Kumaran V, Jha Vishwa Prakash
Department of Mathematics, National Institute of Technology, Tiruchirappalli, India.
J Appl Stat. 2023 Dec 21;51(13):2709-2714. doi: 10.1080/02664763.2023.2297149. eCollection 2024.
Recently, Sharma (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.
最近，夏尔马（《具有递增、递减和浴缸形危险函数的指数化泰西耶分布》，《应用统计学杂志》49 (2022)，第371 - 393页）引入了指数化泰西耶分布。遗憾的是，所给出的概率密度函数对数凹性的证明仅针对对数凹性，是不正确的。此外，与该分布单峰性相关的信息也不完整。在本注释中，已通过数值、图形和分析方法进行了必要的修正。
