A New Sine-G Family of Distributions: Properties and Applications
This paper is devoted to the study of a new family of distributions based on a sine transformation. In some situations, we show that the new family provides a suitable alternative to the so-called sine-G family of distributions, with the same number of parameters. Among others, some of its significa...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad Simón Bolívar
2019-10-01
|
| Series: | Bulletin of Computational Applied Mathematics |
| Subjects: | |
| Online Access: | https://drive.google.com/open?id=1AY4vBnSmg0yTbqZfKMH2hJqe9rehEnZE |
| _version_ | 1818873479781416960 |
|---|---|
| author | Zafar Mahmood Christophe Chesneau Muhammad Hussain Tahir |
| author_facet | Zafar Mahmood Christophe Chesneau Muhammad Hussain Tahir |
| author_sort | Zafar Mahmood |
| collection | DOAJ |
| description | This paper is devoted to the study of a new family of distributions based on a sine transformation. In some situations, we show that the new family provides a suitable alternative to the so-called sine-G family of distributions, with the same number of parameters. Among others, some of its significant mathematical properties are derived, including shapes of probability density and hazard rate functions, asymptotic, quantile function, useful expansions, moments and moment generating function. Then, a special member with two parameters, using the inverse Weibull distribution as baseline, is introduced and investigated in detail. By considering this new distribution as a statistical model, the parameters are estimated via the maximum likelihood method. A simulation study is carried out to assess the performance of the obtained estimators. The applications on two real data sets are explored, showing the ability of the proposed model to fit various type of data sets. |
| first_indexed | 2024-12-19T12:55:22Z |
| format | Article |
| id | doaj.art-06d991feaeed46bbad7d361c59550704 |
| institution | Directory Open Access Journal |
| issn | 2244-8659 |
| language | English |
| last_indexed | 2024-12-19T12:55:22Z |
| publishDate | 2019-10-01 |
| publisher | Universidad Simón Bolívar |
| record_format | Article |
| series | Bulletin of Computational Applied Mathematics |
| spelling | doaj.art-06d991feaeed46bbad7d361c595507042022-12-21T20:20:23ZengUniversidad Simón BolívarBulletin of Computational Applied Mathematics2244-86592019-10-01715381A New Sine-G Family of Distributions: Properties and ApplicationsZafar Mahmood0Christophe Chesneau1https://orcid.org/0000-0002-1522-9292Muhammad Hussain Tahir2https://orcid.org/0000-0002-3347-8022Department of Statistics, Government Degree College, Khairpur Tamewali, Bahawalpur, Pakistan; and Department of Statistics, The Islamia University of Bahawalpur, Pakistan.Université de Caen, LMNO, Campus II, Science 3, 14032, Caen, France.Department of Statistics, The Islamia University of Bahwalpur, Pakistan.This paper is devoted to the study of a new family of distributions based on a sine transformation. In some situations, we show that the new family provides a suitable alternative to the so-called sine-G family of distributions, with the same number of parameters. Among others, some of its significant mathematical properties are derived, including shapes of probability density and hazard rate functions, asymptotic, quantile function, useful expansions, moments and moment generating function. Then, a special member with two parameters, using the inverse Weibull distribution as baseline, is introduced and investigated in detail. By considering this new distribution as a statistical model, the parameters are estimated via the maximum likelihood method. A simulation study is carried out to assess the performance of the obtained estimators. The applications on two real data sets are explored, showing the ability of the proposed model to fit various type of data sets.https://drive.google.com/open?id=1AY4vBnSmg0yTbqZfKMH2hJqe9rehEnZEreal life data setstrigonometric distributionsmomentsinverse weibull distribution |
| spellingShingle | Zafar Mahmood Christophe Chesneau Muhammad Hussain Tahir A New Sine-G Family of Distributions: Properties and Applications Bulletin of Computational Applied Mathematics real life data sets trigonometric distributions moments inverse weibull distribution |
| title | A New Sine-G Family of Distributions: Properties and Applications |
| title_full | A New Sine-G Family of Distributions: Properties and Applications |
| title_fullStr | A New Sine-G Family of Distributions: Properties and Applications |
| title_full_unstemmed | A New Sine-G Family of Distributions: Properties and Applications |
| title_short | A New Sine-G Family of Distributions: Properties and Applications |
| title_sort | new sine g family of distributions properties and applications |
| topic | real life data sets trigonometric distributions moments inverse weibull distribution |
| url | https://drive.google.com/open?id=1AY4vBnSmg0yTbqZfKMH2hJqe9rehEnZE |
| work_keys_str_mv | AT zafarmahmood anewsinegfamilyofdistributionspropertiesandapplications AT christophechesneau anewsinegfamilyofdistributionspropertiesandapplications AT muhammadhussaintahir anewsinegfamilyofdistributionspropertiesandapplications AT zafarmahmood newsinegfamilyofdistributionspropertiesandapplications AT christophechesneau newsinegfamilyofdistributionspropertiesandapplications AT muhammadhussaintahir newsinegfamilyofdistributionspropertiesandapplications |