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Estimation of parameters for load-sharing parallel systems under exponential Pareto distribution

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  • Zhengcheng Zhang
  • Yonghong Yang
  • Danqing Li

Abstract

This article deals with the estimation of parameters for the load-sharing parallel system when the underlying distribution of component lifetime is exponential Pareto. The appropriate iterative method is used to get the parameter estimators. And the asymptotic distribution of the proposed maximum likelihood estimator is presented. For the model simplified, the maximum likelihood and best asymptotic unbiased estimators of parameters are obtained. Moreover, the confidence intervals for the parameters are constructed using the parameter bootstrap technique. In the end, some appropriate simulation methods and an example are used to substantiate the proposed methods.

Suggested Citation

  • Zhengcheng Zhang & Yonghong Yang & Danqing Li, 2022. "Estimation of parameters for load-sharing parallel systems under exponential Pareto distribution," Journal of Risk and Reliability, , vol. 236(2), pages 248-255, April.
    • Handle: RePEc:sae:risrel:v:236:y:2022:i:2:p:248-255
    DOI: 10.1177/1748006X20929972
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    References listed on IDEAS

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    1. Chanseok Park, 2010. "Parameter estimation for the reliability of load-sharing systems," IISE Transactions, Taylor & Francis Journals, vol. 42(10), pages 753-765.
    2. Singh, Bhupendra & Sharma, K.K. & Kumar, Anuj, 2008. "A classical and Bayesian estimation of a k-components load-sharing parallel system," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5175-5185, August.
    3. Oancea, Bogdan & Andrei, Tudorel & Pirjol, Dan, 2017. "Income inequality in Romania: The exponential-Pareto distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 486-498.
    4. Paul H. Kvam & Edsel A. Pena, 2005. "Estimating Load-Sharing Properties in a Dynamic Reliability System," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 262-272, March.
    5. Zhengcheng Zhang & N. Balakrishnan, 2017. "Stochastic properties and parameter estimation for a general load-sharing system," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(2), pages 747-760, January.
    6. Singh, Bhupendra & Gupta, Puneet Kumar, 2012. "Load-sharing system model and its application to the real data set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1615-1629.
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    Cited by:

    1. Lirong Cui & David W Coit, 2022. "Guest Editorial: SMRLO-2019 Special Issue," Journal of Risk and Reliability, , vol. 236(2), pages 223-224, April.

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