**7. Conclusions**

The article's major contribution is a flexible trigonometric extension of the well-known modified Lindley model that proposes a novel efficient statistical modelling technique. We employ the features of the sine generalized family of distributions in this regard, and develop the sine modified Lindley distribution. We have displayed a few of its more noteworthy attributes, with a focus on the shape properties of the corresponding probability density and hazard rate functions, as well as discussing moments. Simulation studies and applications demonstrate the utility of the model under consideration. In particular, we compared it to the primary current models derived from the Lindley, exponential and other models with one or more parameters, using two real-world data sets. As a result, the obtained findings are really satisfactory, demonstrating that the novel distribution has a wide range of applications that could be the subject of additional research in a variety of scientific fields.

**Author Contributions:** Conceptualization, L.T., V.G. and C.C.; methodology, L.T., V.G. and C.C.; software, L.T., V.G. and C.C.; validation, L.T., V.G. and C.C.; formal analysis, L.T., V.G. and C.C.; investigation, L.T., V.G. and C.C.; writing—original draft preparation, L.T., V.G. and C.C.; writing review and editing, L.T., V.G. and C.C. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Acknowledgments:** We would like to express our gratitude to the four reviewers for their useful comments on the work's first draft.

**Conflicts of Interest:** The authors declare no conflict of interest.

#### **References**

