The Topp-Leone generator of distributions: properties and inferences
In this paper, a new framework for generating lifetime distributions is introduced, called the Topp-Leone generated (TLG) family of distributions. The generator of the TLG family is the Topp-Leone distribution, which was proposed by Topp and Leone in 1955. Some various properties of the TLG distri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2016-10-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/38-5/38-5-9.pdf |
| _version_ | 1819243611802304512 |
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| author | Yuwadee Sangsanit Winai Bodhisuwan |
| author_facet | Yuwadee Sangsanit Winai Bodhisuwan |
| author_sort | Yuwadee Sangsanit |
| collection | DOAJ |
| description | In this paper, a new framework for generating lifetime distributions is introduced, called the Topp-Leone generated
(TLG) family of distributions. The generator of the TLG family is the Topp-Leone distribution, which was proposed by Topp
and Leone in 1955. Some various properties of the TLG distribution are discussed, e.g., survival function, hazard function,
moments and generating function. In addition, the TLG family is capable of improving fitted results and tail behavior of
existing distributions. We present the Topp-Leone generalized exponential (TLGE) distribution as an example of the TLG
distribution. Some graphical representations related to the probability density function and hazard function of the TLGE
distribution are provided. In application study, the goodness of fit test based on the TLGE, the generalized exponential (GE),
and exponentiated generalized exponential (EGE) distributions are compared. The results emphasize that the TLGE distribution
can be considered as a competitive distribution for the GE and EGE distributions. |
| first_indexed | 2024-12-23T14:58:27Z |
| format | Article |
| id | doaj.art-25b6d70e6bf0442880c392d3a8742a42 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-23T14:58:27Z |
| publishDate | 2016-10-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-25b6d70e6bf0442880c392d3a8742a422022-12-21T17:42:41ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952016-10-0138553754810.14456/sjst-psu.2016.69The Topp-Leone generator of distributions: properties and inferencesYuwadee Sangsanit0Winai Bodhisuwan1Department of Statistics, Faculty of Science, Kasetsart University, Chatuchak, Bangkok, 10900 Thailand.Department of Statistics, Faculty of Science, Kasetsart University, Chatuchak, Bangkok, 10900 Thailand.In this paper, a new framework for generating lifetime distributions is introduced, called the Topp-Leone generated (TLG) family of distributions. The generator of the TLG family is the Topp-Leone distribution, which was proposed by Topp and Leone in 1955. Some various properties of the TLG distribution are discussed, e.g., survival function, hazard function, moments and generating function. In addition, the TLG family is capable of improving fitted results and tail behavior of existing distributions. We present the Topp-Leone generalized exponential (TLGE) distribution as an example of the TLG distribution. Some graphical representations related to the probability density function and hazard function of the TLGE distribution are provided. In application study, the goodness of fit test based on the TLGE, the generalized exponential (GE), and exponentiated generalized exponential (EGE) distributions are compared. The results emphasize that the TLGE distribution can be considered as a competitive distribution for the GE and EGE distributions.http://rdo.psu.ac.th/sjstweb/journal/38-5/38-5-9.pdfTopp-Leone familyparameter-adding methodbeta-generatedprobability weighted momentsgeneralized exponential |
| spellingShingle | Yuwadee Sangsanit Winai Bodhisuwan The Topp-Leone generator of distributions: properties and inferences Songklanakarin Journal of Science and Technology (SJST) Topp-Leone family parameter-adding method beta-generated probability weighted moments generalized exponential |
| title | The Topp-Leone generator of distributions: properties and inferences |
| title_full | The Topp-Leone generator of distributions: properties and inferences |
| title_fullStr | The Topp-Leone generator of distributions: properties and inferences |
| title_full_unstemmed | The Topp-Leone generator of distributions: properties and inferences |
| title_short | The Topp-Leone generator of distributions: properties and inferences |
| title_sort | topp leone generator of distributions properties and inferences |
| topic | Topp-Leone family parameter-adding method beta-generated probability weighted moments generalized exponential |
| url | http://rdo.psu.ac.th/sjstweb/journal/38-5/38-5-9.pdf |
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