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A new class of skew-logistic distribution. (English) Zbl 1452.60015

Summary: In this study, the researchers introduce a new class of the logistic distribution which can be used to model the unimodal data with some skewness present. The new generalization is carried out using the basic idea of S. Nadarajah et al. [Statistics 48, No. 4, 872–895 (2014; Zbl 1326.62030)], called truncated-exponential skew-logistic (TESL) distribution. The TESL distribution is a member of the exponential family; therefore, the skewness parameter can be derived easier. Meanwhile, some important statistical characteristics are presented; the real data set and simulation studies are applied to evaluate the results. Also, the TESL distribution is compared to at least five other skew-logistic distributions.

MSC:

60E05 Probability distributions: general theory
62E15 Exact distribution theory in statistics

Citations:

Zbl 1326.62030
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References:

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