On the unit Teissier distribution: properties, estimation procedures and applications

The Teissier distribution was developed to model mortality due to ageing in domestic animals. More recently, Krishna et al. [The unit Teissier distribution and its applications. Math Comput Appl. 2022;27(1):12] proposed the unit Teissier (UT) distribution on the interval (0, 1) through the transformation X=e−Y, where Y follows the Teissier distribution. They investigated several fundamental properties and parameter estimation of the UT distribution. The present paper extends the existing theoretical and inferential framework for the UT distribution and establishes two characterization results based on truncated moments. In addition, we consider several alternative parameter estimation methods. An extensive Monte Carlo simulation study under various parameter settings and sample sizes is conducted to assess and compare the performance of the competing estimators. Finally, the practical applicability of the UT distribution is illustrated through analyses of two real data sets and comparisons with several competing unit interval distributions.