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Volumn 82, Issue 10, 2012, Pages 1859-1863

Weighted Frechet means as convex combinations in metric spaces: Properties and generalized median inequalities

Author keywords

Abstract valued random variable; Barycenter; Convex operator; Frechet mean; Median inequality

Indexed keywords


EID: 84863536232     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2012.06.001     Document Type: Article
Times cited : (6)

References (11)
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  • 2
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    • Large sample theory of intrinsic and extrinsic sample means on manifolds. I
    • Bhattacharya R., Patrangenaru V. Large sample theory of intrinsic and extrinsic sample means on manifolds. I. The Annals of Statistics 2003, 31(1):1-29.
    • (2003) The Annals of Statistics , vol.31 , Issue.1 , pp. 1-29
    • Bhattacharya, R.1    Patrangenaru, V.2
  • 3
    • 84859863105 scopus 로고    scopus 로고
    • On the consistency of Frechet means in deformable models for curve and image analysis
    • Bigot J., Charlier B. On the consistency of Frechet means in deformable models for curve and image analysis. Electronic Journal of Statistics 2011, 5:1054-1089.
    • (2011) Electronic Journal of Statistics , vol.5 , pp. 1054-1089
    • Bigot, J.1    Charlier, B.2
  • 5
    • 0000315591 scopus 로고
    • Les éléments aléatoires de nature quelconque dans un espace distancié
    • Fréchet M. Les éléments aléatoires de nature quelconque dans un espace distancié. Annales de L'Institut Henri Poincaré 1948, 10(4):215-310.
    • (1948) Annales de L'Institut Henri Poincaré , vol.10 , Issue.4 , pp. 215-310
    • Fréchet, M.1
  • 6
    • 0040813399 scopus 로고
    • Mathematical expectation and strong law of large numbers for random variables with values in a metric space of negative curvature
    • Herer W. Mathematical expectation and strong law of large numbers for random variables with values in a metric space of negative curvature. Probability and Mathematical Statistics 1992, 13:59-70.
    • (1992) Probability and Mathematical Statistics , vol.13 , pp. 59-70
    • Herer, W.1
  • 8
    • 0001439513 scopus 로고
    • Strong law of large numbers for measures of central tendency and dispersion of random variables in compact metric spaces
    • Sverdrup-Thygeson H. Strong law of large numbers for measures of central tendency and dispersion of random variables in compact metric spaces. The Annals of Statistics 1981, 9(1):141-145.
    • (1981) The Annals of Statistics , vol.9 , Issue.1 , pp. 141-145
    • Sverdrup-Thygeson, H.1
  • 9
    • 33845614411 scopus 로고    scopus 로고
    • The law of large numbers in a metric space with a convex combination operation
    • Terán P., Molchanov I. The law of large numbers in a metric space with a convex combination operation. Journal of Theoretical Probability 2006, 19(4):875-898.
    • (2006) Journal of Theoretical Probability , vol.19 , Issue.4 , pp. 875-898
    • Terán, P.1    Molchanov, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.