Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application
In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best line...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2020-09-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125944517/view |
| _version_ | 1818007755029479424 |
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| author | Devendra Kumar Maneesh Kumar Sanku Dey |
| author_facet | Devendra Kumar Maneesh Kumar Sanku Dey |
| author_sort | Devendra Kumar |
| collection | DOAJ |
| description | In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best linear unbiased estimators (BLUEs) for the location and scale parameters for the type-II exponentiated log-logistic distribution with known shape parameters are studied. Finally, the results are illustrated with a real data set. |
| first_indexed | 2024-04-14T05:19:54Z |
| format | Article |
| id | doaj.art-c41ae5342ebc4f5fa23bf4bd8e49807c |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-04-14T05:19:54Z |
| publishDate | 2020-09-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-c41ae5342ebc4f5fa23bf4bd8e49807c2022-12-22T02:10:14ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662020-09-0119310.2991/jsta.d.200825.002Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with ApplicationDevendra KumarManeesh KumarSanku DeyIn this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best linear unbiased estimators (BLUEs) for the location and scale parameters for the type-II exponentiated log-logistic distribution with known shape parameters are studied. Finally, the results are illustrated with a real data set.https://www.atlantis-press.com/article/125944517/viewType-II exponentiated log-logistic distributionMomentsOrder statisticsBest linear unbiased estimators |
| spellingShingle | Devendra Kumar Maneesh Kumar Sanku Dey Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application Journal of Statistical Theory and Applications (JSTA) Type-II exponentiated log-logistic distribution Moments Order statistics Best linear unbiased estimators |
| title | Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application |
| title_full | Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application |
| title_fullStr | Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application |
| title_full_unstemmed | Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application |
| title_short | Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application |
| title_sort | inferences for the type ii exponentiated log logistic distribution based on order statistics with application |
| topic | Type-II exponentiated log-logistic distribution Moments Order statistics Best linear unbiased estimators |
| url | https://www.atlantis-press.com/article/125944517/view |
| work_keys_str_mv | AT devendrakumar inferencesforthetypeiiexponentiatedloglogisticdistributionbasedonorderstatisticswithapplication AT maneeshkumar inferencesforthetypeiiexponentiatedloglogisticdistributionbasedonorderstatisticswithapplication AT sankudey inferencesforthetypeiiexponentiatedloglogisticdistributionbasedonorderstatisticswithapplication |