Keywords and phrases: linear exponential model, modeling, maximum likelihood, Clayton copula.
Received: January 25, 2022; Revised: March 1, 2022; Accepted: March 4, 2022; Published: March 29, 2022
How to cite this article: Anis Ben Ghorbal, A generalization of the linear exponential model: properties and real data modeling, Advances and Applications in Statistics 75 (2022), 135‑155. http://dx.doi.org/10.17654/0972361722032
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] M. Elgarhy and S. Alrajhi, The odd Frechet inverse Rayleigh distribution: statistical properties and applications, J. Nonlinear Sci. Appl. 12 (2019), 291-299. [2] S. Broadbent, Simple mortality rates, J. Appl. Statist. 7(2) (1958), 85-96. [3] P. Carbone, L. Kellerthouse and E. Gehan, Plasmacytic Myeloma: A study of the relationship of survival to various clinical manifestations and anomalous protein type in 112 patients, American Journal of Medicine 42 (1967), 937-948. [4] G. M. Cordeiro, M. Alizadeh, G. Ozel, B. Hosseini, E. M. M. Ortega and E. Altun, The generalized odd log-logistic family of distributions: Properties, regression models and applications, J. Stat. Comput. Simul. 87(5) (2017b), 908 932. [5] J. U. Gleaton and J. D. Lynch, Properties of generalized log-logistic families of lifetime distributions, J. Probab. Statist. Sci. 4 (2006), 51-64. [6] R. C. Gupta and R. D. Gupta, Proportional reversed hazard rate model and its applications, J. Statist. Plan Inference 37 (2007), 3525-3536. [7] I. Gradshteyn and I. Ryzhik, Table of Integrals, Series, and Products, Elsevier/ Academic Press, 2007. [8] M. Ibrahim, E. Altun and H. M. Yousof, A new distribution for modeling lifetime data with different methods of estimation and censored regression modeling, Statistics, Optimization and Information Computing, forthcoming 2020. [9] M. C. Korkmaz and H. M. Yousof, The one-parameter odd Lindley exponential model: mathematical properties and applications, Economic Quality Control 2017. DOI: 10.1515/eqc-2017-0008 [10] S. Nadarajah and F. Haghighi, An extension of the exponential distribution, Statistics 45 (2011), 543-558. [11] M. Sarhan and D. Kundu, Generalized Linear Failure Rate Distribution, Communications in Statistics-Theory and Methods 38(5) (2009), 642-660. [12] A. J. Gross and V. A. Clark, Survival Distributions: Reliability Applications in the Biomedical Sciences, John Wiley Sons, New York, 1975. [13] A. S. Al-Moisheer, I. Elbatal, W. Almutiry and M. Elgarhy, Odd inverse power generalized Weibull generated family of distributions: properties and applications, Mathematical Problems in Engineering 2021 (2021), Article ID 5082192, 17 pp. https://doi.org/10.1155/2021/5082192 [14] I. Elbatal and M. Elgarhy, A new generalization of Erlang-truncated exponential distribution: properties and applications, Advances and Applications in Statistics 64(1) (2020), 63-74.
|