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.
The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution
Published 2017 in International Journal of Statistics and Probability
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- Publication year
2017
- Venue
International Journal of Statistics and Probability
- Publication date
2017-11-02
- Fields of study
Mathematics
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