashed half-normal distribution 
653 |a kurtosis 
653 |a likelihood 
653 |a EM algorithm 
653 |a flexible skew-normal distribution 
653 |a skew Birnbaum-Saunders distribution 
653 |a bimodality 
653 |a maximum likelihood estimation 
653 |a Fisher information matrix 
653 |a maximum likelihood estimates 
653 |a type I and II censoring 
653 |a skewness coefficient 
653 |a Weibull censored data 
653 |a truncation 
653 |a half-normal distribution 
653 |a probabilistic distribution class 
653 |a normal distribution 
653 |a identifiability 
653 |a moments 
653 |a power-normal distribution 
856 4 0 |a www.oapen.org  |u https://mdpi.com/books/pdfview/book/2740  |7 0  |z Get Fullteks 
856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/68972  |7 0  |z DOAB: description of the publication