Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 Discrete alpha-power Weibull distribution: Properties and application 1305 1317 6301 10.22075/ijnaa.2022.6301 EN M. O. Mohamed Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt N. A. Hassan Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt Nahla Abdelrahman Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt Journal Article 2022 02 02 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. https://ijnaa.semnan.ac.ir/article_6301_407f177d69f5b898bb991d5acab98482.pdf