Improved likelihood inferences for Weibull regression model. Issue 12 (13th August 2017)

• Record Type: Journal Article
• Authors: Shen, Yan; Yang, Zhenlin
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 12(2017)
• Page Start: 2349
• Page End: 2371
• Publication Date: 2017-08-13
• Subjects: Bias correction -- variance correction -- bootstrap -- improved t-ratios -- stochastic expansion -- right censoring; 62N02 -- 62N05 -- 62N86; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2017.1331441
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: A general procedure is developed for bias-correcting the maximum likelihood estimators (MLEs) of the parameters of Weibull regression model with either complete or right-censored data. Following the bias correction, variance corrections and hence improved t -ratios for model parameters are presented. Potentially improved t -ratios for other reliability-related quantities are also discussed. Simulation results show that the proposed method is effective in correcting the bias of the MLEs, and the resulted t -ratios generally improve over the regular t -ratios.