Unit-Gompertz Distribution with Applications
The transformed family of distributions are sometimes very useful to explore additional properties of the phenomenons which non-transformed (baseline) family of distributions cannot. In this paper, we introduce a new transformed model, called the unit-Gompertz (UG) distribution which exhibit right-s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2019-07-01
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| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/8497 |
| _version_ | 1828155029829189632 |
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| author | Josmar Mazucheli André Felipe Maringa Sanku Dey |
| author_facet | Josmar Mazucheli André Felipe Maringa Sanku Dey |
| author_sort | Josmar Mazucheli |
| collection | DOAJ |
| description | The transformed family of distributions are sometimes very useful to explore additional properties of the phenomenons which non-transformed (baseline) family of distributions cannot. In this paper, we introduce a new transformed model, called the unit-Gompertz (UG) distribution which exhibit right-skewed (unimodal) and reversed-J shaped density while the hazard rate has constant, increasing, upside-down bathtub and then bathtub shaped hazard rate. Some statistical properties of this new distribution are presented and discussed. Maximum likelihood estimation for the parameters that index UG distribution are derived along with their corresponding asymptotic standard errors. Monte Carlo simulations are conducted to investigate the bias, root mean squared error of the maximum likelihood estimators as well as the coverage probability. Finally, the potentiality of the model is presented and compared with three others distributions using two real data sets. |
| first_indexed | 2024-04-11T22:47:27Z |
| format | Article |
| id | doaj.art-bc33be88edd740a2902ed023f8c5953a |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-04-11T22:47:27Z |
| publishDate | 2019-07-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-bc33be88edd740a2902ed023f8c5953a2022-12-22T03:58:43ZengUniversity of BolognaStatistica0390-590X1973-22012019-07-01791254310.6092/issn.1973-2201/84978208Unit-Gompertz Distribution with ApplicationsJosmar Mazucheli0André Felipe Maringa1Sanku Dey2Universidade Estadual de MaringáUniversidade Estadual de MaringáSt. Anthony's CollegeThe transformed family of distributions are sometimes very useful to explore additional properties of the phenomenons which non-transformed (baseline) family of distributions cannot. In this paper, we introduce a new transformed model, called the unit-Gompertz (UG) distribution which exhibit right-skewed (unimodal) and reversed-J shaped density while the hazard rate has constant, increasing, upside-down bathtub and then bathtub shaped hazard rate. Some statistical properties of this new distribution are presented and discussed. Maximum likelihood estimation for the parameters that index UG distribution are derived along with their corresponding asymptotic standard errors. Monte Carlo simulations are conducted to investigate the bias, root mean squared error of the maximum likelihood estimators as well as the coverage probability. Finally, the potentiality of the model is presented and compared with three others distributions using two real data sets.https://rivista-statistica.unibo.it/article/view/8497gompertz distributionmaximum likelihood estimatorsmonte carlo simulation |
| spellingShingle | Josmar Mazucheli André Felipe Maringa Sanku Dey Unit-Gompertz Distribution with Applications Statistica gompertz distribution maximum likelihood estimators monte carlo simulation |
| title | Unit-Gompertz Distribution with Applications |
| title_full | Unit-Gompertz Distribution with Applications |
| title_fullStr | Unit-Gompertz Distribution with Applications |
| title_full_unstemmed | Unit-Gompertz Distribution with Applications |
| title_short | Unit-Gompertz Distribution with Applications |
| title_sort | unit gompertz distribution with applications |
| topic | gompertz distribution maximum likelihood estimators monte carlo simulation |
| url | https://rivista-statistica.unibo.it/article/view/8497 |
| work_keys_str_mv | AT josmarmazucheli unitgompertzdistributionwithapplications AT andrefelipemaringa unitgompertzdistributionwithapplications AT sankudey unitgompertzdistributionwithapplications |