On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution
Through this chapter, we introduce a new class of two-piece asymmetric normal distribution suitable for asymmetric and plurimodal situations. We study some important aspects of this distribution by deriving explicit expressions for its distribution function, characteristic function, reliability meas...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2018-03-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25894616/view |
| _version_ | 1817980118858989568 |
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| author | C. Satheesh Kumar M.R. Anusree |
| author_facet | C. Satheesh Kumar M.R. Anusree |
| author_sort | C. Satheesh Kumar |
| collection | DOAJ |
| description | Through this chapter, we introduce a new class of two-piece asymmetric normal distribution suitable for asymmetric and plurimodal situations. We study some important aspects of this distribution by deriving explicit expressions for its distribution function, characteristic function, reliability measures etc. A location-scale extension of this class of distribution is considered and carried out the maximum likelihood estimation of its parameters. Further we have fitted the distribution to a real life data set for illustrating the usefulness of the model. |
| first_indexed | 2024-04-13T22:49:30Z |
| format | Article |
| id | doaj.art-a1f0e49829cd4303aa01cb08c37b49a9 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-13T22:49:30Z |
| publishDate | 2018-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-a1f0e49829cd4303aa01cb08c37b49a92022-12-22T02:26:14ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872018-03-0117110.2991/jsta.2018.17.1.8On Some Aspects of a New Class of Two-Piece Asymmetric Normal DistributionC. Satheesh KumarM.R. AnusreeThrough this chapter, we introduce a new class of two-piece asymmetric normal distribution suitable for asymmetric and plurimodal situations. We study some important aspects of this distribution by deriving explicit expressions for its distribution function, characteristic function, reliability measures etc. A location-scale extension of this class of distribution is considered and carried out the maximum likelihood estimation of its parameters. Further we have fitted the distribution to a real life data set for illustrating the usefulness of the model.https://www.atlantis-press.com/article/25894616/viewMethod of maximum likelihoodPlurimodalityProbability density functionSkewnessSkew normal distribution |
| spellingShingle | C. Satheesh Kumar M.R. Anusree On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution Journal of Statistical Theory and Applications (JSTA) Method of maximum likelihood Plurimodality Probability density function Skewness Skew normal distribution |
| title | On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution |
| title_full | On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution |
| title_fullStr | On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution |
| title_full_unstemmed | On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution |
| title_short | On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution |
| title_sort | on some aspects of a new class of two piece asymmetric normal distribution |
| topic | Method of maximum likelihood Plurimodality Probability density function Skewness Skew normal distribution |
| url | https://www.atlantis-press.com/article/25894616/view |
| work_keys_str_mv | AT csatheeshkumar onsomeaspectsofanewclassoftwopieceasymmetricnormaldistribution AT mranusree onsomeaspectsofanewclassoftwopieceasymmetricnormaldistribution |