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The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution

Author

Listed:
  • Mohieddine Rahmouni

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

  • Ayman Orabi

Abstract

This paper introduces a new two-parameter lifetime distribution, called the exponential-generalized truncated geometric (EGTG) distribution, by compounding the exponential with the generalized truncated geometric distributions. The new distribution involves two important known distributions, i.e., the exponential-geometric (Adamidis and Loukas, 1998) and the extended (complementary) exponential-geometric distributions (Adamidis et al., 2005; Louzada et al., 2011) in the minimum and maximum lifetime cases, respectively. General forms of the probability distribution, the survival and the failure rate functions as well as their properties are presented for some special cases. The application study is illustrated based on two real data sets.

Suggested Citation

  • Mohieddine Rahmouni & Ayman Orabi, 2018. "The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution," Post-Print hal-01737831, HAL.
    • Handle: RePEc:hal:journl:hal-01737831
    DOI: 10.5539/ijsp.v7n1p1
    as

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