Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data


ALAKUŞ K., ERİLLİ N. A.

Türkiye Klinikleri Biyoistatistik Dergisi, cilt.11, sa.3, ss.198-212, 2019 (Hakemli Dergi) identifier

Özet

Objective: Survival analysis is a statistical method used to compare the life expectancy of patients in health studies and to investigate the effectiveness of the treatments. TheLindley distribution is a widely used distribution in survival analysis in recent years and is usedto describe the life of a process or device. The Lindley distribution is a two-parameter continuous distribution that is widely used in a wide range of fields including biology, engineering andmedicine. Material and Method: In this study, point and interval estimates of the Lindley distribution were examined for censored and uncensored data. Parameter inferences and confidenceintervals are shown. In the application section, real-time data (uncensored) and a simulation data(uncensored and censored) are compared with other distributions of the exponential distributionfamily. Results: According to the results obtained from the analysis, it was observed that Lindleydistribution gave better results in special data structures compared to other distributions of exponential family. Lindley distribution; For uncensored real-life data and censored and uncensoredsimulation data, it has a lower model selection criterion. Conclusion: The exact distribution ofthe data to be used in survival analysis is one of the prerequisites for the success of the analysis.The Lindley distribution, with its increasing popularity in recent years, is a distribution thatgives successful results in survival analysis.