本論文主要是探討在有限已知母體總數下，其種類數估計以及新樣本中種類數預測量的比較。在廣義超幾何模式中，介紹了Goodman (1949)的種類數估計量、Haas和Stokes (1998)摺刀法估計量並在本文中提出新的估計量；並介紹多項式模式下的兩個種類估計量：Chao與Lee (1992)的樣本涵蓋估計量和Chao (1984)的下界估計量。而在種類預測函數上，我們利用Goodman (1949)的想法推導出種類預測函數估計量，並與Chao, Shen和Lin (2002)所提出的估計量做比較。文中所提到的估計量皆以模擬的方式作綜合的分析與比較。

1. Bunge, J, and Fitzpatrick, M. (1993). Estimating the number of species: a review. Journal of American Statistical Association, 88, 364-373.
2. Chao, A. (1984). Nonparametric estimation of the number of classes in a population. Scandinavian Journal of Statistics, 11, 265-270.
3. Chao, A. and Lee, S-M. (1992). Estimating the number of classes via sample coverage. Journal of American Statistical Association, 87, 210-217.
4. Chao, A. and Ma, M-C. and Yang, M. C. K. (1993), Stopping rule and estimation for recapture debugging with unequal detection rates. Biometrika, 80, 193-201.
5. Chao, A., Shen, T-J. and Lin, J-F. (2002). Predicting the number of new species in further taxonomic sampling. To appear in Ecology.
6. Gibbons, J. D. (1970). Nonparametric Statistical Inference. New York: McGraw-Hill.
7. Good, I. J. (1953). The Population Frequencies of Species and the Estimation of Population Parameters. Biometrika, 40, 237-264.
8. Goodman, L. A. (1949). On the Estimation of the number of classes in a population. Annals of Mathematical Statistics, 20, 572-579
9. Haas, P. J. and Stoke, L. (1998). Estimating the number of classes in a finite population. Journal of American Statistical Association, 93, 1475-1487.
10. Lieberman, G. J., and Owen, D. B. (1961). Tables of the Hypergeometric Probability Distribution. Stanford University Press.
11. Miller, R. I. and Wiegert, R. G. (1989). Documenting completeness, species-area relations, and the species-abundance distribution of a regional flora, Ecology, 70, 16-22.
12. Shen, T-J. (2002). Species Prediction and Diversity Estimation. Technical Report, National Tsing Hau University.
13. Solow, A. R. and Polasky, S. (1999). A quick estimator for taxonomic surveys. Ecology, 80, 2799-2803.