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Article Navigation >  Journal of University of Electronic Science and Technology of China  > 2008  >  37(4): 634-636,640

LING Dan, HUANG Hong-zhong, ZHANG Xiao-ling, JIANG Gong-liang. Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm[J]. Journal of University of Electronic Science and Technology of China, 2008, 37(4): 634-636,640.
Citation: LING Dan, HUANG Hong-zhong, ZHANG Xiao-ling, JIANG Gong-liang. Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm[J]. Journal of University of Electronic Science and Technology of China, 2008, 37(4): 634-636,640.
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Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm

  • 1.

    School of Mechatronics Engineering,University of Electronic Science and Technology of China Chengdu 610054;

  • 2.

    Chongqing Key Laboratory of Communication Engineering Nan'an Chongqing 400074

  • Received Date: 2008-03-20
  • Rev Recd Date: 2008-05-30
  • Publish Date: 2008-08-15
  • Mixed Weibull distribution is usually used to model reliability of products with more than one failure modes. Due to the difficulty of estimation of distribution parameters, it has not been widely used. In this paper, a mixed model involving two Weibull distributions is considered; and its parameters estimation model is established using nonlinear least square theory. Levenberg-Marquardt algorithm is used to solve the optimization problem. To reduce iterative time, the estimator from graphical method is used as initial value. A numerical example is employed to illustrate the feasibility and accuracy of the proposed method.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm

  • 1. School of Mechatronics Engineering,University of Electronic Science and Technology of China Chengdu 610054;
  • 2. Chongqing Key Laboratory of Communication Engineering Nan'an Chongqing 400074
  • Received Date: 2008-03-20
  • Rev Recd Date: 2008-05-30
  • Publish Date: 2008-08-15

Abstract: Mixed Weibull distribution is usually used to model reliability of products with more than one failure modes. Due to the difficulty of estimation of distribution parameters, it has not been widely used. In this paper, a mixed model involving two Weibull distributions is considered; and its parameters estimation model is established using nonlinear least square theory. Levenberg-Marquardt algorithm is used to solve the optimization problem. To reduce iterative time, the estimator from graphical method is used as initial value. A numerical example is employed to illustrate the feasibility and accuracy of the proposed method.

LING Dan, HUANG Hong-zhong, ZHANG Xiao-ling, JIANG Gong-liang. Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm[J]. Journal of University of Electronic Science and Technology of China, 2008, 37(4): 634-636,640.
Citation: LING Dan, HUANG Hong-zhong, ZHANG Xiao-ling, JIANG Gong-liang. Parameters Estimation for Mixed Weibull Distribution Using L-M Algorithm[J]. Journal of University of Electronic Science and Technology of China, 2008, 37(4): 634-636,640.
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