THE BETA-WEIBULL DISTRIBUTION ON THE LATTICE OF INTEGERS
2016
In this paper, a discrete analog of the beta-Weibull distribution is studied. This new distribution contains several discrete distributions as special sub-models. Some distributional and moment properties of the discrete beta-Weibull distribution as well as its order statistics are discussed. We will show that the hazard rate function of the new model can be increasing, decreasing, bathtub-shaped and upside-down bathtub. Estimation of the parameters is illustrated and the model with a real data set is also examined.
Keywords:
- Exponential-logarithmic distribution
- Beta-binomial distribution
- Weibull distribution
- Dirichlet-multinomial distribution
- Log-Cauchy distribution
- Compound probability distribution
- Normal-gamma distribution
- Statistics
- Mathematical analysis
- Beta negative binomial distribution
- Mathematics
- Generalized beta distribution
- Logarithmic distribution
- Univariate distribution
- Ratio distribution
- Applied mathematics
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