【作者】 解顺强； 张兰霞； 霍印林；

【Author】 Xie Shunqiang Zhang Lanxian Huo Yinlin (Department of Mathematics and Physics, Hebei Vocational and TechnicalTeachers College, Hebei Qinhuangdao 066600; China Agriculture University (East campus), Beijing, 100083)

【机构】 河北职业技术师范学院数理系；

【摘要】 当疲劳强度正态分布N（μ,σ²）时,文[11]给出了,在特定条件下,S_ri=1/2(S_i+S_i+1是疲劳强度均值μ的极大似然估计的证明,笔者认为该证明值得商榷。本文将特定条件推广到一般条件,得到了新的结论:当疲劳强度服从任何给定的标准差的正态分布N（μ,σ₀²）时,在一般条件下,S_ri=1/2(S_i+S_i+1是疲劳强度均值μ的极大似然估计。并给出了严格的证明。更多还原

【Abstract】 The authors think that there is a problem in article [11] where a conclusion, that is the mostly likelihood estimation of the fatigue strengthmean μ. while the fatigue strength has a normal distribution with mean μ and varianceσ2 , was proved in special case. In this paper, we give and justify a new conclusion in generalized case that mostly likelihood estimation of thefatigue strength mean μ while the fatigue strength has a normal distribution with mean μ and known variance σ02 .更多还原