Volume 42, Issue 6 (November 2014)

    Optimal Linear Regression Estimator in the Fitting of Weibull Strength Distribution

    (Received 29 March 2013; accepted 26 December 2013)

    Published Online: 2014

    CODEN: JTEOAD

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    Abstract

    The strength of ceramics is characterized by a wide scatter because of pre-existing cracks that occur during the manufacturing and machining processes. The Weibull distribution is one of the most widely used functions for the characterization of strength data. A linear regression method is generally applied in the estimation of Weibull parameters for its simplicity and low overestimation, in which probability estimators play an important role. In this paper, an optimal probability estimator for different sample sizes is obtained by using alumina strength data. In comparison with other commonly used estimators, the optimal probability estimator shows less bias and higher safety. The performance of the optimal probability estimator is also verified by other experimental strength data. In conclusion, an optimal probability estimator constant of 0.25 is suggested in practical applications.


    Author Information:

    Nohut, Serkan
    Faculty of Engineering, Zirve Univ., Kizilhisar Kampusu, Gaziantep

    Lu, Chunsheng
    Dept. of Mechanical Engineering, Curtin Univ., Perth, WA

    Gorjan, Lovro
    Hidria AET d.o.o. Poljubinj 89A, Tolmin,

    Institute Jozef Stefan Jamova 39, Ljubljana,


    Stock #: JTE20130074

    ISSN: 0090-3973

    DOI: 10.1520/JTE20130074

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    Author
    Title Optimal Linear Regression Estimator in the Fitting of Weibull Strength Distribution
    Symposium , 0000-00-00
    Committee E11