The wrapped Lindley-exponential distribution: properties and application in circular data appearing in geological context

In this article, the circular (wrapped) version of Lindley-exponential (WRLE) distribution was introduced, and its different distributional, statistical, and mathematical properties were studied. The maximum likelihood method was used to estimate the model parameters. Simulation results were used to investigate the performance of the estimates. The importance of the proposed distribution was illustrated over: wrapped Lindley, wrapped exponential, new wrapped exponential, and the wrapped xgamma distributions by means of real directional data set.