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A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution

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  • Mahmoud Ragab
  • Ahmed Elhassanein

Abstract

This article presents a new bivariate extended generalized inverted Kumaraswamy Weibull (BIEGIKw‐Weibull) distribution with nine parameters. Statistical properties of the new distribution are discussed. Forms of copulas, moments, conditional moments, bivariate reliability function, and bivariate hazard rate function are derived. Maximum likelihood estimators are formulated. Simulation is conducted for three different sets of parameters to verify the theoretical results and to discuss the new distribution properties. The performance of the maximum likelihood method is investigated via Monte Carlo simulation depending on the bias and the standard error. Simulated lifetime data is used as an application of the new model.

Suggested Citation

  • Mahmoud Ragab & Ahmed Elhassanein, 2022. "A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1243018
    DOI: 10.1155/2022/1243018
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    References listed on IDEAS

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    3. Sarhan, Ammar M. & Balakrishnan, N., 2007. "A new class of bivariate distributions and its mixture," Journal of Multivariate Analysis, Elsevier, vol. 98(7), pages 1508-1527, August.
    4. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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