在檢驗人體血液中殘存之毒素，其含量若超過某定值時，就會對身體產生影響。為使檢驗過程符合經濟效益，並兼顧在估計時變異數之損失，本文採用合併之抽驗劑量。在指數分配模式假設下，用牛頓法及EM法估計尺度參數，進而求得其變異數估計量，並在節省函數下，得到最佳合併個數。

The residual of the toxin in the human body will a ects the health when the amount of toxin is over some quantity. This thesis will use the assembling drop of blood to measure the amount. The reason is based on the economic bene t but with the consideration of the loss of variance for estimating problem. Under the assumption of the exponential
distribution, the estimated scale parameter is obtained by using Newton-Raphson method or EM algorithmic method. The estimate of its variance is also obtained. Under a saving function, the optimal number of assembling is found.

[1]. Cochran, W.G.(1977). Sampling Techniques, 3rd Edition, John Wiley and Sons,
New York.

[2]. Cohen, A.C.(1991). Truncated and Censored Samples : Theory and Applications,
Marcel Dekker, New York.

[3]. El-Taha, Muhammad(1996). Parameter estimation in a right-truncated gamma
distribution. Technical Report, Department of Mathematics and Statistics ,University of Southern Maine

[4]. Lehmann, E.L. and Casella, G.(1998). Theory of Point Estimation, Second Edition, Springer-Verlag, New York.

[5]. Robert, C.P. and Casella, G.(1999). Monte Carlo Statistical Methods, Springer-Verlag, New York.

[6]. Shao, Jun(1999). Mathematical Statistics, Springer-Verlag, New York.

[7]. 許菁芳 (2000). 油症患者血液中多氯聯苯、多氯戴奧辛、多氯夫喃同源務濃度與肝功能異常之相關研究，碩士論文，國立成功大學環境醫學研究所。