Discrete alpha-power Weibull distribution: Properties and application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 106، دوره 13، شماره 2، مهر 2022، صفحه 1305-1317 اصل مقاله (909.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6301 | ||
| نویسندگان | ||
| M. O. Mohamed* ؛ N. A. Hassan؛ Nahla Abdelrahman | ||
| Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt | ||
| چکیده | ||
| A three-parameter discrete analogue of the Alpha-power Weibull distribution (DAPW) is provided in this study. It has established some of its basic distributional and statistical properties. The probability mass function's form, moments, skewness, kurtosis, probability generating function, characteristic function, stress-strength reliability, and order statistics are all examples of this. The unknown parameters are estimated using the maximum likelihood and moments approaches. The bias and mean square error of the maximum likelihood are demonstrated via a simulated exercise. Two datasets are used to demonstrate the model's adaptability. | ||
| کلیدواژهها | ||
| Characterization؛ Maximum likelihood estimator؛ Survival function؛ Quantile؛ Reliability؛ Failure rate؛ Second rate of failure | ||
| مراجع | ||
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