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The Topp Leone Generalized Inverted Kumaraswamy Distribution: Properties and Applications

  • Hesham Reyad
  • Farrukh Jamal
  • Soha Othman
  • Nagla Yahia

Asian Research Journal of Mathematics, Page 1-15
DOI: 10.9734/arjom/2019/v13i330107
Published: 4 April 2019

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Abstract


We propose a new four parameters continuous model called the Topp Leone generalized inverted Kumaraswamy distribution which extends the generalized inverted Kumaraswamy distribution. Basic mathematical properties of the new distribution are invstigated such as; quantile function, raw and incomplete moments, generating functions, probability weighted moments, order statistics, Rényi entropy, stochastic ordering and stress strength model. The method of maximum likelihood is used to estimate the model parameters of the new distribution. A Monte Carlo simulation is conducted to examine the behavior of the parameter estimates. The applicability of the new model is demonstrated by means of two real applications.


Keywords:
  • Inverted Kumaraswamy distribution
  • probability weighted moments
  • order statistics
  • stochastic ordering
  • stress strength model
  • Topp Leone-G family.
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How to Cite

Reyad, H., Jamal, F., Othman, S., & Yahia, N. (2019). The Topp Leone Generalized Inverted Kumaraswamy Distribution: Properties and Applications. Asian Research Journal of Mathematics, 13(3), 1-15. https://doi.org/10.9734/arjom/2019/v13i330107
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