SOME PROPERTIES OF BETA TRANSMUTED DAGUM DISTRIBUTION WITH APPLICATIONS

Authors

  • Ahmed Ali Hurairah Department of Statistics, Sana’a University, Yemen
  • Saeed A. Hassen Department of Statistics, Sana’a University, Yemen

DOI:

https://doi.org/10.29244/ijsa.v4i2.646

Keywords:

beta dagum distribution, dagum distribution, maximum likelihood method, moments, transmuted distribution

Abstract

In this paper, we introduce a new family of continuous distributions called the beta transmuted Dagum distribution which extends the beta and transmuted familys. The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Dagum (BTD) distribution. The hazard function, moments, moment generating function, quantiles and stress-strength of the beta transmuted Dagum distribution (BTD) are provided and discussed in detail. The method of maximum likelihood estimation is used for estimating the model parameters. A simulation study is carried out to show the performance of the maximum likelihood estimate of parameters of the new distribution. The usefulness of the new model is illustrated through an application to a real data set.

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Published

2020-07-31

How to Cite

Hurairah, A. A., & Hassen, S. A. (2020). SOME PROPERTIES OF BETA TRANSMUTED DAGUM DISTRIBUTION WITH APPLICATIONS. Indonesian Journal of Statistics and Its Applications, 4(2), 327–340. https://doi.org/10.29244/ijsa.v4i2.646

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