The Kumaraswamy Pareto IV Distribution
We introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be left-skewed, right-skewed and symmetrical shapes. It has increasing, decreasing, upside-down bathtub, bathtub, J and reversed-J...
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2021
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| Online Access: | http://hdl.handle.net/11073/24056 |
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| _version_ | 1864513440691781632 |
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| author | Tahir, M. H. |
| author2 | Cordeiro, Gauss M. Mansoor, M. Zubair, M. Alzaatreh, Ayman |
| author2_role | author author author author |
| author_facet | Tahir, M. H. Cordeiro, Gauss M. Mansoor, M. Zubair, M. Alzaatreh, Ayman |
| author_role | author |
| dc.creator.none.fl_str_mv | Tahir, M. H. Cordeiro, Gauss M. Mansoor, M. Zubair, M. Alzaatreh, Ayman |
| dc.date.none.fl_str_mv | 2021 2022-06-22T08:27:52Z 2022-06-22T08:27:52Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Tahir, M. H., Cordeiro, G. M., Mansoor, M., Zubair, M., & Alzaatreh, A. (2021). The Kumaraswamy Pareto IV Distribution. Austrian Journal of Statistics, 50(5), 1–22. https://doi.org/10.17713/ajs.v50i5.96 1026-597X http://hdl.handle.net/11073/24056 10.17713/ajs.v50i5.96 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Austrian Statistical Society |
| dc.relation.none.fl_str_mv | https://doi.org/10.17713/ajs.v50i5.96 |
| dc.subject.none.fl_str_mv | Arnold's Pareto Kumaraswamy-G class Pareto family Reliability |
| dc.title.none.fl_str_mv | The Kumaraswamy Pareto IV Distribution |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be left-skewed, right-skewed and symmetrical shapes. It has increasing, decreasing, upside-down bathtub, bathtub, J and reversed-J shaped hazard rate shapes. Various structural properties are derived including explicit expressions for the quantile function, ordinary and incomplete moments, Bonferroni and Lorenz curves, mean deviations, mean residual life, mean waiting time, probability weighted moments and generating function. We provide the density function of the order statistics and their moments. The Renyi and q entropies are also obtained. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. The usefulness of the new model is illustrated by means of three real-life data sets. In fact, our proposed model provides a better fit to these data than the gamma-Pareto IV, gamma-Pareto, beta-Pareto, exponentiated Pareto and Pareto IV models. |
| format | article |
| id | aus_3453ebcce5064ed19b0d28817afd85a6 |
| identifier_str_mv | Tahir, M. H., Cordeiro, G. M., Mansoor, M., Zubair, M., & Alzaatreh, A. (2021). The Kumaraswamy Pareto IV Distribution. Austrian Journal of Statistics, 50(5), 1–22. https://doi.org/10.17713/ajs.v50i5.96 1026-597X 10.17713/ajs.v50i5.96 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/24056 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Austrian Statistical Society |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The Kumaraswamy Pareto IV DistributionTahir, M. H.Cordeiro, Gauss M.Mansoor, M.Zubair, M.Alzaatreh, AymanArnold's ParetoKumaraswamy-G classPareto familyReliabilityWe introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be left-skewed, right-skewed and symmetrical shapes. It has increasing, decreasing, upside-down bathtub, bathtub, J and reversed-J shaped hazard rate shapes. Various structural properties are derived including explicit expressions for the quantile function, ordinary and incomplete moments, Bonferroni and Lorenz curves, mean deviations, mean residual life, mean waiting time, probability weighted moments and generating function. We provide the density function of the order statistics and their moments. The Renyi and q entropies are also obtained. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. The usefulness of the new model is illustrated by means of three real-life data sets. In fact, our proposed model provides a better fit to these data than the gamma-Pareto IV, gamma-Pareto, beta-Pareto, exponentiated Pareto and Pareto IV models.Austrian Statistical Society2022-06-22T08:27:52Z2022-06-22T08:27:52Z2021Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfTahir, M. H., Cordeiro, G. M., Mansoor, M., Zubair, M., & Alzaatreh, A. (2021). The Kumaraswamy Pareto IV Distribution. Austrian Journal of Statistics, 50(5), 1–22. https://doi.org/10.17713/ajs.v50i5.961026-597Xhttp://hdl.handle.net/11073/2405610.17713/ajs.v50i5.96en_UShttps://doi.org/10.17713/ajs.v50i5.96oai:repository.aus.edu:11073/240562024-08-22T12:01:40Z |
| spellingShingle | The Kumaraswamy Pareto IV Distribution Tahir, M. H. Arnold's Pareto Kumaraswamy-G class Pareto family Reliability |
| status_str | publishedVersion |
| title | The Kumaraswamy Pareto IV Distribution |
| title_full | The Kumaraswamy Pareto IV Distribution |
| title_fullStr | The Kumaraswamy Pareto IV Distribution |
| title_full_unstemmed | The Kumaraswamy Pareto IV Distribution |
| title_short | The Kumaraswamy Pareto IV Distribution |
| title_sort | The Kumaraswamy Pareto IV Distribution |
| topic | Arnold's Pareto Kumaraswamy-G class Pareto family Reliability |
| url | http://hdl.handle.net/11073/24056 |