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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.