메뉴 건너뛰기




Volumn 56, Issue 12, 2012, Pages 4301-4311

Approximating the tail of the Anderson-Darling distribution

Author keywords

Anderson Darling distribution; Approximating function; Generalized splitting; Hit and run sampler; Rare event estimation

Indexed keywords

ANDERSON-DARLING DISTRIBUTION; GENERALIZED SPLITTING; HIT-AND-RUN SAMPLER; MONTE CARLO; MONTE CARLO APPROACH; NUMERICAL APPROXIMATIONS; NUMERICAL INVERSION; STATISTICAL TESTING; TAIL PROBABILITY;

EID: 84864138202     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2012.04.002     Document Type: Article
Times cited : (22)

References (22)
  • 2
    • 0000923503 scopus 로고
    • Asymptotic theory of certain 'goodness-of-fit' criteria based on stochastic processes
    • T.W. Anderson, and D.A. Darling Asymptotic theory of certain 'goodness-of-fit' criteria based on stochastic processes The Annals of Mathematical Statistics 23 1952 193 212
    • (1952) The Annals of Mathematical Statistics , vol.23 , pp. 193-212
    • Anderson, T.W.1    Darling, D.A.2
  • 4
    • 81955165474 scopus 로고    scopus 로고
    • Efficient Monte Carlo simulation via the generalized splitting method
    • Z.I. Botev, and D.P. Kroese Efficient Monte Carlo simulation via the generalized splitting method Statistics and Computing 22 2012 1 16
    • (2012) Statistics and Computing , vol.22 , pp. 1-16
    • Botev, Z.I.1    Kroese, D.P.2
  • 5
    • 21844492326 scopus 로고
    • The relationship between Fisher's exact test and Pearson's chi-square test: A Bayesian perspective
    • G. Camilli The relationship between Fisher's exact test and Pearson's chi-square test: a Bayesian perspective Psychometrika 60 1995 305 312
    • (1995) Psychometrika , vol.60 , pp. 305-312
    • Camilli, G.1
  • 7
    • 40949151342 scopus 로고    scopus 로고
    • A saddlepoint approximation to the distribution function of the Anderson-Darling test statistic
    • D.E.A. Giles A saddlepoint approximation to the distribution function of the Anderson-Darling test statistic Communications in Statistic, B - Simulation and Computation 30 2001 899 905
    • (2001) Communications in Statistic, B - Simulation and Computation , vol.30 , pp. 899-905
    • Giles, D.E.A.1
  • 9
    • 0342955480 scopus 로고    scopus 로고
    • Close-point spatial tests and their application to random number generators
    • P. L'Ecuyer, J. Cordeau, and R. Simard Close-point spatial tests and their application to random number generators Operations Research 48 2 2000 308 317
    • (2000) Operations Research , vol.48 , Issue.2 , pp. 308-317
    • L'Ecuyer, P.1    Cordeau, J.2    Simard, R.3
  • 10
    • 34548237327 scopus 로고    scopus 로고
    • TestU01: A C library for empirical testing of random number generators
    • P. L'Ecuyer, and R. Simard TestU01: a C library for empirical testing of random number generators ACM Transactions on Mathematical Software 33 4 2007
    • (2007) ACM Transactions on Mathematical Software , vol.33 , Issue.4
    • L'Ecuyer, P.1    Simard, R.2
  • 11
    • 0010382046 scopus 로고
    • Distribution of the Anderson-Darling statistic
    • P.A.W. Lewis Distribution of the Anderson-Darling statistic Annals of Mathematical Statistics 32 1961 1118 1124
    • (1961) Annals of Mathematical Statistics , vol.32 , pp. 1118-1124
    • Lewis, P.A.W.1
  • 18
    • 0000898845 scopus 로고
    • An analysis of variance test for normality (complete samples)
    • S.S. Shapiro, and M.B. Wilk An analysis of variance test for normality (complete samples) Biometrika 52 1965 591 611
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 19
    • 0011517256 scopus 로고
    • Approximations to the distribution function of the Anderson-Darling test statistic
    • C.D. Sinclair, and B.D. Spurr Approximations to the distribution function of the Anderson-Darling test statistic Journal of the American Statistical Association 83 1988 1190 1191
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 1190-1191
    • Sinclair, C.D.1    Spurr, B.D.2
  • 21
    • 0021517318 scopus 로고
    • Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions
    • R.L. Smith Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions Operations Research 32 1984 1296 1308
    • (1984) Operations Research , vol.32 , pp. 1296-1308
    • Smith, R.L.1
  • 22
    • 0030414264 scopus 로고    scopus 로고
    • The Hit-and-Run sampler: A globally reaching Markov Chain sampler for generating arbitrary multivariate distributions
    • IEEE Computer Society
    • R.L. Smith The Hit-and-Run sampler: a globally reaching Markov Chain sampler for generating arbitrary multivariate distributions Proceedings of the 28th Conference on Winter Simulation 1996 IEEE Computer Society 260 264
    • (1996) Proceedings of the 28th Conference on Winter Simulation , pp. 260-264
    • Smith, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.