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

• DOI: 10.1007/s11424-018-7215-8
• Publication Date: 2018-11-20T12:55:47Z
• Authors: Xiaoling Xu; Ronghua Wang; Beiqing Gu
• Keywords: 0101 mathematics; 01 natural sciences

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.