Citation: | SONG Zhanjie and ZHANG Jiaxing, “A Note for Estimation About Average Differential Entropy of Continuous Bounded Space-Time Random Field,” Chinese Journal of Electronics, vol. 31, no. 5, pp. 793-803, 2022, doi: 10.1049/cje.2021.00.213 |
[1] |
A. N. Kolmogorov, “The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers,” Doklady Akademii nauk SSSR, vol.30, pp.299–303, 1941.
|
[2] |
A. N. Kolmogorov, “On the degeneration of isotropic turbulence in an incompressible viscous flu,” Doklady Akademii nauk SSSR, vol.31, pp.538–542, 1941.
|
[3] |
A. N. Kolmogorov, “Dissipation of energy in isotropic turbulence,” Doklady Akademii nauk SSSR, vol.32, pp.19–21, 1941.
|
[4] |
A. M. Yaglom, “Some classes of random fields in n-dimensional space, related to stationary random processes,” Theory of Probability and Its Applications, vol.2, no.3, pp.273–320, 1957. doi: 10.1137/1102021
|
[5] |
A. M. Yaglom, Correlation Theory of Stationary and Related Random Functions. Volume I: Basic results, Springer, New York, vol.131, 1987.
|
[6] |
A. M. Yaglom, Correlation Theory of Stationary and Related Random Functions. Volume Ⅱ: Supplementary Notes and References, Springer-Velag, Berlin, 1987.
|
[7] |
J. Sun, “Tail probabilities of the maxima of Gaussian random fields,” Annals of Probability, vol.21, no.1, pp.34–71, 1993.
|
[8] |
R. Basu, V. Sidoravicius, and A. Sly, “Lipschitz embeddings of random fields,” Probability Theory and Related Fields, vol.171, pp.1121–1179, 2018.
|
[9] |
Z. Song and S. Zhang, “An almost sure result on approximation of homogeneous random field from local averages,” Chinese Journal of Electronics, vol.28, no.1, pp.93–99, 2019. doi: 10.1049/cje.2018.11.001
|
[10] |
L. Wu and G. Samorodnitsky, “Regularly varying random fields,” Stochastic Processes and Their Applications, vol.130, no.7, pp.4470–4492, 2020. doi: 10.1016/j.spa.2020.01.005
|
[11] |
G. Cleanthous, A. G. Georgiadis, A. Lang, and E. Porcu, “Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces,” Stochastic Processes and Their Applications, vol.130, no.8, pp.4873–4891, 2020. doi: 10.1016/j.spa.2020.02.003
|
[12] |
E. Koch, C. Dombry, and C. Y. Robert, “A central limit theorem for functions of stationary max-stable random fields on
|
[13] |
Z. Ye, “On entropy and $\varepsilon$-entropy of random fields,” Ph.D. Thesis, Cornell University, Ithaca, NY, USA, 1989.
|
[14] |
Z. Ye and T. Berger, “A new method to estimate the critical distortion of random fields,” IEEE Transactions on Information Theory, vol.38, no.1, pp.152–157, 1992. doi: 10.1109/18.108261
|
[15] |
Z. Ye and T. Berger, Information Measures for Discrete Random Fields, Science Press, Beijing/New York, 1998.
|
[16] |
P. Fan, Y. Dong, J. lu, and S. Liu, “Message importance measure and its application to minority subset detection in big data,” 2016 IEEE Globecom Workshops (GC Wkshps), Washington, DC, USA, pp.1–5, 2016.
|
[17] |
R. She, S. Liu, Y. Dong, and P. Fan, “Focusing on a probability element: Parameter selection of message importance measure in big data,” 2017 IEEE International Conference on Communications, Alberta, Canada, pp.1–6, 2017.
|
[18] |
D. Wang and F. Shao, “Research of neural network structural optimization based on information entropy,” Chinese Journal of Electronics, vol.29, no.4, pp.632–638, 2020. doi: 10.1049/cje.2020.05.006
|
[19] |
Z. Zhang, J. Luo, and M. Jin, “Application of maximum entropy theorem in channel estimation,” Chinese Journal of Electronics, vol.29, no.2, pp.361–370, 2020. doi: 10.1049/cje.2020.01.015
|
[20] |
S. Zhu, W. Xi, and L. Fan, “Sequence-oriented stochastic model of RO-TRNGs for entropy evaluation,” Chinese Journal of Electronics, vol.29, no.2, pp.371–377, 2020. doi: 10.1049/cje.2019.12.010
|
[21] |
W. Lin, H. Wang, and Z. Deng, “State machine with tracking tree and traffic allocation scheme based on cumulative entropy for satellite network,” Chinese Journal of Electronics, vol.29, no.1, pp.183–189, 2020. doi: 10.1049/cje.2019.06.024
|
[22] |
J. Cai, Y. Li, and W. Li, “Two entropy-based criteria design for signal complexity measures,” Chinese Journal of Electronics, vol.28, no.6, pp.1139–1143, 2019. doi: 10.1049/cje.2019.07.008
|
[23] |
K. Li and Y. Gao, “Fuzzy clustering with the structural
|
[24] |
Y. Zuo, J. Li, and Y. Tang, “A value classification of electronic product reviews based on maximum entropy,” Chinese Journal of Electronics, vol.25, no.6, pp.1071–1078, 2016. doi: 10.1049/cje.2016.06.014
|
[25] |
Z. Dai, X. Zhang, and H. Fang, “High accuracy velocity measurement based on keystone transform using entropy minimization,” Chinese Journal of Electronics, vol.25, no.4, pp.774–778, 2016. doi: 10.1049/cje.2016.06.009
|
[26] |
C. E. Shannon, “A Mathematical Theory of Communication,” Bell System Technical Journal, vol.27, no.3, pp.379–423, 1948. doi: 10.1002/j.1538-7305.1948.tb01338.x
|
[27] |
L. Györfi and E. C. van der Meulen, “Density-free convergence properties of various estimators of entropy,” Computational Statistics and Data Analysis, vol.5, no.4, pp.425–436, 1987. doi: 10.1016/0167-9473(87)90065-X
|
[28] |
L. Györfi and E. C. van der Meulen, “On the nonparametric estimation of entropy functional,” Nonparametric Functional Estimation and Related Topics, NATO ASI Series, Springer, Dordrecht, vol.335, pp.81–95, 1990.
|
[29] |
B. Forte and W. Hughes, “The maximum entropy principle: a tool to defne new entropies,” Reports on Mathematical Physics, vol.26, no.2, pp.227–235, 1988. doi: 10.1016/0034-4877(88)90025-0
|
[30] |
S. Lee, I. Vonta, and A. Karagrigoriou, “A maximum entropy type test of fit,” Computational Statistics and Data Analysis, vol.55, no.9, pp.2635–2643, 2011. doi: 10.1016/j.csda.2011.03.012
|