Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model
A more flexible two-parameter model named the Topp Leone inverse Lindley model is investigated. Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. Plot analysis for mean, variance, skewness, and kurtosis is perfor...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1985861 |
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| _version_ | 1832565585099096064 |
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| author | Maha A. Aldahlan |
| author_facet | Maha A. Aldahlan |
| author_sort | Maha A. Aldahlan |
| collection | DOAJ |
| description | A more flexible two-parameter model named the Topp Leone inverse Lindley model is investigated. Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. Plot analysis for mean, variance, skewness, and kurtosis is performed. The density of the new model can be right skewed and decreasing with unimodal and bimodal shapes. Also, its hazard rate function can be decreasing and upside-down. The maximum likelihood (ML) estimation method is used to estimate the parameters of the distribution. The simulation study is executed to investigate the effectiveness of the estimates. The potential of the distribution is demonstrated through the application of the real biomedical dataset. |
| format | Article |
| id | doaj-art-569432feaeb24fd98ecc10b68402c3e3 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-569432feaeb24fd98ecc10b68402c3e32025-02-03T01:07:11ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1985861Application to Biomedical Data: Using the Topp Leone Inverse Lindley ModelMaha A. Aldahlan0University of JeddahA more flexible two-parameter model named the Topp Leone inverse Lindley model is investigated. Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. Plot analysis for mean, variance, skewness, and kurtosis is performed. The density of the new model can be right skewed and decreasing with unimodal and bimodal shapes. Also, its hazard rate function can be decreasing and upside-down. The maximum likelihood (ML) estimation method is used to estimate the parameters of the distribution. The simulation study is executed to investigate the effectiveness of the estimates. The potential of the distribution is demonstrated through the application of the real biomedical dataset.http://dx.doi.org/10.1155/2022/1985861 |
| spellingShingle | Maha A. Aldahlan Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model Journal of Mathematics |
| title | Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model |
| title_full | Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model |
| title_fullStr | Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model |
| title_full_unstemmed | Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model |
| title_short | Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model |
| title_sort | application to biomedical data using the topp leone inverse lindley model |
| url | http://dx.doi.org/10.1155/2022/1985861 |
| work_keys_str_mv | AT mahaaaldahlan applicationtobiomedicaldatausingthetoppleoneinverselindleymodel |