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Volume 10, Number 4, 2020, Pages 1614-1635                                                                DOI:10.11948/20190293
Statistical analysis of two-parameter generalized Birnbaum-Saunders Cauchy distribution
Ronghua Wang,Xiaoling Xu,Beiqing Gu
Keywords:Two-parameter generalized Birnbaum-Saunders Cauchy fatigue life distribution, shape parameter, scale parameter, point estimation, approximate interval estimation.
Abstract:
      The image features of density function and failure rate function are studied in detail for two-parameter generalized Birnbaum-Saunders Cauchy fatigue life distribution. The logarithmic moment estimation and other two point estimations of parameters are proposed under full sample, and the precisions of point estimations are investigated 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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