1. References
Abba, B., Wang, H. and Bakouch, H. S. (2022). A reliability and survival model for one and two failure modes system with applications to complete and censored datasets.
Reliability Engineering and System Safety, Vol. 223, No. 108460, pp. 1-17.
https://doi.org/10.1016/j.ress.2022.108460.
Almalki, S. J. and Yuan, J. (2013). A new modified Weibull distribution. Reliability Engineering and System Safety, Vol. 111, pp. 164-170.
Bebbington, M., Lai, C. D. and Zitikis, R. (2007b). Modeling human mortality using mixtures of bathtub shaped failure distributions.
Journal of Theoretical Biology, Vol. 245, No. 3, pp. 528-538.
https://doi.org/10.1016/j.jtbi.2006.11.011.
Bousquet, N. and Bertholon, H. (2006). An alternative competing risk model to the Weibull distribution for modelling aging in lifetime data analysis.
Lifetime Data Analysis, Vol. 12, No. 4, pp. 481-504.
https://doi.org/10.1007/s10985-006-9019-8.
Buzaridah, M. M., Ramadan, D. A. and El-Desouky, B. S. (2022). Estimation of some lifetime parameters of flexible reduced logarithmic-inverse Lomax distribution under progressive Type-II censored data.
Journal of Mathematics, Vol. 2022, No. 1690458, pp. 1-13.
https://doi.org/10.1155/2022/1690458.
Choquet, R., Guedon, Y., Bensnard, A., Guillemain, M. and Pradel, R. (2013). Estimating stop over duration in the presence of trap-effects.
Ecological Modelling, Vol. 250, pp. 111-118.
https://doi.org/10.1016/j.ecolmodel.2012.11.002.
Cordeiro, G. M., Ortega, E. M. and Lemonte, A. (2013). The exponential-Weibull distribution.
Journal of Statistical Computation and Simulation, Vol. 84, No. 12, pp. 2592-2606.
https://doi.org/10.1080/00949655.2013.797982.
EL-Sagheer, R. M. (2018). Estimation of parameters of Weibull–Gamma distribution based on progressively censored data.
Statistical Papers, Vol. 59, No. 2, pp. 725-757.
https://doi.org/10.1007/s00362-016-0787-2.
EL-Sagheer, R. M., Shokr, E. M., Mohamed A. W. Mahmoud, M. A. W. and El-Desouky, B. S. (2021). Inferences for Weibull Fréchet Distribution Using a Bayesian and Non-Bayesian Methods on Gastric Cancer Survival Times.
Computational and Mathematical Methods in Medicine, Vol. 2021, No. 9965856, pp. 1-12.
https://doi.org/10.1155/2021/9965856.
Greene, W. H. (2018). Econometric analysis, 8th edition. Pearson Education India.
Gurvich, M. R., Dibenedetto, A. T. and Ranade, S. V. (1997). A new statistical distribution for characterizing the random strength of brittle materials.
Journal of Materials Science, Vo. 32, pp. 2559-2564.
https://doi.org/10.1023/A:1018594215963.
Kamal, R. M. and Ismail, M. A. (2020). The flexible Weibull extension-Burr XII distribution: model, properties and applications.
Pakistan Journal of Statistics and Operation Research, Vo.16, No. 3, pp. 447-460.
https://doi.org/10.18187/pjsor.v16i3.2957.
Khalil, A., Ijaz, M., Ali, K., Mashwani, W. K., Shafiq, M., Humam, P. and Kumam, W. (2021). A novel flexible additive Weibull distribution with real-life applications.
Communications in Statistics—Theory and Methods, Vol. 50, No. 7, pp. 1557-1572.
https://doi.org/10.1080/03610926.2020.1732658.
Lai, C. D. (2013). Constructions and applications of lifetime distributions. Applied Stochastic Models in Business and Industry, Vol. 29, No. 2,
pp. 127-129.
Lai, C. D., Xie, M. and Murthy, D. N. P. (2003). A modified Weibull distribution. IEEE Transactions on Reliability, Vol. 52, No. 1, pp. 33-37.
Liu, X., Ahmed, Z., Gemeay, A. M., Abdulrahman, A. T., Hafez, E. H. and Khalil. N. (2021). Modeling the survival times of the COVID-19 patients with a new statistical model: A case study from China.
Plos one, Vol. 16, No. 7, pp. 1-31.
https://doi.org/10.1371/journal.pone.0254999.
Lomax, K. S. (1954). Business failures: another example of the analysis of failure data. Journal of the American Statistical Association, Vol. 49, No. 268, pp. 847-852.
Makubate, B., Oluyede, B. and Gabanakgosi, M. (2021). A new Lindley-Burr XII distribution: Model, Properties and Applications.
International Journal of Statistics and Probability, Vol. 10, No. 4, pp. 33-51.
https://doi.org/10.5539/ijsp.v10n4p33.
Mdlongwa, P., Oluyede, B. O., Amey, A. and Huang, S. (2017). The Burr XII modified Weibull distribution: Model, Properties and Applications. Electronic Journal of Applied Statistical Analysis, Vol. 10, No. 1, pp. 118-145.
Mubarak, A. E. and Almetwally, E. M. (2021). A new extension exponential distribution with applications of COVID-19 data. Journal of Financial and Business Research, Vol. 22, No. 1, pp. 444-460.
Oluyede, B. O., Foya, S., Warahena-Liyanage, G. and Huang, S. (2016). The log-logistic Weibull distribution with applications to lifetime data.
Austrian Journal of Statistics, Vol. 45, No. 3, pp. 43-69.
https://doi.org/10.17713/ajs.v45i3.107.
Osagie, S. A. and Osemwenkhae, J. E. (2020). Lomax-Weibull distribution with properties and applications in lifetime analysis. International Journal of Mathematical Analysis and Optimization: Theory and Applications, Vol. 2020, No. 1, pp. 718-732.
Shakhatreh, M. K., Lemonte, A. J. and Moreno-Arenas, G. (2019). The log-normal modified Weibull distribution and its reliability implications.
Reliability Engineering and System Safety, Vol. 188, pp. 6-22.
https://doi.org/10.1016/j.ress.2019.03.014.
Singh, B. (2016). An additive Perks-Weibull model with bathtub-shaped hazard rate function. Communications in Mathematics and Statistics, Vol. 4, pp. 473-493.
Tarvirdizade, B. and Ahmadpour, M. (2019). A new extension of Chen distribution with applications to lifetime data.
Communications in Mathematics and Statistics, Vol. 9, pp. 23-38.
https://doi.org/10.1007/s40304-019-00185-4.
Thach, T. T. (2022). A Three-Component Additive Weibull Distribution and Its Reliability Implications.
Symmetry, Vol. 14, No. 7:1455, pp. 1-21.
https://doi.org/10.3390/sym14071455.
Thach, T. T. and Bris, R. (2021). An additive Chen-Weibull distribution and its applications in reliability modeling.
Quality and Reliability Engineering International, Vol. 37, No. 1, pp. 352-373.
https://doi.org/10.1002/qre.2740.
Tsallis, C. (1988). Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics, Vol. 52, No. 1/2, pp. 479-487.
Wang, F. K. (2000). A new model with bathtub-shaped failure rate using an additive Burr XII distribution. Reliability Engineering and System Safety, Vol. 70, No. 3, pp. 305-312.
Xavier, T., Jose, J. K. and Nadarajah, S. (2022). An additive power‐transformed half‐logistic model and its applications in reliability. Quality and Reliability Engineering International, pp. 1-18. https://doi.org/10.1002/qre.3119.
Xie, M. and Lai, C. D. (1995). Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function.
Reliability Engineering and System Safety, Vol. 52, No. 1, pp. 87-93.
https://doi.org/10.1016/0951-8320(95)00149-2.