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Gamma-Kumaraswamy Distribution in Reliability Analysis: Properties and Applications

In: Advances in Statistical Methodologies and Their Application to Real Problems

Author

Listed:
  • Indranil Ghosh
  • Gholamhossein Hamedani

Abstract

In this chapter, a new generalization of the Kumaraswamy distribution, namely the gamma-Kumaraswamy distribution is defined and studied. Several distributional properties of the distribution are discussed in this chapter, which includes limiting behavior, mode, quantiles, moments, skewness, kurtosis, Shannon's entropy, and order statistics. Under the classical method of estimation, the method of maximum likelihood estimation is proposed for the inference of this distribution. We provide the results of an analysis based on two real data sets when applied to the gamma-Kumaraswamy distribution to exhibit the utility of this model.

Suggested Citation

  • Indranil Ghosh & Gholamhossein Hamedani, 2017. "Gamma-Kumaraswamy Distribution in Reliability Analysis: Properties and Applications," Chapters, in: Tsukasa Hokimoto (ed.), Advances in Statistical Methodologies and Their Application to Real Problems, IntechOpen.
    • Handle: RePEc:ito:pchaps:107901
    DOI: 10.5772/66821
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    More about this item

    Keywords

    gamma-Kumaraswamy distribution; Renyi's entropy; reliability parameter; stochastic ordering; characterizations;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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