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A note on the unimodality and log-concavity of the exponentiated Teissier distribution
V Kumaran1, Vishwa Prakash Jha1
1Department of Mathematics, National Institute of Technology, Tiruchirappalli, India.
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 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.
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