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Loubna H, Goual H, Alghamdi FM, Mustafa MS, Tekle Mekiso G, Ali MM, Al-Nefaie AH, Alsuhabi H, Ibrahim M, Yousof HM. The quasi-xgamma frailty model with survival analysis under heterogeneity problem, validation testing, and risk analysis for emergency care data. Sci Rep 2024; 14:8973. [PMID: 38637600 PMCID: PMC11026502 DOI: 10.1038/s41598-024-59137-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2023] [Accepted: 04/08/2024] [Indexed: 04/20/2024] Open
Abstract
Frailty models are important for survival data because they allow for the possibility of unobserved heterogeneity problem. The problem of heterogeneity can be existed due to a variety of factors, such as genetic predisposition, environmental factors, or lifestyle choices. Frailty models can help to identify these factors and to better understand their impact on survival. In this study, we suggest a novel quasi xgamma frailty (QXg-F) model for the survival analysis. In this work, the test of Rao-Robson and Nikulin is employed to test the validity and suitability of the probabilistic model, we examine the distribution's properties and evaluate its performance in comparison with many relevant cox-frailty models. To show how well the QXg-F model captures heterogeneity and enhances model fit, we use simulation studies and real data applications, including a fresh dataset gathered from an emergency hospital in Algeria. According to our research, the QXg-F model is a viable replacement for the current frailty modeling distributions and has the potential to improve the precision of survival analyses in a number of different sectors, including emergency care. Moreover, testing the ability and the importance of the new QXg-F model in insurance is investigated using simulations via different methods and application to insurance data.
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Affiliation(s)
- Hamami Loubna
- Laboratory of Probabilities and Statistics LaPS, Department of Mathematics, Faculty of Sciences, Badji Mokhtar Annaba University, Annaba, Algeria
| | - Hafida Goual
- Laboratory of Probabilities and Statistics LaPS, Department of Mathematics, Faculty of Sciences, Badji Mokhtar Annaba University, Annaba, Algeria
| | - Fatimah M Alghamdi
- Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia
| | | | - Getachew Tekle Mekiso
- Department of Statistics, College of Natural and Computational Science, Wachemo University, Hossana, Ethiopia.
| | - M Masoom Ali
- Department of Mathematical Sciences, Ball State University, Muncie, IN, USA
| | - Abdullah H Al-Nefaie
- Department of Quantitative Methods, School of Business, King Faisal University, 31982, Al-Ahsa, Saudi Arabia
| | - Hassan Alsuhabi
- Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
| | - Mohamed Ibrahim
- Department of Quantitative Methods, School of Business, King Faisal University, 31982, Al-Ahsa, Saudi Arabia
- Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt
| | - Haitham M Yousof
- Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
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Mota AL, Santos-Neto M, Neto MM, Leão J, Tomazella VLD, Louzada F. Weighted Lindley regression model with varying precision: estimation, modeling and its diagnostics. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2022.2053719] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Alex L. Mota
- Institute of Mathematical and Computer Sciences, University of São Paulo, São Carlos, São Paulo, Brazil
- Department of Statistics, Federal University of São Carlos, São Carlos, São Paulo, Brazil
| | - Manoel Santos-Neto
- Department of Statistics, Federal University of Campinas Grande, Paraíba, Paraíba, Brazil
| | - Milton Miranda Neto
- Institute of Mathematical and Computer Sciences, University of São Paulo, São Carlos, São Paulo, Brazil
- Department of Statistics, Federal University of São Carlos, São Carlos, São Paulo, Brazil
| | - Jeremias Leão
- Department of Statistics, Federal University of Amazonas, Manaus, Amazonas, Brazil
| | - Vera L. D. Tomazella
- Department of Statistics, Federal University of São Carlos, São Carlos, São Paulo, Brazil
| | - Francisco Louzada
- Institute of Mathematical and Computer Sciences, University of São Paulo, São Carlos, São Paulo, Brazil
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