統計方法在醫學上有相當廣泛的應用，其中一個重要的應用便是估計接受醫院服務的人數。在註冊中心的資料中，若每一個病患其身份是可識別的，則接受醫院服務的人數(不重複)或許可以應用重複補取模型( Capture-Recapture model；CR model ) 來估計。但是為了保護病人隱私，所以註冊中心病人的個人資料無法從就診紀錄上容易地識別出來。如此，若病人在醫院重複就診，則會造成就診人數重複計算，造成醫院服務團隊的困擾。在這方面的研究上已有許多統計方法被發展出來，例如Larsen ( 1994 )、Laska ( 1996 ) 等人發展的統計方法等。吾人考慮實際醫院的情況，並以樣本涵蓋率概念切入，考慮Laska所遭遇之問題。由於Laska所發展之估計方法對於所估計之母群體大小沒有封閉形式( Close Form )，必須藉助計算機，有其不便之處，因此，吾人所發展之估計量在實際應用上應有較佳效率。

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