Size and Power of Tests of Hypotheses on Survival Parameters from the Lindley Distribution with Covariates

The Lindley model is considered as an alternative model facilitating analyses of time-to-event data with covariates. Covariate information is incorporated using the Cox’s proportional hazard model with the Lindley model as the timedependent component. Simulation studies are performed to assess the size and power of tests of hypotheses on parameters arising from maximum likelihood estimators of parameters in the Lindley model. Results are contrasted with that arising from Cox’s partial maximum likelihood estimator. The Lindley-Cox model, is used to analyze a publicly available data set and contrasted with other models.