Discrete alpha-power Weibull distribution: Properties and application

Document Type : Research Paper


Faculty of Science, Mathematics Department, Zagazig University, Zagazig, Egypt


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.


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Volume 13, Issue 2
July 2022
Pages 1305-1317
  • Receive Date: 02 February 2022
  • Revise Date: 25 February 2022
  • Accept Date: 10 March 2022