Based on independent random matices X: p x m and S: p x p distributed, respectively, as Npm(#, E ยฎ I,~) and Wp(n, ~) with # unknown and n > p, the problem of obtaining confidence interval for IEI is considered. Stein's idea of improving the best affine equivariant point estimator of IE[ has been ada
Confidence intervals for the number of unseen types
โ Scribed by Mark Finkelstein; Howard G. Tucker; Jerry Alan Veeh
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 450 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper finds the unique maximum likelihood estimator of, and conservative confidence intervals for, the unknown number of different coupons in the coupon collector's problem. This problem is also known as the problem of estimating the abundance of wildlife. The techniques developed here can be easily implemented, are valid without regard to sample size, and validate previous methods based on large sample theory when those methods apply.
๐ SIMILAR VOLUMES
In this paper we conduct a simulation study to evaluate coverage error, interval width and relative bias of four main methods for the construction of confidence intervals of log-normal means: the naive method; Cox's method; a conservative method; and a parametric bootstrap method. The simulation stu