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Statistical Analysis of Two-Parameter Generalized BS-Logistic Fatigue Life Distribution

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Abstract

The logarithmic moment estimations of parameters are proposed for two-parameter generalized Birnbaum-Saunders Logistic fatigue life distribution GBS-Logistic(α, β) under the full sample. The precisions of point estimations are investigated and compared with other point estimations by Monte-Carlo simulations. The approximate interval estimations of parameters are given by using Taylor expansion, and the precisions of approximate interval estimations are investigated by Monte-Carlo simulations. Finally, several examples show the feasibility of the methods.

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Authors and Affiliations

  1. School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai, 201620, China

    Xiaoling Xu & Beiqing Gu

  2. Mathematics and Science College, Shanghai Normal University, Shanghai, 200234, China

    Ronghua Wang

Authors
  1. Xiaoling Xu
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  2. Ronghua Wang
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  3. Beiqing Gu
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Corresponding author

Correspondence to Beiqing Gu.

Additional information

Wang’s work was supported by the National Natural Science Foundation of China under Grant No. 11671264.

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Xu, X., Wang, R. & Gu, B. Statistical Analysis of Two-Parameter Generalized BS-Logistic Fatigue Life Distribution. J Syst Sci Complex 32, 1231–1250 (2019). https://doi.org/10.1007/s11424-018-7215-8

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  • DOI: https://doi.org/10.1007/s11424-018-7215-8

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