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Volumn 97, Issue 8, 2006, Pages 1757-1765

Choosing joint distributions so that the variance of the sum is small

Author keywords

Antithetic; Convexity; Mellin; Radial; Symmetry

Indexed keywords


EID: 33746917556     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2006.01.004     Document Type: Article
Times cited : (14)

References (9)
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  • 2
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    • The Fréchet distance between multivariate normal distributions
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    • Dowson, C.D.1    Landau, B.U.2
  • 3
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    • On a class of extremal problems in statistics
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    • (1981) Math. Oper. Statist. , vol.12 , pp. 123-135
    • Gaffke, N.1    Rüschendorf, L.2
  • 4
    • 33746888143 scopus 로고    scopus 로고
    • W. Gangbo, A. Świȩch, Optimal maps for the multidimensional Monge-Kantorovich problem, Technical Report, 1996.
  • 5
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    • The distance between two random vectors with given dispersion matrices
    • Olkin I., and Pukelsheim F. The distance between two random vectors with given dispersion matrices. Linear Algebra Appl. 48 (1982) 257-263
    • (1982) Linear Algebra Appl. , vol.48 , pp. 257-263
    • Olkin, I.1    Pukelsheim, F.2
  • 6
    • 21144483881 scopus 로고
    • Maximum submatrix traces for positive definite matrices
    • Olkin I., and Rachev S.T. Maximum submatrix traces for positive definite matrices. SIAM J. Matrix Anal. Appl. 14 (1993) 390-397
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , pp. 390-397
    • Olkin, I.1    Rachev, S.T.2
  • 7
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    • On optimal multivariate couplings
    • Beneš V., and Štěpán J. (Eds), Kluwer Academic Publishers, Dordrecht
    • Rüschendorf L., and Uckelmann L. On optimal multivariate couplings. In: Beneš V., and Štěpán J. (Eds). Distributions with Given Marginals and Moment Problems (1997), Kluwer Academic Publishers, Dordrecht 261-273
    • (1997) Distributions with Given Marginals and Moment Problems , pp. 261-273
    • Rüschendorf, L.1    Uckelmann, L.2
  • 8
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    • Variance minimization and random variables with constant sum
    • Cuadras C.M., Fortiana J., and Rodríguez-Lallena J.A. (Eds), Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Rüschendorf L., and Uckelmann L. Variance minimization and random variables with constant sum. In: Cuadras C.M., Fortiana J., and Rodríguez-Lallena J.A. (Eds). Distributions with Given Marginals and Statistical Modelling (2002), Kluwer Academic Publishers, Dordrecht, The Netherlands 211-222
    • (2002) Distributions with Given Marginals and Statistical Modelling , pp. 211-222
    • Rüschendorf, L.1    Uckelmann, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.