The Unit-transmuted Lindley Distribution with Applications

Abstract

This paper introduces the unit-transmuted Lindley (unit-TL) distribution. The statistical properties of the unit-TL distribution defined between (0,1) are discussed in detail. Several estimation techniques are used to estimate the parameters of the unit-TL distribution. An analysis through simulation is carried out to evaluate the efficacy of the suggested model. Furthermore, a unique regression model is developed for bounded response variables based on the unit-TL distribution. To illustrate the importance of the suggested model in precisely describing restricted datasets, two distinct datasets are examined