This paper describes the point and interval estimation of the unknown parameters of modified Weibull distribution under the adaptive Type-II progressive censored samples. First, we obtain the maximum likelihood estimation of parameters. Because maximum likelihood estimations should be solved in numerical methods and cannot be derived in a closed form, the approximate maximum likelihood estimations of the parameters are achieved. Also, asymptotic confidence intervals are obtained by earning the asymptotic distribution of the parameters. Moreover, two bootstrap confidence intervals are derived. Second, the Bayesian estimation of parameters is approximated using the Markov chain Monte Carlo algorithm and Lindley's method. Furthermore, the highest posterior density credible intervals of the parameters are derived. Finally, the different proposed estimations have been compared by the simulation studies and one data set is analyzed to illustrative aims.
Kohansal, A., & Haji, H. (2023). Estimations of the parameters for modified Weibull distribution under adaptive type-II progressive censored samples. Journal of Statistical Modelling: Theory and Applications, 4(1), 75-93. doi: 10.22034/jsmta.2024.20261.1102
MLA
Akram Kohansal; Hasan Haji. "Estimations of the parameters for modified Weibull distribution under adaptive type-II progressive censored samples". Journal of Statistical Modelling: Theory and Applications, 4, 1, 2023, 75-93. doi: 10.22034/jsmta.2024.20261.1102
HARVARD
Kohansal, A., Haji, H. (2023). 'Estimations of the parameters for modified Weibull distribution under adaptive type-II progressive censored samples', Journal of Statistical Modelling: Theory and Applications, 4(1), pp. 75-93. doi: 10.22034/jsmta.2024.20261.1102
VANCOUVER
Kohansal, A., Haji, H. Estimations of the parameters for modified Weibull distribution under adaptive type-II progressive censored samples. Journal of Statistical Modelling: Theory and Applications, 2023; 4(1): 75-93. doi: 10.22034/jsmta.2024.20261.1102
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