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Volumn 59, Issue 1, 2014, Pages 34-47

Mixing coefficients between discrete and real random variables: Computation and properties

Author keywords

Data processing inequality; Data driven partitions; Mixing coefficients; NP completeness

Indexed keywords

DATA HANDLING; RANDOM VARIABLES; SET THEORY;

EID: 84891595934     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2013.2281481     Document Type: Article
Times cited : (7)

References (28)
  • 3
    • 0001869775 scopus 로고
    • Sulla determinazione empirica delle legge di probabilità
    • F. P. Cantelli, "Sulla determinazione empirica delle legge di probabilità," Giornali dell'Istituto Italia degli Attuari, vol. 4, pp. 421-424, 1933.
    • (1933) Giornali dell'Istituto Italia Degli Attuari , vol.4 , pp. 421-424
    • Cantelli, F.P.1
  • 8
    • 0001869773 scopus 로고
    • Sulla determinazione empirica delle legge di probabilità
    • V. I. Glivenko, "Sulla determinazione empirica delle legge di probabilità," Giornali dell'Istituto Italia degli Attuari, vol. 4, pp. 92-99, 1933.
    • (1933) Giornali dell'Istituto Italia Degli Attuari , vol.4 , pp. 92-99
    • Glivenko, V.I.1
  • 9
    • 0000636504 scopus 로고
    • Some limit theorems for stationary processes
    • I. A. Ibragimov, "Some limit theorems for stationary processes," Theory of Probab. and its Applicat., vol. 7, pp. 349-382, 1962.
    • (1962) Theory of Probab. and Its Applicat. , vol.7 , pp. 349-382
    • Ibragimov, I.A.1
  • 11
    • 0003998877 scopus 로고
    • 4th ed. Heidelberg, Germany: Springer-Verlag
    • M. Loève, Probability Theory I, 4th ed. Heidelberg, Germany: Springer-Verlag, 1977.
    • (1977) Probability Theory i
    • Loève, M.1
  • 12
    • 0030490122 scopus 로고    scopus 로고
    • Consistency of data-driven histogram methods for density estimation and classification
    • G. Lugosi and A. Nobel, "Consistency of data-driven histogram methods for density estimation and classification," Ann. Statist., vol. 24, no. 2, pp. 687-706, 1996.
    • (1996) Ann. Statist. , vol.24 , Issue.2 , pp. 687-706
    • Lugosi, G.1    Nobel, A.2
  • 13
    • 33947305781 scopus 로고    scopus 로고
    • ARACNE: An algorithm for the reconstruction of gene regulatory networks in a cellular context
    • in, Mar. 20
    • A. A. Margolin et al., "ARACNE: An algorithm for the reconstruction of gene regulatory networks in a cellular context," in Proc. BMC Bioinformatics, Mar. 20, 2008, vol. 7(Supplement 1), p. S7.
    • (2008) Proc. BMC Bioinformatics , vol.7 , Issue.SUPPL. 1
    • Margolin, A.A.1
  • 15
    • 0033904367 scopus 로고    scopus 로고
    • Nonparametric time series prediction through adaptive model selection
    • DOI 10.1023/A:1007602715810
    • R. Meir, "Nonparametric time series prediction through adaptivemodel selection," Mach. Learn., vol. 39, no. 1, pp. 5-34, 2000. (Pubitemid 30588208)
    • (2000) Machine Learning , vol.39 , Issue.1 , pp. 5-34
    • Meir, R.1
  • 16
    • 0031681870 scopus 로고    scopus 로고
    • Semidefinite relaxation and nonconvex quadratic optimization
    • Y. Nesterov, "Semidefinite relaxation and nonconvex quadratic optimization," Optimizat. Meth., Software, vol. 9, no. 1-3, pp. 141-160, 1998. (Pubitemid 128542194)
    • (1998) Optimization Methods and Software , vol.9 , Issue.1-3 , pp. 141-160
    • Nesterov, Yu.1
  • 17
    • 0002605356 scopus 로고
    • A central limit theorem and a strong mixing condition
    • Jan
    • M. Rosenblatt, "A central limit theorem and a strong mixing condition," Proc. Nat. Acad. Sci., vol. 42, no. 1, pp. 43-47, Jan. 1956.
    • (1956) Proc. Nat. Acad. Sci. , vol.42 , Issue.1 , pp. 43-47
    • Rosenblatt, M.1
  • 19
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • L. Vandenberghe and S. Boyd, "Semidefinite programming," SIAM Rev., vol. 38, no. 1, pp. 49-95, 1996. (Pubitemid 126610912)
    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 21
    • 0003509637 scopus 로고
    • Second ed. Englewood Cliffs, NJ, USA: Prentice-Hall
    • M. Vidyasagar, Nonlinear Systems Analysis, Second ed. Englewood Cliffs, NJ, USA: Prentice-Hall, 1993.
    • (1993) Nonlinear Systems Analysis
    • Vidyasagar, M.1
  • 24
    • 84055197830 scopus 로고    scopus 로고
    • Probabilistic methods in cancer biology
    • Sep.-Dec
    • M. Vidyasagar, "Probabilistic methods in cancer biology," Eur. J. Control, vol. 17, no. 5-6, pp. 483-511, Sep.-Dec. 2011.
    • (2011) Eur. J. Control , vol.17 , Issue.5-6 , pp. 483-511
    • Vidyasagar, M.1
  • 26
    • 40849089395 scopus 로고    scopus 로고
    • System identification-A learning theory approach
    • M. Vidyasagar and R. L. Karandikar, "System identification-A learning theory approach," J. Process Control, vol. 18, pp. 421-430, 2007.
    • (2007) J. Process Control , vol.18 , pp. 421-430
    • Vidyasagar, M.1    Karandikar, R.L.2
  • 27
    • 26444495559 scopus 로고    scopus 로고
    • Divergence estimation of continuous distributions based on data-dependent partitions
    • DOI 10.1109/TIT.2005.853314
    • Q. Wang, S. R. Kulkarni, and S. Verdú, "Divergence estimation of continuous distributions based on data-dependent partitions," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3064-3074, Sep. 2005. (Pubitemid 41430975)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.9 , pp. 3064-3074
    • Wang, Q.1    Kulkarni, S.R.2    Verdu, S.3
  • 28
    • 0034268735 scopus 로고    scopus 로고
    • Finite sample properties of system identification of ARX models under mixing conditions
    • E. Weyer, "Finite sample properties of system identification of ARX models under mixing conditions," Autom., vol. 36, no. 9, pp. 1291-1299, 2000.
    • (2000) Autom. , vol.36 , Issue.9 , pp. 1291-1299
    • Weyer, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.