Non-regular statistical estimation [electronic resource] / Masafumi Akahira, Kei Takeuchi.
In order to obtain many of the classical results in the theory of statistical estimation, it is usual to impose regularity conditions on the distributions under consideration. In small sample and large sample theories of estimation there are well established sets of regularity conditions, and it is...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Springer,
©1995.
|
| Series: | Lecture notes in statistics (Springer-Verlag) ;
v. 107. |
| Subjects: |
Table of Contents:
- Ch. 1. General discussions on unbiased estimation
- Ch. 2. Lower bound for the variance of unbiased estimators
- Ch. 3. Amounts of information and the minimum variance unbiased estimation
- Ch. 4. Loss of information associated with the order statistics and related estimators in the case of double exponential distributions
- Ch. 5. Estimation of a common parameter for pooled samples from the uniform distributions and the double exponential distributions
- Ch. 6. Higher order asymptotics in estimation for two-sided Weibull type distributions
- Ch. 7. "3/2 th" and second order asymptotics of the generalized Bayes estimators for a family of truncated distributions
- Supplement. The bound for the asymptotic distribution of estimators when the maximum order of consistency depends on the parameter.