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Principal Investigator  
Principal Investigator's Name: Yichuan Zhao
Institution: Georgia State University
Department: Mathematics and Statistics
Country:
Proposed Analysis: This paper considers inference about the sensitivity to the early disease stage based on three independent generalized order statistics samples from the non-diseased, early-diseased stage and fully diseased populations that are belonging to the lower truncated proportional hazard rate models with the same baseline distributions. The maximum likelihood estimator, a generalized pivotal estimator and some Bayes estimators are obtained for different structures of prior distributions. The percentile bootstrap condence interval, a generalized pivotal confidence interval and some Bayesian credible intervals are also presented. A Monte-Carlo simulation study is used to evaluate the performances of the obtained point estimators and confidence/credible intervals. The proposed procedures are further applied to Alzheimer's Disease Neuroimaging Initiative data set.
Additional Investigators  
Investigator's Name: Hossein Nadeb
Proposed Analysis: This paper considers inference about the sensitivity to the early disease stage based on three independent generalized order statistics samples from the non-diseased, early-diseased stage and fully diseased populations that are belonging to the lower truncated proportional hazard rate models with the same baseline distributions. The maximum likelihood estimator, a generalized pivotal estimator and some Bayes estimators are obtained for different structures of prior distributions. The percentile bootstrap confidence interval, a generalized pivotal confidence interval and some Bayesian credible intervals are also presented. A Monte-Carlo simulation study is used to evaluate the performances of the obtained point estimators and confidence/credible intervals.The proposed procedures are further applied to Alzheimer's Disease Neuroimaging Initiative data set.