TY - JOUR T1 - A Retrospective Study on Applications of the Lindley Distribution AU - Tomy , Lishamol AU - Chesneau , Christophe AU - Jose , Meenu JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 291 EP - 309 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.291 UR - https://global-sci.org/intro/article_detail/jnma/20708.html KW - Lindley distribution, Stress-strength, Time series modeling, Quality control, Astrophysics. AB -

The need for efficient statistical models has increased with the flow of new data, which makes distribution theory a particularly interesting and attractive field. Here, we provide a thorough study of the applications of the Lindley distribution and its diverse generalizations. More precisely, we review some special applications in various areas, such as time series analysis, stress strength analysis, acceptance sampling plans and data analysis. We also conduct a comparative study between the Lindley distribution and some of its generalizations by using four real-life data sets.