• 主题
高级搜索  >
历史搜索 清空历史
首页> 美国政府科技报告 >Conditional Event Algebras and Conditional Probability Logics. Basic Formulationsand a Product Space Approach to Conditional Events
【24h】

Conditional Event Algebras and Conditional Probability Logics. Basic Formulationsand a Product Space Approach to Conditional Events

机译：条件事件代数和条件概率逻辑。基本配方和有条件事件的产品空间方法

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Part 1 reports the somewhat mutually inconsistent treatments of 'if-then-' bylogic and probability is recounted and used to motivate a formal axiomatic development of conditional propositions in terms of partially-defined measurable characteristic functions on a sample space. The characteristic function of a conditional proposition (a/b), a given b, indicates for each instance w in the sample space whether (1) (a/b) applies and is true for (a), or (2) (a/b) applies and is false for w, or (3) (a/b) is inapplicable since b is false. Four 3-valued truth tables characterize the 'and', 'or', 'not' and 'if-then-' operations of this algebra and capture the third truth state of 'inapplicable' for conditional propositions. This leads to an extension of the fundamental theorem of boolean algebra to conditional propositions. Finally. a set of four 4-valued truth tables is offered as a candidate for capturing both the inapplicable and unknown truth states. Part 2 reports some of the key issues giving rise to conditional event algebras. A rigorous formulation of the basic problem is presented together with a listing of natural properties which such conditional event algebras may be expected to satisfy. Most approaches to the issue have treated conditional events as-in effect-as generalized types of boolean functions. A review is presented of the two leading candidate algebras proposed by each of those authors. However, despite a number of desirable properties these enjoy, there are several difficulties that also occur, including formulation of higher order conditioning, modeling of independent information, and formulation of conditional random variables. (AN).

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号