Asymptotic theory for order sampling
✍ Scribed by Bengt Rosén
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 1011 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
✦ Synopsis
Sampling with varying probabilities, notably ~ps (= probability ~ proportional to size) sampling, is one of many vehicles for utilization of auxiliary information. We introduce and study a novel general class of varying probabilities sampling schemes, called order sampling schemes. The main results concern asymptotic distributions of linear statistics. Even if the results lie on the theoretical side, they lay ground for applications of practical sampling interest. Rosrn (1997), which is a follow-up to the present paper, shows that order sampling yields interesting contributions to the problem of finding simple and good ~tps schemes. [c~" 1997 Elsevier Science B.V.
📜 SIMILAR VOLUMES
## Abstract An asymptotic theory is developed for a general fourth‐order differential equation. The theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.
This paper deals with the problem of classifying a multivariate observation \(X\) into one of two populations \(\Pi_{1}: p\left(\mathbf{x} ; w^{(1)}\right) \in S\) and \(\Pi_{2}: p\left(\mathbf{x} ; w^{(2)}\right) \in S\), where \(S\) is an exponential family of distributions and \(w^{(1)}\) and \(w