A New Extension of Generalized Exponential Distribution with Application to Ozone Data
In this article, a new distribution, called transformed Generalized Exponential Distribution () is proposed. The distribution has simple closed forms pdf and cdf. Several properties of the distribution are studied including unimodality, moments, conditional moments, stochastic ordering and Shannon e...
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2017
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| Online Access: | http://hdl.handle.net/11073/16264 |
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| _version_ | 1864513433575096320 |
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| author | Dey, Sanku |
| author2 | Alzaatreh, Ayman Zhang, Chunfang Kumar, Devendra |
| author2_role | author author author |
| author_facet | Dey, Sanku Alzaatreh, Ayman Zhang, Chunfang Kumar, Devendra |
| author_role | author |
| dc.creator.none.fl_str_mv | Dey, Sanku Alzaatreh, Ayman Zhang, Chunfang Kumar, Devendra |
| dc.date.none.fl_str_mv | 2017 2018-10-28T09:34:25Z 2018-10-28T09:34:25Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Dey, Sanku, Ayman Alzaatreh, Chunfang Zhang, and Devendra Kumar. "A New Extension of Generalized Exponential Distribution with Application to Ozone Data." Ozone: Science & Engineering 39, no. 4 (2017): 273-285. 0191-9512 http://hdl.handle.net/11073/16264 10.1080/01919512.2017.1308817 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Taylor & Francis |
| dc.relation.none.fl_str_mv | Ozone: Science & Engineering https://doi.org/10.1080/01919512.2017.1308817 |
| dc.subject.none.fl_str_mv | Conditional moments Maximum product of spacings Stochastic ordering Weighted distribution |
| dc.title.none.fl_str_mv | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this article, a new distribution, called transformed Generalized Exponential Distribution () is proposed. The distribution has simple closed forms pdf and cdf. Several properties of the distribution are studied including unimodality, moments, conditional moments, stochastic ordering and Shannon entropy. The distribution is capable of monotonically increasing, decreasing, bathtub and upside down shaped hazard rates. Furthermore, we discussed several methods of estimation for estimating the parameters. In particular, we compare, through simulation study, the performance of the maximum likelihood estimation, maximum product spacing estimation, ordinary and weighted least-squares estimation methods. Also, the average interval lengths and coverage rates of 95% confidence intervals, including boot-p and boot-t confidence intervals for different parameter values are provided. A real data set is used to illustrate the applicability of the proposed distribution. |
| format | article |
| id | aus_0787bc76e978193c9309007bb419968a |
| identifier_str_mv | Dey, Sanku, Ayman Alzaatreh, Chunfang Zhang, and Devendra Kumar. "A New Extension of Generalized Exponential Distribution with Application to Ozone Data." Ozone: Science & Engineering 39, no. 4 (2017): 273-285. 0191-9512 10.1080/01919512.2017.1308817 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16264 |
| publishDate | 2017 |
| publisher.none.fl_str_mv | Taylor & Francis |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A New Extension of Generalized Exponential Distribution with Application to Ozone DataDey, SankuAlzaatreh, AymanZhang, ChunfangKumar, DevendraConditional momentsMaximum product of spacingsStochastic orderingWeighted distributionIn this article, a new distribution, called transformed Generalized Exponential Distribution () is proposed. The distribution has simple closed forms pdf and cdf. Several properties of the distribution are studied including unimodality, moments, conditional moments, stochastic ordering and Shannon entropy. The distribution is capable of monotonically increasing, decreasing, bathtub and upside down shaped hazard rates. Furthermore, we discussed several methods of estimation for estimating the parameters. In particular, we compare, through simulation study, the performance of the maximum likelihood estimation, maximum product spacing estimation, ordinary and weighted least-squares estimation methods. Also, the average interval lengths and coverage rates of 95% confidence intervals, including boot-p and boot-t confidence intervals for different parameter values are provided. A real data set is used to illustrate the applicability of the proposed distribution.Taylor & Francis2018-10-28T09:34:25Z2018-10-28T09:34:25Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfDey, Sanku, Ayman Alzaatreh, Chunfang Zhang, and Devendra Kumar. "A New Extension of Generalized Exponential Distribution with Application to Ozone Data." Ozone: Science & Engineering 39, no. 4 (2017): 273-285.0191-9512http://hdl.handle.net/11073/1626410.1080/01919512.2017.1308817en_USOzone: Science & Engineeringhttps://doi.org/10.1080/01919512.2017.1308817oai:repository.aus.edu:11073/162642024-08-22T12:17:12Z |
| spellingShingle | A New Extension of Generalized Exponential Distribution with Application to Ozone Data Dey, Sanku Conditional moments Maximum product of spacings Stochastic ordering Weighted distribution |
| status_str | publishedVersion |
| title | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| title_full | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| title_fullStr | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| title_full_unstemmed | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| title_short | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| title_sort | A New Extension of Generalized Exponential Distribution with Application to Ozone Data |
| topic | Conditional moments Maximum product of spacings Stochastic ordering Weighted distribution |
| url | http://hdl.handle.net/11073/16264 |