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Statistics Department, Ferdowsi University of Mashhad
Abstract
In this paper, based on progressive right censoring of type two, first the maximum likelihood estimation and then the approximate maximum likelihood estimation of the shape and scale parameters of the Weibull distribution are investigated. Also, a new type of parameter estimation called inverse estimation is introduced to estimate the scale and shape parameters of the Weibull distribution, which uses the properties of ordinal statistics. Using simulation, we have calculated and compared the maximum likelihood, approximate maximum likelihood, and inverse estimation methods for the two parameters, and the results are listed in tables. Finally, two numerical examples are also examined to illustrate the proposed methods.
Rafiei, M. & Baratpur Bajgiran, S. (2012). Comparison of three estimation methods for Weibull distribution based on progressive right censoring of type II. Andishe_ye Amari, 17(1), 55-69.
MLA
Rafiei, M., & Baratpur Bajgiran, S. "Comparison of three estimation methods for Weibull distribution based on progressive right censoring of type II.", Andishe_ye Amari, 17, 1, 2012, 55-69.
HARVARD
Rafiei M., Baratpur Bajgiran S. (2012). 'Comparison of three estimation methods for Weibull distribution based on progressive right censoring of type II.', Andishe_ye Amari, 17(1), pp. 55-69.
CHICAGO
M. Rafiei & S. Baratpur Bajgiran, "Comparison of three estimation methods for Weibull distribution based on progressive right censoring of type II.," Andishe_ye Amari, 17 1 (2012): 55-69,
VANCOUVER
Rafiei M., Baratpur Bajgiran S. Comparison of three estimation methods for Weibull distribution based on progressive right censoring of type II. Andishe_ye Amari. 2012;17(1):55-69 (In Persian).
