Mechanical Engineering

Parameter Estimation Method Based on Minimum Cumulative Error Square Sum

Expand
  • Key Laboratory of CNC Equipment Reliability,Ministry of Education∥School of Mechanical and Aerospace Engineering,
    Jilin University,Changchun 130022,Jilin,China
张英芝(1970-),女,博士,教授,主要从事数控装备可靠性工程研究。

Received date: 2020-04-08

  Revised date: 2020-05-19

  Online published: 2020-05-29

Supported by

Supported by the National Science and Technology Major Project (2015ZX04005005) and Jilin Provincial Department of Science and Technology Foundation (20190302104GX)

Abstract

When using classical least squares and weighted least squares to estimate the two-parameter Weibull model parameters,it satisfies the unbiasedness well but it doesn't satisfy the validity. Aiming at this problem,a parameter estimation method based on the minimum sum of squared cumulative errors was proposed. The parameters were calculated for full samples,time-censored samples,and fixed-number censored samples. The root mean square error was used as an indicator to evaluate the effect,and an empirical study was carried out in conjunction with relevant literature data. The research shows that the RMSE value of the proposed parameter estimation method is small than that of the least squares and weighted least squares,so it can efficiently estimate the parameters of the two-parameter Weibull model.

Cite this article

ZHANG Yingzhi, ZHAI Fenli, ZHENG Yubin, et al . Parameter Estimation Method Based on Minimum Cumulative Error Square Sum[J]. Journal of South China University of Technology(Natural Science), 2020 , 48(11) : 49 -54 . DOI: 10.12141/j.issn.1000-565X.200159

Outlines

/