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Volumn 99, Issue 3, 2008, Pages 542-554

From moments of sum to moments of product

Author keywords

Moments of product; Product of quadratic forms; Product of random variables

Indexed keywords


EID: 38349151562     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2007.01.013     Document Type: Article
Times cited : (130)

References (23)
  • 2
    • 38249038654 scopus 로고
    • Moments of elliptically distributed random variates
    • Berkane M., and Bentler P.M. Moments of elliptically distributed random variates. Statist. Probab. Lett. 4 (1986) 333-335
    • (1986) Statist. Probab. Lett. , vol.4 , pp. 333-335
    • Berkane, M.1    Bentler, P.M.2
  • 3
    • 0142042389 scopus 로고    scopus 로고
    • Multivariate quadratic forms of random vectors
    • Blacher R. Multivariate quadratic forms of random vectors. J. Multivariate Anal. 87 (2003) 2-23
    • (2003) J. Multivariate Anal. , vol.87 , pp. 2-23
    • Blacher, R.1
  • 4
    • 84995018737 scopus 로고
    • The expecation of products of quadratic forms in normal variables
    • Don F.J.H. The expecation of products of quadratic forms in normal variables. Statist. Neerlandica 33 (1979) 73-79
    • (1979) Statist. Neerlandica , vol.33 , pp. 73-79
    • Don, F.J.H.1
  • 5
    • 38349147803 scopus 로고    scopus 로고
    • W. Feller, An Introduction to Probability Theory and its Applications, vol. I, third ed., Wiley, New York, 1968.
  • 6
    • 0039220510 scopus 로고
    • Moments and cumulants of the multivariate normal distribution
    • Holmquist B. Moments and cumulants of the multivariate normal distribution. Stochastic Anal. Appl. 6 3 (1988) 273-278
    • (1988) Stochastic Anal. Appl. , vol.6 , Issue.3 , pp. 273-278
    • Holmquist, B.1
  • 7
    • 21344466494 scopus 로고    scopus 로고
    • Expectations of products of quadratic forms in normal variables
    • Holmquist B. Expectations of products of quadratic forms in normal variables. Stochastic Anal. Appl. 14 2 (1996) 149-164
    • (1996) Stochastic Anal. Appl. , vol.14 , Issue.2 , pp. 149-164
    • Holmquist, B.1
  • 8
    • 0000951308 scopus 로고
    • On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables
    • Isserlis L. On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables. Biometrika 12 1,2 (1918) 134-139
    • (1918) Biometrika , vol.12 , Issue.1-2 , pp. 134-139
    • Isserlis, L.1
  • 9
    • 0345992780 scopus 로고
    • Higher order moments of random vectors using matrix derivatives
    • Jinadasa K., and Tracy D.S. Higher order moments of random vectors using matrix derivatives. Stochastic Anal. Appl. 4 (1986) 399-407
    • (1986) Stochastic Anal. Appl. , vol.4 , pp. 399-407
    • Jinadasa, K.1    Tracy, D.S.2
  • 10
    • 38349187032 scopus 로고    scopus 로고
    • M.G. Kendall, A. Stuart, The advanced Theory of Statistics, vol, 1, fourth ed., Charles Griffin and Co., London, 1977.
  • 11
    • 0346623901 scopus 로고
    • Expectations of products of quadratic forms
    • Kumar A. Expectations of products of quadratic forms. Sankhyā Ser. B 35 (1973) 359-362
    • (1973) Sankhyā Ser. B , vol.35 , pp. 359-362
    • Kumar, A.1
  • 12
    • 84995046219 scopus 로고
    • The moment of products of quadratic forms in normal variables
    • Magnus J. The moment of products of quadratic forms in normal variables. Statist. Neerlandica 32 (1978) 201-210
    • (1978) Statist. Neerlandica , vol.32 , pp. 201-210
    • Magnus, J.1
  • 13
    • 84995094182 scopus 로고
    • The expectation of products of quadratic forms in normal variables: the practice
    • Magnus J. The expectation of products of quadratic forms in normal variables: the practice. Statist. Neerlandica 33 (1979) 131-136
    • (1979) Statist. Neerlandica , vol.33 , pp. 131-136
    • Magnus, J.1
  • 14
    • 0002239280 scopus 로고
    • The exact moments of a ratio of quadratic forms in normal variables
    • Magnus J. The exact moments of a ratio of quadratic forms in normal variables. Ann. Économ. Statist. 4 (1986) 95-109
    • (1986) Ann. Économ. Statist. , vol.4 , pp. 95-109
    • Magnus, J.1
  • 15
    • 33750026682 scopus 로고    scopus 로고
    • Estimation of moment parameter in elliptical distributions
    • Maruyama Y., and Seo T. Estimation of moment parameter in elliptical distributions. J. Japan Statist. Soc. 33 2 (2003) 215-229
    • (2003) J. Japan Statist. Soc. , vol.33 , Issue.2 , pp. 215-229
    • Maruyama, Y.1    Seo, T.2
  • 18
    • 0000989367 scopus 로고
    • Probability content of regions under spherical normal distributions, IV: The distribution of homogeneous and non-homogeneous quadratic functions of normal variables
    • Ruben H. Probability content of regions under spherical normal distributions, IV: The distribution of homogeneous and non-homogeneous quadratic functions of normal variables. Ann. Math. Statist. 33 (1962) 542-570
    • (1962) Ann. Math. Statist. , vol.33 , pp. 542-570
    • Ruben, H.1
  • 19
    • 0142010573 scopus 로고    scopus 로고
    • Kronecker product permutation matrices and their application to moment matrices of the normal distribution
    • Schott J.R. Kronecker product permutation matrices and their application to moment matrices of the normal distribution. J. Multivariate Anal. 87 (2003) 177-190
    • (2003) J. Multivariate Anal. , vol.87 , pp. 177-190
    • Schott, J.R.1
  • 21
    • 26844528516 scopus 로고
    • Expectations of products of random quadratic forms
    • Tracy D.S., and Jinadasa K.G. Expectations of products of random quadratic forms. Stochastic Anal. Appl. 4 (1986) 111-116
    • (1986) Stochastic Anal. Appl. , vol.4 , pp. 111-116
    • Tracy, D.S.1    Jinadasa, K.G.2
  • 22
    • 0142089663 scopus 로고
    • Higher order moments of multivariate normal distribution using matrix derivatives
    • Tracy D.S., and Sultan S.A. Higher order moments of multivariate normal distribution using matrix derivatives. Stochastic Anal. Appl. 11 (1993) 337-348
    • (1993) Stochastic Anal. Appl. , vol.11 , pp. 337-348
    • Tracy, D.S.1    Sultan, S.A.2
  • 23
    • 33645809087 scopus 로고    scopus 로고
    • On the central moments of the multidimensional Guassian distribution
    • Triantafyllopoulos K. On the central moments of the multidimensional Guassian distribution. Math. Scientist 28 (2003) 125-128
    • (2003) Math. Scientist , vol.28 , pp. 125-128
    • Triantafyllopoulos, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.