A New Log-Logistic Lifetime Model with Mathematical Properties, Copula, Modified Goodness-of-Fit Test for Validation and Real Data Modeling
By Mahmoud M. M. Mansour, Mohamed Ibrahim, Khaoula Aidi, Nadeem Shafique Butt, M. M. Ali, Haitham M. Yousof, M. Hamed. 2020
71 citations recorded by the source corpus.
After defining a new log-logistic model and studying its properties, some new bivariate type versions using “Farlie-Gumbel-Morgenstern Copula”, “modified Farlie-Gumbel-Morgenstern Copula”, “Clayton Copula”, and “Renyi’s entropy Copula” are derived. Then, using the Bagdonavicius-Nikulin goodness-of-fit (BN-GOF) test for validation, we proposed a goodness-of-fit test for a new log-logistic model. The modified test is applied for the “right censored” real dataset of survival times. All elements of the modified test are explicitly derived and given. Three real data applications are presented for measuring the flexibility and the importance of the new model under the uncensored scheme. Two other real datasets are analyzed for censored validation.
Subfields: Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/058bf77907cb876653a633068a83fdd63a125bef
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In Management Science and Operations Research
In Statistics and Probability
Citations in the corpus
- A Generalization of Lomax Distribution with Properties, Copula and Real Data Applications (2020, background): “Recently, many useful extensions are presented by Bhatti et al. (2018), Goual Yousof (2019), Ibrahim and Yousof (2020), Karamikabir et al. (2020), Mansour et al. (2020f), Ansari et al. (2020), Goual et al. (2020) and Yadav et al. (2020).”