残余物
信息论
剩余熵
度量(数据仓库)
熵(时间箭头)
统计物理学
数学
可靠性(半导体)
多样性(控制论)
财产(哲学)
可靠性理论
相互信息
常量(计算机编程)
计算机科学
统计
算法
故障率
数据挖掘
物理
量子力学
组态熵
哲学
功率(物理)
程序设计语言
认识论
作者
Francesco Buono,Maria Longobardi,Franco Pellerey
出处
期刊:Mathematical Methods of Statistics
[Springer Nature]
日期:2022-06-01
卷期号:31 (2): 57-73
被引量:2
标识
DOI:10.3103/s106653072202003x
摘要
In a variety of applicative fields the level of information in random quantities is commonly measured by means of the Shannon Entropy. In particular, in reliability theory and survival analysis, time-dependent generalizations of this measure of uncertainty have been considered to dynamically describe changes in the degree of information over time. The Residual Entropy and the Residual Varentropy, for example, have been considered in the specialized literature to measure the information and its variability in residual lifetimes. In a similar way, one can consider dynamic measures of information for past lifetimes, i.e., for random lifetimes of items when one assumes that their failures occur before a fixed inspection time. This paper provides a study of the Past Varentropy, defined as the dynamic measure of variability of information for past lifetimes. From this study emerges the interest on a particular family of lifetimes distributions, whose members satisfy the property to be the only ones having constant Past Varentropy.
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