Symmetric and Asymmetric Distributions
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...
Zapisane w:
| Format: | Online |
|---|---|
| Język: | angielski |
| Wydane: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
|
| Hasła przedmiotowe: | |
| Dostęp online: | ONIX_20210501_9783039366460_718 |
| Etykiety: |
Nie ma etykietki, Dołącz pierwszą etykiete!
|
| _version_ | 1869513918452334592 |
|---|---|
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-68972 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-689722024-04-01T23:19:16Z Symmetric and Asymmetric Distributions Gómez Déniz, Emilio positive and negative skewness ordering fitting distributions Epsilon-skew-Normal Epsilon-skew-Cauchy bivariate densities generalized Cauchy distributions asymmetric bimodal distribution bimodal maximum likelihood slashed half-normal distribution kurtosis likelihood EM algorithm flexible skew-normal distribution skew Birnbaum–Saunders distribution bimodality maximum likelihood estimation Fisher information matrix maximum likelihood estimates type I and II censoring skewness coefficient Weibull censored data truncation half-normal distribution probabilistic distribution class normal distribution identifiability moments power-normal distribution thema EDItEUR::N History and Archaeology::NH History thema EDItEUR::J Society and Social Sciences::JB Society and culture: general::JBF Social and ethical issues 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. 2021-05-01T15:34:29Z 2021-05-01T15:34:29Z 2020 book ONIX_20210501_9783039366460_718 9783039366460 9783039366477 https://directory.doabooks.org/handle/20.500.12854/68972 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2740 https://mdpi.com/books/pdfview/book/2740 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-647-7 10.3390/books978-3-03936-647-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039366460 9783039366477 146 Basel, Switzerland open access |
| spellingShingle | positive and negative skewness ordering fitting distributions Epsilon-skew-Normal Epsilon-skew-Cauchy bivariate densities generalized Cauchy distributions asymmetric bimodal distribution bimodal maximum likelihood slashed half-normal distribution kurtosis likelihood EM algorithm flexible skew-normal distribution skew Birnbaum–Saunders distribution bimodality maximum likelihood estimation Fisher information matrix maximum likelihood estimates type I and II censoring skewness coefficient Weibull censored data truncation half-normal distribution probabilistic distribution class normal distribution identifiability moments power-normal distribution thema EDItEUR::N History and Archaeology::NH History thema EDItEUR::J Society and Social Sciences::JB Society and culture: general::JBF Social and ethical issues Symmetric and Asymmetric Distributions |
| title | Symmetric and Asymmetric Distributions |
| title_full | Symmetric and Asymmetric Distributions |
| title_fullStr | Symmetric and Asymmetric Distributions |
| title_full_unstemmed | Symmetric and Asymmetric Distributions |
| title_short | Symmetric and Asymmetric Distributions |
| title_sort | symmetric and asymmetric distributions |
| topic | positive and negative skewness ordering fitting distributions Epsilon-skew-Normal Epsilon-skew-Cauchy bivariate densities generalized Cauchy distributions asymmetric bimodal distribution bimodal maximum likelihood slashed half-normal distribution kurtosis likelihood EM algorithm flexible skew-normal distribution skew Birnbaum–Saunders distribution bimodality maximum likelihood estimation Fisher information matrix maximum likelihood estimates type I and II censoring skewness coefficient Weibull censored data truncation half-normal distribution probabilistic distribution class normal distribution identifiability moments power-normal distribution thema EDItEUR::N History and Archaeology::NH History thema EDItEUR::J Society and Social Sciences::JB Society and culture: general::JBF Social and ethical issues |
| topic_facet | positive and negative skewness ordering fitting distributions Epsilon-skew-Normal Epsilon-skew-Cauchy bivariate densities generalized Cauchy distributions asymmetric bimodal distribution bimodal maximum likelihood slashed half-normal distribution kurtosis likelihood EM algorithm flexible skew-normal distribution skew Birnbaum–Saunders distribution bimodality maximum likelihood estimation Fisher information matrix maximum likelihood estimates type I and II censoring skewness coefficient Weibull censored data truncation half-normal distribution probabilistic distribution class normal distribution identifiability moments power-normal distribution thema EDItEUR::N History and Archaeology::NH History thema EDItEUR::J Society and Social Sciences::JB Society and culture: general::JBF Social and ethical issues |
| url | ONIX_20210501_9783039366460_718 |