Right Truncated Shankar Distribution and its Properties
Since the importance of truncated distributions has increased in many scientific fields in recent years and they provide valuable insights when dealing with censored or truncated data, this paper presents the Right Truncated Shanker Distribution as a new statistical distribution developed fo...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-01-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/4031 |
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| author | Bayda Atiya Kalaf Sairan Hamza Raheem Feras Sh. M. Batah |
| author_facet | Bayda Atiya Kalaf Sairan Hamza Raheem Feras Sh. M. Batah |
| author_sort | Bayda Atiya Kalaf |
| collection | DOAJ |
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Since the importance of truncated distributions has increased in many scientific fields in recent years and they provide valuable insights when dealing with censored or truncated data, this paper presents the Right Truncated Shanker Distribution as a new statistical distribution developed for modelling right truncated data. The distribution is defined by specifying its probability density function and cumulative distribution function under the truncation condition, the survival function and the hazard function. In addition, some properties of the right truncated Shanker distribution are derived, such as the moments around the origin, the variance, the coefficients of skewness and kurtosis, the moment generating function, and the mean time to failure. Our statistical properties show that the new distribution has the utility and flexibility to effectively model truncated data scenarios.
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| format | Article |
| id | doaj-art-ca825ccaa15c4dd488132323b690a4cf |
| institution | Kabale University |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-ca825ccaa15c4dd488132323b690a4cf2025-01-22T01:21:03ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-01-0138110.30526/38.1.4031Right Truncated Shankar Distribution and its PropertiesBayda Atiya Kalaf 0https://orcid.org/0000-0003-1136-0055Sairan Hamza Raheem1https://orcid.org/0000-0003-0663-2773Feras Sh. M. Batah2https://orcid.org/0000-0003-1254-3080Department of Mathematics, College of Education for Pure Science (Ibn Al Haitham), University of Baghdad, Baghdad, Iraq.Department of IT , Computer and Information Technology, University of Garmian , Dyala, IraqDepartment of Mathematics, College of Education for Pure Science, University of Anbar, Anbar, Iraq. Since the importance of truncated distributions has increased in many scientific fields in recent years and they provide valuable insights when dealing with censored or truncated data, this paper presents the Right Truncated Shanker Distribution as a new statistical distribution developed for modelling right truncated data. The distribution is defined by specifying its probability density function and cumulative distribution function under the truncation condition, the survival function and the hazard function. In addition, some properties of the right truncated Shanker distribution are derived, such as the moments around the origin, the variance, the coefficients of skewness and kurtosis, the moment generating function, and the mean time to failure. Our statistical properties show that the new distribution has the utility and flexibility to effectively model truncated data scenarios. https://jih.uobaghdad.edu.iq/index.php/j/article/view/4031Truncated distributions, Shanker distribution, probability density function, survival function, moment generating function. |
| spellingShingle | Bayda Atiya Kalaf Sairan Hamza Raheem Feras Sh. M. Batah Right Truncated Shankar Distribution and its Properties Ibn Al-Haitham Journal for Pure and Applied Sciences Truncated distributions, Shanker distribution, probability density function, survival function, moment generating function. |
| title | Right Truncated Shankar Distribution and its Properties |
| title_full | Right Truncated Shankar Distribution and its Properties |
| title_fullStr | Right Truncated Shankar Distribution and its Properties |
| title_full_unstemmed | Right Truncated Shankar Distribution and its Properties |
| title_short | Right Truncated Shankar Distribution and its Properties |
| title_sort | right truncated shankar distribution and its properties |
| topic | Truncated distributions, Shanker distribution, probability density function, survival function, moment generating function. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/4031 |
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