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A Study of Estimation for the Three-Parameter Weibull Distribution Based on Doubly Type-II Censored Data Using a Least Squares Method

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1 Author(s)
Nagatsuka, H. ; Fac. of Syst. Design, Tokyo Metropolitan Univ., Hino

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.

Published in:

Secure System Integration and Reliability Improvement, 2008. SSIRI '08. Second International Conference on

Date of Conference:

14-17 July 2008