Title :
A Study of Estimation for the Three-Parameter Weibull Distribution Based on Doubly Type-II Censored Data Using a Least Squares Method
Author :
Nagatsuka, Hideki
Author_Institution :
Fac. of Syst. Design, Tokyo Metropolitan Univ., Hino
Abstract :
A least squares procedure for parameter estimation of the three-parameter Weibull distribution based on the doubly type-2 censored samples are proposed. The estimate of the shape parameter can be obtained by minimizing a function of only one parameter and the estimates of the location and scale parameters can be obtained by two closed-formed formulas, by using the proposed method. The proposed method has advantages compared to the conventional estimators: (1) the bias of the estimators can be smaller for small samples, (2) the estimates can be obtained with higher probability, (3) the estimates are much easier to obtain computationally.
Keywords :
Weibull distribution; least squares approximations; parameter estimation; least squares method; parameter estimation; three-parameter Weibull distribution; Distributed computing; Equations; Least squares approximation; Least squares methods; Maximum likelihood estimation; Moment methods; Parameter estimation; Shape; Virtual manufacturing; Weibull distribution; Censored data; Least squares method; Maximum likelihood estimation; Modefied maximum likelihood estimation; Weibull distribution;
Conference_Titel :
Secure System Integration and Reliability Improvement, 2008. SSIRI '08. Second International Conference on
Conference_Location :
Yokohama
Print_ISBN :
978-0-7695-3266-0
Electronic_ISBN :
978-0-7695-3266-0
DOI :
10.1109/SSIRI.2008.45
