| 引用本文: | 王甜甜, 汪加梅.关于累积剩余(r,s)熵的研究*(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2021，38（6）：76-81 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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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 |
| 关键词: (r,s)熵 累积剩余熵 生存函数 风险率函数 平均剩余寿命函数 |
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| Research on the Dynamic Cumulative Residual(r,s) Entropy |
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WANG Tian-tian,WANG Jia-mei
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School of School of Mathematics & Physics, Anhui University of Technology,Anhui Ma’anshan 243032,China
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| 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. |
| Key words: (r,s)entropy cumulative residual entropy survival function risk rate function average residual life function |
