According to the relation of conditional failure rate function and multivariate lifetime distribution built , we discuss some important qualities related to conditional failure rate function and apply the depiction to some examples 由建立的條件失效率與多維壽命分布之間關系,討論了一些與條件失效率相關的重要性質,并舉例說明這種刻畫的運用。
First , according to the definition of n - dimensional density function , this thesis decomposes it into the conditional probability about variable alone , which can be expressed by conditional failure rate function about variable alone 本文首先根據多維密度函數的定義把它分解成關于各個變量的條件概率,而這些條件概率可以由各變量的條件失效率來表達。
Because the relation of failure rate and conditional failure rate is similar to the relation of distribution and conditional distribution , condition failure rate function has visual meanings and is e - asily obtained 由于條件失效率如同失效率一樣,也有很好的直觀意義且易獲得。由此前人開創(chuàng)了通過所定義的兩類條件失效率去刻畫二個相依部件的二維壽命分布。
S - eeing that the analysis process is loaded down with trivial details an $ is difficulty extended in multivariate case . however , taking advantage of relation between multivariate failure rate and distribution density function built by the author and endowing conditional failure rates with reasonable value joint with the fatal shock meaning , we easily obtain three - dimensional and even n - dimensional exponential distribution 鑒于該方法分析過程繁瑣,難于得到高維情形。本文另辟蹊徑,利用建立的條件失效率與多維壽命分布之間關系,并結合致命沖擊含義賦予條件失效率合理的值,得到三維乃至一般的n維指數分布。