On Modified-Weibull Distribution Under Left Censoring

This article deals with the statistical inference of the Modified-Weibull (M-W) distribution under left-censored data. The M-W model is an extension of the Weibull distribution, and it is a newly developed lifetime model. It is suitable for bath-shaped and increasing hazards. The necessary parameter estimation is discussed here for drawing inferences. The maximum likelihood estimation method is applied for the estimation of unknown parameters in the presence of left censoring. A simulation study is performed to monitor the accuracy of estimates in small samples. It is observed that proposed estimates have greater accuracy for small samples as well. Application of illustrative examples is given to study the estimation procedure under left censoring.