On statistical information theory and related measures of information
On statistical information theory and related measures of information
复制标题
论统计信息论及相关信息测度
DOI：
10.31274/rtd-180813-3155
复制
发表时间：
1970
期刊：
影响因子：
--
通讯作者：
O. Kempthorne
中科院分区：
文献类型：
--
作者：
P. Papaioannou;O. Kempthorne
翻译后摘要：该报告提出了一个小样本统计信息理论的基础上的三个措施的信息。它也提供了一个答案的问题，构建功能的信息覆盖非正规分布的措施。第二章论述了统计信息的概念。在第三章中，我们分别在标量和矢量参数的情况下考察了Fisher信息测度。第四章讨论了修正的Kullback-Leibler信息泛函测度和广义Bhattacharyya信息泛函测度。第五章将讨论某些病态分布族，并沿着讨论信息的可加性问题。（作者）
Abstract : The report presents a small sample statistical information theory based on three measures of information. It provides also an answer to the problem of constructing functional measures of information covering non-regular distributions. Chapter 2 discusses the concept of statistical information. The Fisherian information measure is examined in the scalar and vector parameter cases in Chapter 3. The modified Kullback-Leibler functional measure of information and the generalized Bhattacharyya functional measure are discussed in Chapter 4. A few considerations on certain pathological families of distributions along with a discussion on the question of additivity of information are given in Chapter 5. (Author)