On the exact bootstrap distribution of linear statistics

Metron

Volumn 58, Issue 1-2, 2000, Pages 53-63

  Barabesi, L ^a  

^a UNIVERSITY OF SIENA   (Italy)

Author keywords

Bootstrap; Exact distribution; Linear statistics; Probability generating function

Indexed keywords

EID: 84891410754     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Baglivo, J., Pagano, M. and Spino, C. (1996) Permutation distributions via generating functions with applications to sensivity analysis of discrete data, Journal of the American Statistical Association, 91, 1037-1046.
2. Barabesi, L. (1998a) The computation of the distribution of the sign test statistic for ranked-set sampling, Communication in Statistics, Simulation and Computation, 27, 833-842.
3. Barabesi, L. (1998b) The computation of the null distribution of Kendall's tau statistic, Working Paper 20, Dipartimento di Metodi Quantitativi, Università di Siena.
4. Diaconis, P. and Holmes, S. (1994) Gray codes for randomization procedures, Statistics and Computing, 4, 287-302.
5. Efron, B. and Tibshirani, R.J. (1993) An introduction to the bootstrap, London: Chapman and Hall.
6. Gray, J. (1994) Mastering Mathematica, New York: Academic Press.
7. Fisher, N.I. and Hall, P. (1991) Bootstrap algorithms for small samples, Journal of Statistical Planning and Inference, 27, 157-169.
8. Hall, P. (1987) On the bootstrap and likelihood-based confidence regions, Biometrika, 74, 481-493.
9. Hall, P. (1992) The bootstrap and Edgeworth expansion, New-York: Springer-Verlag.
10. Hills, M., Mc Conway, K. (1987) M345 Statistical Methods, Unit 13: Multivariate data, Milton Keynes: The Open University.
11. Maeder, R. (1994) The Mathematica programmer, New York: Academic Press.
12. Pagano, M. and Tritchler, D. (1983) On obtaining permutation distribution in polynomial time, Journal of the American Statistical Association, 78, 435-440.
13. Pallini, A. (1992) On characteristic function-based bootstrap test, Journal of the Italian Statistical Society, 1, 77-86.
14. Pesarin, F. (1979) Elementi di calcolo delle probabilità, Padova: Cleup.
15. Ryan, T.A. Jr., Joiner, B.L. and Ryan, B.F. (1985) The Minitab student handbook, Boston: Duxbury Press.
16. Shao, J. and Tu, D. (1995) The jackknife and the bootstrap, Berlin: Springer.
17. Steland, A. (1998) Bootstrapping rank statistics, Metrika, 47, 251-264.
18. Vollset, S.E., Hirji, K.F. and Elashoff, R.M. (1991) Fast computation of exact confidence limits for the common odds ratio in a series of 2×2 tables, Journal of the American Statistical Association, 86, 404-409.
19. Wolfram, S. (1996) The Mathematica book, 3rd ed., Wolfram Media/Cambridge University Press.