The Beta-Weibull Distribution on the Lattice of Integers

Authors

  • Vahid Nekoukhou Department of Statistics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran
  • Hamid Bidram Department of Statistics, University of Isfahan, Isfahan, Iran
  • Rasool Roozegar Department of Statistics, Yazd University, Yazd, Iran

DOI:

https://doi.org/10.5902/2179460X21864

Keywords:

Beta-Weibull distribution, Discrete beta generalized exponential distribution

Abstract

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.

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Published

2016-12-29

How to Cite

Nekoukhou, V., Bidram, H., & Roozegar, R. (2016). The Beta-Weibull Distribution on the Lattice of Integers. Ciência E Natura, 39(1), 40–58. https://doi.org/10.5902/2179460X21864

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Statistics

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