A note on the unimodality and log-concavity of the exponentiated Teissier distribution

V. Kumaran and Vishwa Prakash Jha

Journal of Applied Statistics, 2024, vol. 51, issue 13, 2709-2714

Abstract: Recently, Sharma et al. (Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions, J. Appl. Stat. 49 (2022), pp. 371–393) introduced the exponentiated Teissier distribution. Unfortunately, the proof given for the log-concavity of the probability density function and log-concave for $ \alpha \geq 1 $ α≥1 only, are incorrect. Also, the information related to the unimodality of the distribution is incomplete. In this note, numerically, graphically and analytically, the necessary corrections have been made.

Date: 2024
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DOI: 10.1080/02664763.2023.2297149

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