在大部分的產品平均殘存壽命探討的研究中，對數常態分配和Birbaum-Saunders分配是兩個最廣為學術界和實務界探討的有關產品平均殘存壽命的統計分配。對數常態分配的平均殘存壽命函數會隨著時間的增加而趨近於無限，這是不符合一般傳統認為產品”殘存壽命”為有限的想法，而本研究就是針對此一問題，提出適當的解決辦法。
研究中首先探討在傳統定義下的平均殘存壽命函數，並且將極限壽命的觀點融入傳統平均殘存壽命的定義中。經由極限壽命的觀念，本研究發展另一個衡量平均殘存壽命的新指標”平均殘存極限壽命(Mean Residual Limit Life)"。而本研究所提出之平均殘存極限壽命函數，較傳統指標合乎一般產品”殘存壽命”隨著時間的增加而遞減的想法。
最後，研究融入極限壽命觀點之平均殘存壽命函數在預燒決策上之應用，我們可以發現修正前後產品之經濟性預燒決策沒有太大的不同。另外當考慮平均殘存極限壽命函數做為衡量預燒決策模式的平均殘存壽命指標時，則預燒決策只須考慮產品的瞬間故障率函數即可。

中文部分：
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