Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference
In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased esti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer
2021-03-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125953461/view |
| _version_ | 1817988079042953216 |
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| author | Bushra Khatoon M. J. S. Khan Zubdahe Noor |
| author_facet | Bushra Khatoon M. J. S. Khan Zubdahe Noor |
| author_sort | Bushra Khatoon |
| collection | DOAJ |
| description | In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) for the parameters of inverted Kumaraswamy distribution based on dgos are deduced. Also, we obtained the results for order statistics and lower record values by putting some specific values of the parameters of dgos. Finally, a simulation study is carried out for illustrative purpose. |
| first_indexed | 2024-04-14T00:30:48Z |
| format | Article |
| id | doaj.art-0c0ee5ae74414451b59fc110acecdb0a |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-04-14T00:30:48Z |
| publishDate | 2021-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-0c0ee5ae74414451b59fc110acecdb0a2022-12-22T02:22:33ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662021-03-0120210.2991/jsta.d.210219.001Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related InferenceBushra KhatoonM. J. S. KhanZubdahe NoorIn this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) for the parameters of inverted Kumaraswamy distribution based on dgos are deduced. Also, we obtained the results for order statistics and lower record values by putting some specific values of the parameters of dgos. Finally, a simulation study is carried out for illustrative purpose.https://www.atlantis-press.com/article/125953461/viewMomentsDual generalized order statisticsMaximum likelihood estimationUniformly minimum variance unbiased estimation |
| spellingShingle | Bushra Khatoon M. J. S. Khan Zubdahe Noor Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference Journal of Statistical Theory and Applications (JSTA) Moments Dual generalized order statistics Maximum likelihood estimation Uniformly minimum variance unbiased estimation |
| title | Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference |
| title_full | Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference |
| title_fullStr | Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference |
| title_full_unstemmed | Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference |
| title_short | Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference |
| title_sort | moments of dual generalized order statistics from inverted kumaraswamy distribution and related inference |
| topic | Moments Dual generalized order statistics Maximum likelihood estimation Uniformly minimum variance unbiased estimation |
| url | https://www.atlantis-press.com/article/125953461/view |
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