Abstract
偏差是均勻性的一種重要度量。本文對定義在單位方體 [0，1}s和離散區域{1，...，q}s上的諸多偏差進行了介紹，討論了它們的性質，並給出了部分偏差的解析表達式。文中同時提及了將這些偏差作爲均勻性度量的有關研究資料。
Discrepancies are important measures of uniformity. In this paper, different discrepancies defined on a unit cube [0,1)s and a discrete domain {1,...,q}s are introduced and their properties are discussed. Analytical expressions of some discrepancies are also given. And studies on the application of these discrepancies as measures of uniformity are mentioned at the same time.
Discrepancies are important measures of uniformity. In this paper, different discrepancies defined on a unit cube [0,1)s and a discrete domain {1,...,q}s are introduced and their properties are discussed. Analytical expressions of some discrepancies are also given. And studies on the application of these discrepancies as measures of uniformity are mentioned at the same time.
| Translated title of the contribution | Discrepancy measures of uniformity |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 353-373 |
| Number of pages | 21 |
| Journal | 中國統計學報 |
| Volume | 38 |
| Issue number | 4 |
| Publication status | Published - Dec 2000 |
User-Defined Keywords
- 反射不變性
- 再生核希爾伯特空間
- 均勻性
- 投影
- 偏差
- discrepancy
- projection
- reflection invariant
- reproducing kernel Hilbert space
- uniformity