An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data
A new, more flexible model, the power quasi-Xgamma (PQXg) distribution, is introduced by adding an extra shape parameter using the power transformation approach. The PQXg distribution is more flexible due to its variable failure rate shapes. We derived its various theoretical properties including mo...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025003561 |
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| author | Abdullah M. Alomair Ayesha Babar Muhammad Ahsan-ul-Haq Saadia Tariq |
| author_facet | Abdullah M. Alomair Ayesha Babar Muhammad Ahsan-ul-Haq Saadia Tariq |
| author_sort | Abdullah M. Alomair |
| collection | DOAJ |
| description | A new, more flexible model, the power quasi-Xgamma (PQXg) distribution, is introduced by adding an extra shape parameter using the power transformation approach. The PQXg distribution is more flexible due to its variable failure rate shapes. We derived its various theoretical properties including moments and its associated measures. Some reliability measurements include the survival function, hazard rate, mean residual life, Rényi and Tsallis entropy, and stress-strength reliability. Five approaches are used for parameter estimation: maximum likelihood, Anderson-Darling, Cramér-von Mises, ordinary, and weighted least squares. A Monte Carlo simulation is used to determine the effectiveness of these estimators for different sample sizes. The use of derived distribution is investigated utilizing symmetrical and asymmetric data sets from real-world fields. When compared to other competing distributions considered, the new distribution performed better. |
| format | Article |
| id | doaj-art-5bab377a94bf418fbe85c956a24bc466 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-5bab377a94bf418fbe85c956a24bc4662025-02-02T05:28:41ZengElsevierHeliyon2405-84402025-01-01112e41976An improved extension of Xgamma distribution: Its properties, estimation and application on failure time dataAbdullah M. Alomair0Ayesha Babar1Muhammad Ahsan-ul-Haq2Saadia Tariq3Department of Quantitative Methods, School of Business, King Faisal University, 31982, Al-Ahsa, Saudi Arabia; Corresponding author.School of Statistics, Minhaj University Lahore, Lahore, PakistanCollege of Statistical Sciences, University of the Punjab, Lahore, Pakistan; Quality Enhancement Cell, National College of Arts, Lahore, PakistanSchool of Statistics, Minhaj University Lahore, Lahore, PakistanA new, more flexible model, the power quasi-Xgamma (PQXg) distribution, is introduced by adding an extra shape parameter using the power transformation approach. The PQXg distribution is more flexible due to its variable failure rate shapes. We derived its various theoretical properties including moments and its associated measures. Some reliability measurements include the survival function, hazard rate, mean residual life, Rényi and Tsallis entropy, and stress-strength reliability. Five approaches are used for parameter estimation: maximum likelihood, Anderson-Darling, Cramér-von Mises, ordinary, and weighted least squares. A Monte Carlo simulation is used to determine the effectiveness of these estimators for different sample sizes. The use of derived distribution is investigated utilizing symmetrical and asymmetric data sets from real-world fields. When compared to other competing distributions considered, the new distribution performed better.http://www.sciencedirect.com/science/article/pii/S2405844025003561Xgamma distributionPower transformationEntropyInferenceEngineering dataAnalysis |
| spellingShingle | Abdullah M. Alomair Ayesha Babar Muhammad Ahsan-ul-Haq Saadia Tariq An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data Heliyon Xgamma distribution Power transformation Entropy Inference Engineering data Analysis |
| title | An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data |
| title_full | An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data |
| title_fullStr | An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data |
| title_full_unstemmed | An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data |
| title_short | An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data |
| title_sort | improved extension of xgamma distribution its properties estimation and application on failure time data |
| topic | Xgamma distribution Power transformation Entropy Inference Engineering data Analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025003561 |
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