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Korkmaz, Mustafa Ç.; Genç, Ali İ.

Two-sided generalized exponential distribution. (English) Zbl 1337.60013

Commun. Stat., Theory Methods 44, No. 23, 5049-5070 (2015).
Summary: We derive a generalization of the exponential distribution by making log transformation of the standard two-sided power distribution. We show that this new generalization is in fact a mixture of a truncated exponential distribution and truncated generalized exponential distribution introduced by R. D. Gupta and D. Kundu [Aust. N. Z. J. Stat. 41, No. 2, 173–188 (1999; Zbl 1007.62503)]. The newly defined distribution is more flexible for modeling data than the ordinary exponential distribution. We study its properties, estimate the parameters, and demonstrate it on some well-known real data sets comparing other existing methods.

Cited in 2 Documents

MSC:

60E05 Probability distributions: general theory
62H12 Estimation in multivariate analysis

Keywords:

exponential distribution; generalized exponential distribution; lifetime distribution; standard two-sided power distribution

Citations:

Zbl 1007.62503
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Full Text: DOI

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