Statistical Decision Functions.
统计决策函数AI 解读 ↓
← 返回论文列表与筛选
阅读说明
本页整理公开书目信息，不生成学术质量评分。AI 解读根据题名及所注明的摘要或原文片段生成，未完成全文核验，可能有误；具体假设、证明与结论请核对原文。摘要保留来源文本，未经模型改写。
DOI 首次登记不等于接收或发表日期。部分更正、评论等条目没有独立摘要；缺少可靠材料时保留待补状态。
引用量采用 OpenAlex 单条关联记录，不合计多个记录；关联记录可能包含正式发表版本，不等于此版本单独引用。缺失不视为零，引用指标不代表论文质量。
关注作者按书目中的完整姓名匹配，同名和姓名变体需人工辨别。相关论文先按共享细分方向和具体方法排列，再参考通用方法与发表日期。
分类依据与纠错
AI 根据所提供的论文材料归类：摘要属于一般统计决策理论，没有足够文本依据归入所列应用细分方向。
反馈分类问题正在核对关联版本…
代码、数据与补充材料
正在核对对应版本的资源…
关注这篇论文的作者
统计决策函数
- 研究问题
- 如何放宽既有统计决策理论中过于限制性的假设，使非序贯与序贯问题的主要结果适用于更广泛的统计问题？
- 方法与思路
- 作者在较弱条件下重新构建理论，重述基本定义，并更换此前多数证明方法，以推导既有主要结果和若干新结果。
- 材料陈述的贡献
- 摘要称以明显弱于此前的条件取得主要结论及新结果，并指出这些条件适用于文献中大多数常见统计问题。
- 阅读关注点
- 应核对新旧条件的逐项差别、决策函数与问题空间的定义，并辨明哪些结果得到保留、哪些结果属于新增扩展。
- 阅读边界
- 依据稿件版本未注明的 OpenAlex 索引摘要；具体假设、定理和新结果均未列出，不能判断每个统计问题是否满足条件。
原文摘要
The foundations of a general theory of statistical decision functions, including the classical non-sequential case as well as the sequential case, was discussed by the author in a previous publication [3]. Several assumptions made in [3] appear, however, to be unnecessarily restrictive (see conditions 1-7, pp. 297 in [3]). These assumptions, moreover, are not always fulfilled for statistical problems in their conventional form. In this paper the main results of [3], as well as several new results, are obtained from a considerably weaker set of conditions which are fulfilled for most of the statistical problems treated in the literature. It seemed necessary to abandon most of the methods of proofs used in [3] (particularly those in section 4 of [3]) and to develop the theory from the beginning. To make the present paper self-contained, the basic definitions already given in [3] are briefly restated in section 2.1.