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Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration

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  • K. S. Sultan
  • A. S. Al-Moisheer

Abstract

We discuss the two-component mixture of the inverse Weibull and lognormal distributions (MIWLND) as a lifetime model. First, we discuss the properties of the proposed model including the reliability and hazard functions. Next, we discuss the estimation of model parameters by using the maximum likelihood method (MLEs). We also derive expressions for the elements of the Fisher information matrix. Next, we demonstrate the usefulness of the proposed model by fitting it to a real data set. Finally, we draw some concluding remarks.

Suggested Citation

  • K. S. Sultan & A. S. Al-Moisheer, 2015. "Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, April.
    • Handle: RePEc:hin:jnlmpe:526786
    DOI: 10.1155/2015/526786
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    Cited by:

    1. Nicolae Tarbă & Mihai-Lucian Voncilă & Costin-Anton Boiangiu, 2022. "On Generalizing Sarle’s Bimodality Coefficient as a Path towards a Newly Composite Bimodality Coefficient," Mathematics, MDPI, vol. 10(7), pages 1-17, March.

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