Statistical Inference for Weibull Distribution Based on a Modified Progressive Type-II Censoring Scheme
Abstract
In this paper, a modified progressive Type-II censoring scheme is introduced. Relationships between the modified progressive Type-II censoring scheme and a randomized Type-II censoring scheme are discussed. The maximum likelihood estimators (MLEs) of the parameters of Weibull distribution are derived and EM-algorithm is used to obtain the estimates as well as the asymptotic variance-covariance matrix. Monte Carlo simulation is used to evaluate the performance of the MLEs in terms of biases, mean square errors and some commonly used optimal criteria in experimental design. Finally, a numerical example is provided to illustrate the methodology presented here.
© 2014 Ismail Kinaci, Yunus Akdogan, Coskun Kus, H. K. T. Ng, published by The Institute of Applied Statistics, Sri Lanka
This work is licensed under the Creative Commons License.