The two-parameter discrete Weibull distribution is an important model especially in reliability studies when the data are reported on a discrete scale. The hazard rate function of a discrete Weibull distribution is monotonically increasing and decreasing. The present paper provides a family of parametric discrete distributions which is an infinite mixture of exponentiated discrete Weibull distributions, and versatile in fitting increasing, decreasing, and bathtub-shaped failure rate models to different discrete life-test data. Some important distributional properties of the model such as the moments, order statistics, and infinite divisibility are investigated and the parameters of the distribution are estimated by the maximum likelihood method. In addition, a real data set is analyzed to show the effectiveness of the model. Finally we conclude the paper.
Nekoukhou, V. (2022). The fractional discrete Weibull distribution. Journal of Statistical Modelling: Theory and Applications, 3(2), 103-117. doi: 10.22034/jsmta.2023.20029.1097
MLA
Vahid Nekoukhou. "The fractional discrete Weibull distribution". Journal of Statistical Modelling: Theory and Applications, 3, 2, 2022, 103-117. doi: 10.22034/jsmta.2023.20029.1097
HARVARD
Nekoukhou, V. (2022). 'The fractional discrete Weibull distribution', Journal of Statistical Modelling: Theory and Applications, 3(2), pp. 103-117. doi: 10.22034/jsmta.2023.20029.1097
VANCOUVER
Nekoukhou, V. The fractional discrete Weibull distribution. Journal of Statistical Modelling: Theory and Applications, 2022; 3(2): 103-117. doi: 10.22034/jsmta.2023.20029.1097
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