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A Retrospective Study on Applications of the Lindley Distribution
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KeyWord:Lindley distribution; Stress-strength; Time series modeling; Quality control; Astrophysics
Author NameAffiliation
Lishamol Tomy Department of Statistics, Deva Matha College Kuravilangad, Kottayam, India 
Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, Caen, France 
Meenu Jose Department of Statistics, Carmel College Mala, Thrissur, India 
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      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.