关于累积剩余(r,s)熵的研究*
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Research on the Dynamic Cumulative Residual(r,s) Entropy
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    摘要:

    首先推广了Kumar等对于累积剩余Tsallis熵的研究,提出了累积剩余(r,s)熵的定义,给出了其有界性的充分性及一些不同的单变量连续分布的累积剩余(r,s)熵的表达式;接着给出了相应的动态累积剩余(r,s)熵的定义和一些性质;〖JP2〗最后利用累积剩余(r,s)熵与平均剩余寿命函数、风险率函数的关系来刻画一些分布,指出含有多参数的累积剩余(r,s)熵对基于Renyi熵、Tsallis熵等单参数的累积剩余熵具有参考意义

    Abstract:

    The cumulative residual (r,s)entropy and its dynamic version are proposed. Firstly, this paper popularizes the research of kumar and soon on 〖WTBX〗cumulative〖WTBZ〗 residual〖WTBX〗 〖WTBZ〗Tsallis entropy and puts forward the definition of cumulative residual〖WTBX〗〖WTBZ〗(r,s)entropy, and the expression of its bounded sufficient conditions and some different single-variable continuous distributions of the measured cumulative residual measurement are given. Then, the definition and some properties of dynamic accumulated residual(r,s)entropy are given. Finally, some distributions are characterized by the relationship between average residual life function, risk rate function and accumulated residual〖WTBX〗 〖WTBZ〗(r,s) entropy.〖WTBX〗 〖WTBZ〗Accumulated residual entropy with multiple parameters is of reference significance for cumulative residual entropy based on single parameters such as Renyi entropy and Tsallis entropy.

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王甜甜, 汪加梅.关于累积剩余(r, s)熵的研究*[J].重庆工商大学学报(自然科学版),2021,38(6):76-81
WANG Tian-tian, WANG Jia-mei. Research on the Dynamic Cumulative Residual(r, s) Entropy[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2021,38(6):76-81

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  • 在线发布日期: 2021-11-29
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