메뉴 건너뛰기




Volumn 23, Issue 1, 2000, Pages 15-29

Normal approximations by Stein's method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0005190475     PISSN: 15938883     EISSN: 11296569     Source Type: Journal    
DOI: 10.1007/s102030050003     Document Type: Article
Times cited : (18)

References (26)
  • 1
    • 0000380180 scopus 로고
    • On central limit theorems in geometrical probability
    • Avram, F., Bertsimas, D. (1993): On central limit theorems in geometrical probability. The Annals of Applied Probability 3, 1033-1046
    • (1993) The Annals of Applied Probability , vol.3 , pp. 1033-1046
    • Avram, F.1    Bertsimas, D.2
  • 2
    • 0000193451 scopus 로고
    • On normal approximations of distributions in terms of dependency graphs
    • Baldi, P., Rinott, Y. (1989): On normal approximations of distributions in terms of dependency graphs. The Annals of Probability 17, 1646-1650
    • (1989) The Annals of Probability , vol.17 , pp. 1646-1650
    • Baldi, P.1    Rinott, Y.2
  • 3
    • 0010668163 scopus 로고
    • A normal approximation for the number of local maxima of a random function on a graph
    • Anderson, T. W., Athreya, K. B., Iglehart, D. L. (eds). Papers in honor of Samuel Karlin. Academic Press, Boston
    • Baldi, P., Rinott Y., Stein, C. (1989): A normal approximation for the number of local maxima of a random function on a graph. In: Anderson, T. W., Athreya, K. B., Iglehart, D. L. (eds): Probability, statistics, and mathematics. Papers in honor of Samuel Karlin. Academic Press, Boston, pp. 59-81
    • (1989) Probability, Statistics, and Mathematics , pp. 59-81
    • Baldi, P.1    Rinott, Y.2    Stein, C.3
  • 5
    • 0038870266 scopus 로고    scopus 로고
    • Stein's method
    • Kotz, S., Read, C. B., Bakks, D.L. (eds). Update Vol. Wiley, New York
    • Barbour, A.D. (1997): Stein's method. In: Kotz, S., Read, C. B., Bakks, D.L. (eds): Encyclopedia of statistical sciences. Update Vol. Wiley, New York
    • (1997) Encyclopedia of Statistical Sciences
    • Barbour, A.D.1
  • 8
    • 38249005717 scopus 로고
    • A central limit theorem for decomposable random variables with applications to random graphs
    • Barbour, A.D., Karoński, M., Ruciński, A. (1989): A central limit theorem for decomposable random variables with applications to random graphs. Journal of Combinatorial Theory. Series B 47, 125-145
    • (1989) Journal of Combinatorial Theory. Series B , vol.47 , pp. 125-145
    • Barbour, A.D.1    Karoński, M.2    Ruciński, A.3
  • 9
    • 0000963887 scopus 로고
    • Exact convergence rates in some martingale central limit theorems
    • Bolfhausen, E. (1982): Exact convergence rates in some martingale central limit theorems. The Annals of Probability 10, 672-688
    • (1982) The Annals of Probability , vol.10 , pp. 672-688
    • Bolfhausen, E.1
  • 11
    • 21344480022 scopus 로고
    • The rate of convergence for multivariate sampling statistics
    • Bolfhausen, E., Götze, F. (1993): The rate of convergence for multivariate sampling statistics. The Annals of Statistics 21, 1692-1710
    • (1993) The Annals of Statistics , vol.21 , pp. 1692-1710
    • Bolfhausen, E.1    Götze, F.2
  • 12
    • 0011228466 scopus 로고    scopus 로고
    • Stein's method: Some perspectives with applications
    • (Lecture Notes in Statistics). Springer, New York
    • Chen, L.H.Y (1998): Stein's method: some perspectives with applications. Probability towards 2000. (Lecture Notes in Statistics) 128. Springer, New York, pp. 97-122
    • (1998) Probability Towards 2000 , vol.128 , pp. 97-122
    • Chen, L.H.Y.1
  • 13
    • 0010750292 scopus 로고    scopus 로고
    • Some examples of normal approximations by Stein's method
    • Aldous, D., Pemantle, R. (eds). Springer, New York
    • Dembo, A, Rinott, Y. (1996): Some examples of normal approximations by Stein's method. In: Aldous, D., Pemantle, R. (eds): Random Discrete Structures. (The IMA Volumes in Mathematics and its Applications, 76). Springer, New York, pp. 25-44
    • (1996) Random Discrete StructuresThe IMA Volumes in Mathematics and Its Applications , vol.76 , pp. 25-44
    • Dembo, A.1    Rinott, Y.2
  • 14
  • 15
    • 0032387555 scopus 로고    scopus 로고
    • Algebraic algorithm for sampling from conditional distributions
    • Diaconis, P., Sturmfels, B. (1998): Algebraic algorithm for sampling from conditional distributions. Annals of Statistics 26, 363-397
    • (1998) Annals of Statistics , vol.26 , pp. 363-397
    • Diaconis, P.1    Sturmfels, B.2
  • 16
    • 0031260681 scopus 로고    scopus 로고
    • Stein's method and the zero bias transformation with applications to simple random sampling
    • Goldstein, L., Reinert, G. (1997): Stein's method and the zero bias transformation with applications to simple random sampling. The Annals of Applied Probability 7, 935-952
    • (1997) The Annals of Applied Probability , vol.7 , pp. 935-952
    • Goldstein, L.1    Reinert, G.2
  • 17
    • 0030535645 scopus 로고    scopus 로고
    • Multivariate normal approximations by Stein's method and size bias couplings
    • Goldstein, L., Rinott, Y. (1996): Multivariate normal approximations by Stein's method and size bias couplings. Journal of Applied Probability 33, 1-17
    • (1996) Journal of Applied Probability , vol.33 , pp. 1-17
    • Goldstein, L.1    Rinott, Y.2
  • 18
    • 0001354702 scopus 로고
    • On the rate of convergence in the multivariate CLT
    • Götze, F. (1991): On the rate of convergence in the multivariate CLT. The Annals of Probability 19, 724-739
    • (1991) The Annals of Probability , vol.19 , pp. 724-739
    • Götze, F.1
  • 19
    • 0003545914 scopus 로고
    • (Wiley Series in Probability and Mathematical Statistics.) Wiley, New York
    • Lindvall, T. (1992): Lectures on the coupling method. (Wiley Series in Probability and Mathematical Statistics.) Wiley, New York
    • (1992) Lectures on the Coupling Method
    • Lindvall, T.1
  • 20
    • 0030075451 scopus 로고    scopus 로고
    • 1/2logn rate and applications to multivariate graph related statistics
    • 1/2logn rate and applications to multivariate graph related statistics. Journal of Multivariate Analysis 56, 333-350
    • (1996) Journal of Multivariate Analysis , vol.56 , pp. 333-350
    • Rinott, Y.1    Rotar, V.2
  • 21
    • 0031260684 scopus 로고    scopus 로고
    • On coupling constructions and rates in the CLT for dependent summands with applications to the anti voter model and weighted U-statistics
    • Rinott, Y., Rotar, V. (1997): On coupling constructions and rates in the CLT for dependent summands with applications to the anti voter model and weighted U-statistics. The Annals of Applied Probability 7, 1080-1105
    • (1997) The Annals of Applied Probability , vol.7 , pp. 1080-1105
    • Rinott, Y.1    Rotar, V.2
  • 23
    • 8744287529 scopus 로고
    • Proving normality in combinatorics
    • Frieze, A., Luczak, T. (eds.). Wiley, New York
    • Rucinski, A. (1992): Proving normality in combinatorics. In: Frieze, A., Luczak, T. (eds.): Random graphs. Volume 2. Wiley, New York, pp. 215-231
    • (1992) Random Graphs , vol.2 , pp. 215-231
    • Rucinski, A.1
  • 24
    • 0000457248 scopus 로고
    • A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
    • Univ. California Press, Berkeley
    • Stein, C. (1972): A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics Probability 2. Univ. California Press, Berkeley, pp. 583-602
    • (1972) Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics Probability , vol.2 , pp. 583-602
    • Stein, C.1
  • 26
    • 0010747985 scopus 로고
    • A way of using auxiliary randomization
    • Chen, L.H.Y, Choi, K.P., Hu, K., Lou, J.H. (eds). De Gruyter, Berlin
    • Stein, C. (1992): A way of using auxiliary randomization. In: Chen, L.H.Y, Choi, K.P., Hu, K., Lou, J.H. (eds): Probability theory. De Gruyter, Berlin, pp. 159-180
    • (1992) Probability Theory , pp. 159-180
    • Stein, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.