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Volumn 21, Issue 2, 2007, Pages 289-300

A Chebyshev inequality for multivariate normal distribution

Author keywords

[No Author keywords available]

Indexed keywords

NORMAL DISTRIBUTION;

EID: 33947547224     PISSN: 02699648     EISSN: 14698951     Source Type: Journal    
DOI: 10.1017/S0269964807070179     Document Type: Article
Times cited : (7)

References (18)
  • 2
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    • A note on a form of Tchebycheff's theorem for two variables
    • Berge, P.O. (1937). A note on a form of Tchebycheff's theorem for two variables. Biometrika 29: 405-406.
    • (1937) Biometrika , vol.29 , pp. 405-406
    • Berge, P.O.1
  • 4
    • 0005542584 scopus 로고
    • Considérations à l'appui de la découverte de Laplace sur loi de probabilité dans la méthode des moindres carrés
    • Bienaymé, I.J. (1853). Considérations à l'appui de la découverte de Laplace sur loi de probabilité dans la méthode des moindres carrés. Comptes Rendus de l'Académie des Sciences, Paris 37: 309-324.
    • (1853) Comptes Rendus de l'Académie des Sciences, Paris , vol.37 , pp. 309-324
    • Bienaymé, I.J.1
  • 6
    • 33947508413 scopus 로고    scopus 로고
    • Chebyshev, P.L. (1929). In D.E. Smith (d.), A source book in mathematics. New York: McGraw-Hill, pp. 580-587.
    • Chebyshev, P.L. (1929). In D.E. Smith (d.), A source book in mathematics. New York: McGraw-Hill, pp. 580-587.
  • 7
    • 0003541259 scopus 로고
    • Theoria Combinations Observationum Erroribus minimis Obnoxiae
    • Göttingen: Dieterich
    • Gauss, C.F. (1823). Theoria Combinations Observationum Erroribus minimis Obnoxiae. Pars Prior, Pars Posterior, Supplementum. Göttingen: Dieterich.
    • (1823) Pars Prior, Pars Posterior, Supplementum
    • Gauss, C.F.1
  • 8
    • 33947517606 scopus 로고    scopus 로고
    • Gauss, K.F. (1995). Theory of the combination of observations least subject to errors, Part One, Part Two, Supplement. G.W. Stewart (trans.). Philadelphia: SIAM.
    • Gauss, K.F. (1995). Theory of the combination of observations least subject to errors, Part One, Part Two, Supplement. G.W. Stewart (trans.). Philadelphia: SIAM.
  • 9
    • 33747647957 scopus 로고    scopus 로고
    • Integer parameter estimation in linear models with applications to GPS
    • Hassibi, A. & Boyd, S. (1998). Integer parameter estimation in linear models with applications to GPS. IEEE Transactions on Signal Processing 46: 2938-2952.
    • (1998) IEEE Transactions on Signal Processing , vol.46 , pp. 2938-2952
    • Hassibi, A.1    Boyd, S.2
  • 12
    • 33947492133 scopus 로고
    • A note on a form of Tchebycheff's inequality for two variables
    • Lal, D.N. (1955). A note on a form of Tchebycheff's inequality for two variables. Sankhya 15: 317-320.
    • (1955) Sankhya , vol.15 , pp. 317-320
    • Lal, D.N.1
  • 13
    • 0033908648 scopus 로고    scopus 로고
    • Restoration of severely blurred high range images using stochastic and deterministic relaxation algorithms in compound Gauss-Markov random fields
    • Molina, R., Katseggelos, A.K., Mateos, J., Hermoso, A., & Segall, C.A. (2000). Restoration of severely blurred high range images using stochastic and deterministic relaxation algorithms in compound Gauss-Markov random fields. Pattern Recognition 33: 555-571.
    • (2000) Pattern Recognition , vol.33 , pp. 555-571
    • Molina, R.1    Katseggelos, A.K.2    Mateos, J.3    Hermoso, A.4    Segall, C.A.5
  • 14
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    • An inequality for multivariate Dirichlet distibution
    • Monhor, D. (1983). An inequality for multivariate Dirichlet distibution. Acta Mathematica Hungarica 47: 161-163.
    • (1983) Acta Mathematica Hungarica , vol.47 , pp. 161-163
    • Monhor, D.1
  • 15
    • 29944440353 scopus 로고    scopus 로고
    • Understanding the concept of outlier and its relevance to the assessment of data quality: Probabilistic background theory
    • Monhor, D. & Takemoto, S. (2005). Understanding the concept of outlier and its relevance to the assessment of data quality: Probabilistic background theory. Earth, Planets and Space 57: 1009-1018.
    • (2005) Earth, Planets and Space , vol.57 , pp. 1009-1018
    • Monhor, D.1    Takemoto, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.