兩參數BS疲勞壽命分布的擬合檢驗以及環境因子的近似區間估計

王蓉華 顧蓓青 徐曉嶺

摘 要： 兩參數BirnbaumSaunders（BS）疲勞壽命分布是概率物理方法中的一個重要的失效模型，它比常用的壽命分布，如威布爾分布、對數正態分布，更適合描述某些由疲勞引起失效的產品的壽命規律，其主要應用于對疲勞失效以及電子產品性能退化失效的分析研究.在全樣本場合，利用徐曉嶺等的研究中刻度參數的對數矩估計的性質，構造了兩參數BS疲勞壽命分布擬合檢驗的檢驗統計量，并通過3個實例說明擬合檢驗方法的應用性.給出了兩種求兩參數BS疲勞壽命分布環境因子近似區間估計的新方法，通過Monte Carlo模擬與原有的方法進行了比較，發現利用對數正態近似的方法優勢明顯，并通過一個算例說明方法的應用性.

關鍵詞： 兩參數BirnbaumSaunders（BS）疲勞壽命分布; 刻度參數; 形狀參數; 對數矩估計; 擬合檢驗; 環境因子

中圖分類號： O 213? 文獻標志碼： A? 文章編號： 10005137（2019）04033908

Abstract： Twoparameter BirnbaumSaunders （BS） fatigue life distribution is an important failure model in the probability physical methods.It is more suitable for describing the life rules of fatigue failure products than common life distributions such as Weibull distribution and Lognormal distribution.Besides，it is mainly applied to analytical research about fatigue failure and degradation failure of electronic product performance.Based on the full sample，the test statistics are constructed for fitting test of twoparameter BirnbaumSaunders fatigue life distribution by using the property of logarithmic moment estimation of scale parameter proposed in XUs reseaching.Three examples are given to illustrate the application of fitting test method.Besides，two new methods of approximate interval estimation of environmental factor are given for twoparameter BS fatigue life distribution，which is compared with the original method through Monte Carlo simulations.We find that the advantage of logarithmic normal approximate method is obvious，and the example is given to illustrate the application of the method.

Key words： twoparameter BirnbaumSaunders （BS） fatigue life distribution; scale parameter; shape parameter; logarithmic moment estimation; fitting test; environmental factor

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（責任編輯：馮珍珍）