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Volumn 59, Issue 1, 1996, Pages 34-59

Expansion of perturbed random variables based on generalized wiener functionals

Author keywords

Asymptotic expansion; Malliavin calculus; Scale mixture

Indexed keywords


EID: 0030268426     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.0053     Document Type: Article
Times cited : (8)

References (18)
  • 2
    • 51249177466 scopus 로고
    • Error bounds for asymptotic expansions of the distribution of the MLE in a GMANOVA model
    • 2. Fujikoshi, Y. (1987). Error bounds for asymptotic expansions of the distribution of the MLE in a GMANOVA model. Ann. Inst. Statist. Math. 39 153-161.
    • (1987) Ann. Inst. Statist. Math. , vol.39 , pp. 153-161
    • Fujikoshi, Y.1
  • 3
    • 38249007586 scopus 로고
    • Error bounds for asymptotic expansions of scale mixture of univariate and multivariate distributions
    • 3. Fujikoshi, Y., and Shimizu, R. (1989). Error bounds for asymptotic expansions of scale mixture of univariate and multivariate distributions. J. Multivariate Anal. 30 279-291.
    • (1989) J. Multivariate Anal. , vol.30 , pp. 279-291
    • Fujikoshi, Y.1    Shimizu, R.2
  • 4
    • 0011469799 scopus 로고
    • Asymptotic expansions of some mixtures of the multivariate normal distribution and their error bounds
    • 4. Fujikoshi, Y., and Shimizu, R. (1989). Asymptotic expansions of some mixtures of the multivariate normal distribution and their error bounds. Ann. Statist. 17 1124-1132.
    • (1989) Ann. Statist. , vol.17 , pp. 1124-1132
    • Fujikoshi, Y.1    Shimizu, R.2
  • 5
    • 0001870139 scopus 로고
    • Improved set estimators for a multivariate normal mean
    • 5. Hwang, J. T., and Casella, G. (1984). Improved set estimators for a multivariate normal mean. Statist. Decisions, Suppl. Issue 1 3-16.
    • (1984) Statist. Decisions, Suppl. Issue , vol.1 , pp. 3-16
    • Hwang, J.T.1    Casella, G.2
  • 7
    • 0011421778 scopus 로고
    • Inadmissibility of the usual confidence sets for the mean of a multivariate normal population
    • 7. Joshi, V. M. (1967). Inadmissibility of the usual confidence sets for the mean of a multivariate normal population. Ann. Math. Statist. 38 1868-1875.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1868-1875
    • Joshi, V.M.1
  • 8
    • 0001912992 scopus 로고
    • Precise asymptotics of certain Wiener functionals
    • 8. Kusuoka, S., and Stroock, D. W. (1991). Precise asymptotics of certain Wiener functionals. J. Functional Anal. 99 1-74.
    • (1991) J. Functional Anal. , vol.99 , pp. 1-74
    • Kusuoka, S.1    Stroock, D.W.2
  • 11
    • 85008543852 scopus 로고
    • Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type
    • 11. Takanobu, S. (1988). Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type. Publ. RIMS, Kyoto Univ. 24 169-203.
    • (1988) Publ. RIMS, Kyoto Univ. , vol.24 , pp. 169-203
    • Takanobu, S.1
  • 13
    • 0011518648 scopus 로고
    • On a short time expansion of the fundamental solution of heat equations by the method of Wiener functionals
    • 13. Uemura, H. (1987). On a short time expansion of the fundamental solution of heat equations by the method of Wiener functionals. J. Math. Kyoto Univ. 27 417-431.
    • (1987) J. Math. Kyoto Univ. , vol.27 , pp. 417-431
    • Uemura, H.1
  • 14
    • 0002638391 scopus 로고
    • Analysis of Wiener functionals (Malliavin calculus) and its applications to hear kernels
    • 14. Watanabe, S. (1987). Analysis of Wiener functionals (Malliavin calculus) and its applications to hear kernels. Ann. Probab. 15 1-39.
    • (1987) Ann. Probab. , vol.15 , pp. 1-39
    • Watanabe, S.1
  • 17
    • 0000431807 scopus 로고
    • Asymptotic expansions for small diffusions via the theory of Malliavin-Watanabe
    • 17. Yoshida, N. (1992). Asymptotic expansions for small diffusions via the theory of Malliavin-Watanabe. Probab. Theory Relat. Fields 92 275-311.
    • (1992) Probab. Theory Relat. Fields , vol.92 , pp. 275-311
    • Yoshida, N.1
  • 18
    • 21144468517 scopus 로고
    • Asymptotic expansion of Bayes estimators for small diffusions
    • 18. Yoshida, N. (1993). Asymptotic expansion of Bayes estimators for small diffusions. Probab. Theory Relat. Fields 95 429-450.
    • (1993) Probab. Theory Relat. Fields , vol.95 , pp. 429-450
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.