New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications
The generalization of probability distributions has a rich history, with various techniques employed to introduce new families of distributions. One notable approach is the transformed-transformer (T-X) method, which has been used by several authors to introduce many of novel probability distributio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2024/7144414 |
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| _version_ | 1832543010174271488 |
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| author | Fatehi Yahya Eissa Chhaya Dhanraj Sonar |
| author_facet | Fatehi Yahya Eissa Chhaya Dhanraj Sonar |
| author_sort | Fatehi Yahya Eissa |
| collection | DOAJ |
| description | The generalization of probability distributions has a rich history, with various techniques employed to introduce new families of distributions. One notable approach is the transformed-transformer (T-X) method, which has been used by several authors to introduce many of novel probability distributions. In this study, we present the new Lindley-X class, a novel family of continuous probability distributions, and we introduce some submodels within this framework. Our research involves deriving mathematical expressions for various statistical measures, including moments, the generating function, the quantile function, and Renyi entropy. To estimate the parameters of the new family of distributions, we utilize a range of methods, including maximum likelihood, maximum product spacing, least squares, Cramer-von Mises, and Anderson–Darling estimations. Furthermore, we illustrate the practical applicability of this new family of distributions through the analysis of real-life datasets. |
| format | Article |
| id | doaj-art-564f37c59ba54abeb99644a6305444c0 |
| institution | Kabale University |
| issn | 1687-9538 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-564f37c59ba54abeb99644a6305444c02025-02-03T11:56:02ZengWileyJournal of Probability and Statistics1687-95382024-01-01202410.1155/2024/7144414New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability ApplicationsFatehi Yahya Eissa0Chhaya Dhanraj Sonar1Department of MathematicsDepartment of StatisticsThe generalization of probability distributions has a rich history, with various techniques employed to introduce new families of distributions. One notable approach is the transformed-transformer (T-X) method, which has been used by several authors to introduce many of novel probability distributions. In this study, we present the new Lindley-X class, a novel family of continuous probability distributions, and we introduce some submodels within this framework. Our research involves deriving mathematical expressions for various statistical measures, including moments, the generating function, the quantile function, and Renyi entropy. To estimate the parameters of the new family of distributions, we utilize a range of methods, including maximum likelihood, maximum product spacing, least squares, Cramer-von Mises, and Anderson–Darling estimations. Furthermore, we illustrate the practical applicability of this new family of distributions through the analysis of real-life datasets.http://dx.doi.org/10.1155/2024/7144414 |
| spellingShingle | Fatehi Yahya Eissa Chhaya Dhanraj Sonar New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications Journal of Probability and Statistics |
| title | New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications |
| title_full | New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications |
| title_fullStr | New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications |
| title_full_unstemmed | New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications |
| title_short | New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications |
| title_sort | new lindley generator based on t x family of distributions properties and reliability applications |
| url | http://dx.doi.org/10.1155/2024/7144414 |
| work_keys_str_mv | AT fatehiyahyaeissa newlindleygeneratorbasedontxfamilyofdistributionspropertiesandreliabilityapplications AT chhayadhanrajsonar newlindleygeneratorbasedontxfamilyofdistributionspropertiesandreliabilityapplications |