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Annals of Applied Probability
Volumn 7, Issue 4, 1997, Pages 1106-1117
Inequalities for the probability content of a rotated ellipse and related stochastic domination results
Author keywords

Coupling; Majorization; Noncentral chi square distribution; Poisson mixture representation; Schur convex function; Stochastic ordering
Indexed keywords

EID: 0031260685     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1043862426     Document Type: Article
Times cited : (5)
References (11)
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    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 170-176
    • Anderson, T.W.1
  • 2
    • 0000907994 scopus 로고
    • A stochastic ordering of partial sums of independent random variables and of some random processes
    • BOLAND, P. J., PROSCHAN, F. and TONG, Y. L. (1992). A stochastic ordering of partial sums of independent random variables and of some random processes. J. Appl. Probab. 29 645-654.
    • (1992) J. Appl. Probab. , vol.29 , pp. 645-654
    • Boland, P.J.1    Proschan, F.2    Tong, Y.L.3
  • 3
    • 0000975831 scopus 로고
    • Inequalities for the probability content of a rotated square and related convolutions
    • HALL, R. L., KANTER, M. and PERLMAN, M. D. (1980). Inequalities for the probability content of a rotated square and related convolutions. Ann. Probab. 8 802-813.
    • (1980) Ann. Probab. , vol.8 , pp. 802-813
    • Hall, R.L.1    Kanter, M.2    Perlman, M.D.3
  • 4
    • 0010753151 scopus 로고
    • Association and probability inequalities
    • JOGDEO, K. (1977). Association and probability inequalities. Ann. Statist. 5 495-504.
    • (1977) Ann. Statist. , vol.5 , pp. 495-504
    • Jogdeo, K.1
  • 5
    • 0001041881 scopus 로고
    • Stochastic inequalities on partially ordered spaces
    • KAMAE, T., KRENGEL, U. and O'BRIEN, G. L. (1977). Stochastic inequalities on partially ordered spaces. Ann. Probab. 5 899-912.
    • (1977) Ann. Probab. , vol.5 , pp. 899-912
    • Kamae, T.1    Krengel, U.2    O'Brien, G.L.3
  • 9
    • 0010746868 scopus 로고
    • Parametric Schur convexity and arrangement monotonicity properties of partial sums
    • SHAKED, M., SHANTHIKUMAR, J. G. and TONG, Y. L. (1995). Parametric Schur convexity and arrangement monotonicity properties of partial sums. J. Multivariate Anal. 53 293-310.
    • (1995) J. Multivariate Anal. , vol.53 , pp. 293-310
    • Shaked, M.1    Shanthikumar, J.G.2    Tong, Y.L.3
  • 10
    • 0000649228 scopus 로고
    • The existence of probability measures with given marginals
    • STRASSEN, V. (1965). The existence of probability measures with given marginals. Ann. Math. Statist. 36 423-439.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 423-439
    • Strassen, V.1
  • 11
    • 0003313363 scopus 로고
    • Stochastic ordering and dependence in applied probability
    • Springer, New York
    • SZEKLI, R. (1995). Stochastic Ordering and Dependence in Applied Probability. Lecture Notes in Statist. 97. Springer, New York.
    • (1995) Lecture Notes in Statist. , vol.97
    • Szekli, R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.