Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution
EL-Helbawy, A., Hegazy, M., Abd EL-Hady, A. (2025). Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution. EKB Journal Management System, 4(2), 106-132. doi: 10.21608/jcese.2024.332853.1085
Abeer EL-Helbawy; Mai Hegazy; Abeer Abd EL-Hady. "Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution". EKB Journal Management System, 4, 2, 2025, 106-132. doi: 10.21608/jcese.2024.332853.1085
EL-Helbawy, A., Hegazy, M., Abd EL-Hady, A. (2025). 'Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution', EKB Journal Management System, 4(2), pp. 106-132. doi: 10.21608/jcese.2024.332853.1085
EL-Helbawy, A., Hegazy, M., Abd EL-Hady, A. Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution. EKB Journal Management System, 2025; 4(2): 106-132. doi: 10.21608/jcese.2024.332853.1085

Statistical Properties and Applications of the Discrete Exponentiated Modified Topp-Leone Chen Distribution

مجلة العلوم التجارية والبيئية
Volume 4, Issue 2, April 2025, Page 106-132  XML PDF (899.15 K)
Document Type: المقالات الأصلية
DOI: 10.21608/jcese.2024.332853.1085
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Authors
Abeer EL-Helbawy email orcid 1; Mai Hegazyorcid 2; Abeer Abd EL-Hady2
1Department of Statistics, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, Egypt
2Department of Statistics, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Tafahna Al-Ashraf, Egypt
Abstract
In this paper, a new distribution with four parameters named discrete exponentiated modified Topp-Leone Chen distribution is introduced, using the general approach of discretization. The discrete exponentiated modified Topp-Leone Chen distribution can be applied to model reliability and survival data in various fields. Some statistical properties including quantile, mean residual life, mean time to failure, mean time between failure, availability, Re ́nyi entropy, moments and order statistics are obtained. Maximum likelihood approach is applied under Type-II censored sample for estimating the unknown parameters of the discrete exponentiated modified Topp-Leone Chen distribution. Also, maximum likelihood estimators of the survival, hazard rate and alternative hazard rate functions are obtained. The confidence intervals for the parameters, survival, hazard rate and alternative hazard rate functions are obtained. A simulation study is carried out to illustrate the theoretical results of the maximum likelihood estimation. Finally, two real data sets are applied to illustrate the flexibility and applicability of the proposed model for real-life applications.
Keywords
Survival discretization; Modified Topp-Leone Chen; confidence intervals; Maximum likelihood method; Markov Chain Monte Carlo simulation method
References
Statistics
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