Lindley Dağılımında Sansürlü ve Sansürsüz Verilerde Parametre ve Sağ Kalım Fonksiyonları için Nokta ve Aralık Tahmini

Abstract

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. The Lindley distribution is a widely used distribution in survival analysis in recent years and is used to 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 and medicine. Material and Method: In this study, point and interval estimates of the Lindley distribution were examined for censored and uncensored data. Parameter inferences and confidence intervals 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 distribution family. Results: According to the results obtained from the analysis, it was observed that Lindley distribution gave better results in special data structures compared to other distributions of exponential family. Lindley distribution; For uncensored real-life data and censored and uncensored simulation data, it has a lower model selection criterion. Conclusion: The exact distribution of the 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 that gives successful results in survival analysis.