Associated LAH Numbers, Factorial Series Distributions and Unbiased Estimation of a Size Parameter
✍ Scribed by Prof. S. Berg
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 471 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
✦ Synopsis
A finite population consieta of EN individuals of N different categories with k individuals each. It is required to estimate the unknown parameter N, the number of different clweaa in the population. A sequential sampling echeme is considered in which individuals are sampled until a preassign4 number of repetitiona of already observed cstegoriea occur in the sample. Corresponding fixed sample size schemes were considered by CHABALAMBIDES (1981). The sequential sampling scheme has the advantage of always allowing unbisaed estimation of the size parameter N. It is shown that .relative to Charalambides' fixed sample h e scheme only minor adjuetmenta are required to account for the sequential scheme. In particular, MVU estimators of parametric functions are expressible in terms of the C-numbers introduced by Charalambides.