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Accuracy Analysis of the Percentile Method for Estimating Non Normal Manufacturing Quality
Authors:Chien-Wei Wu  W. L. Pearn  C. S. Chang  H. C. Chen
Affiliation:1. Department of Industrial Engineering &2. Systems Management , Feng Chia University , Taiwan cweiwu@fcu.edu.tw;4. Management , National Chiao Tung University , Taiwan;5. Management , Cheng Kuo Institute of Technology , Taiwan
Abstract:We consider asymmetric kernel estimates based on grouped data. We propose an iterated scheme for constructing such an estimator and apply an iterated smoothed bootstrap approach for bandwidth selection. We compare our approach with competing methods in estimating actuarial loss models using both simulations and data studies. The simulation results show that with this new method, the estimated density from grouped data matches the true density more closely than with competing approaches.
Keywords:Flexible capability indices  Non normal distributions  Relative bias  Sample percentile estimator  Simulation
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