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Volumn 59, Issue 2, 1996, Pages 282-307

Mixtures of global and local edgeworth expansions and their applications

Author keywords

Asymptotic expansions; Bayesian bootstrap; Bootstrap; Chebyshev Hermite polynomial; Dirchlet distribution; Expansions for conditional distributions; Gamma distribution; Lattice distribution; Local limit theorems; Sampling without replacement; Weighted bootstra

Indexed keywords


EID: 16144367183     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.0066     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0011570572 scopus 로고
    • Subsample and half-sample methods
    • [1] Babu, G. J. (1992). Subsample and half-sample methods. Ann. Inst. Statist. Math. 44 703-720.
    • (1992) Ann. Inst. Statist. Math. , vol.44 , pp. 703-720
    • Babu, G.J.1
  • 2
    • 0001684348 scopus 로고
    • Inference on means using the bootstrap
    • [2] Babu, G. J., and Singh, K. (1983). Inference on means using the bootstrap. Statist. 11 999-1003.
    • (1983) Statist. , vol.11 , pp. 999-1003
    • Babu, G.J.1    Singh, K.2
  • 3
    • 0000447704 scopus 로고
    • On one term Edgeworth correction by Efron's Bootstrap
    • [3] Babu, G. J., and Singh, K. (1984). On one term Edgeworth correction by Efron's Bootstrap. Sankhyā Ser. A 46 219-232.
    • (1984) Sankhyā Ser. A , vol.46 , pp. 219-232
    • Babu, G.J.1    Singh, K.2
  • 4
    • 0000658664 scopus 로고
    • Edgeworth expansions for sampling without replacement from finite populations
    • [4] Babu, G. J., and Singh, K. (1985). Edgeworth expansions for sampling without replacement from finite populations. J. Multivariate Anal. 17 261-278.
    • (1985) J. Multivariate Anal. , vol.17 , pp. 261-278
    • Babu, G.J.1    Singh, K.2
  • 5
    • 0000932051 scopus 로고
    • On Edgeworth expansions in the mixture cases
    • [5] Babu, G. J., and Singh, K. (1989). On Edgeworth expansions in the mixture cases. Ann. Statist. 17 443-447.
    • (1989) Ann. Statist. , vol.17 , pp. 443-447
    • Babu, G.J.1    Singh, K.2
  • 6
    • 0000931301 scopus 로고
    • On the validity of the formal Edgeworth expansion
    • [6] Bhattacharya, R. N., and Ghosh, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist. 6 434-451.
    • (1978) Ann. Statist. , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 8
    • 0002491575 scopus 로고
    • On the central limit theorem for samples from finite population
    • [8] Erdös, P., and Rényi, A. (1959). On the central limit theorem for samples from finite population. Publ. Math. Inst. Hungar. Acad. Sci. 4 49-61.
    • (1959) Publ. Math. Inst. Hungar. Acad. Sci. , vol.4 , pp. 49-61
    • Erdös, P.1    Rényi, A.2
  • 9
    • 0000712557 scopus 로고
    • Bootstrap procedures under some non-i.i.d. Models
    • [9] Liu, R. Y. (1988). Bootstrap procedures under some non-i.i.d. models. Ann. Statist. 6 1696-1708.
    • (1988) Ann. Statist. , vol.6 , pp. 1696-1708
    • Liu, R.Y.1
  • 10
    • 0000013631 scopus 로고
    • Bayesian bootstrap clones and a biometry function
    • [10] Lo, A. Y. (1991). Bayesian bootstrap clones and a biometry function. Sankhyā Ser. A 53 320-333.
    • (1991) Sankhyā Ser. A , vol.53 , pp. 320-333
    • Lo, A.Y.1
  • 11
    • 0000883907 scopus 로고
    • Nonuniform central limit bounds with applications to probabilities of deviations
    • [11] Michel, R. (1976). Nonuniform central limit bounds with applications to probabilities of deviations. Ann. Probab. 4 102-106.
    • (1976) Ann. Probab. , vol.4 , pp. 102-106
    • Michel, R.1
  • 13
    • 0001018767 scopus 로고
    • Exchangeably weighted bootstraps of the general empirical process
    • [13] Præstgaard, J., and Wellner, J. A. (1993). Exchangeably weighted bootstraps of the general empirical process. Ann. Probab. 21 2053-2086.
    • (1993) Ann. Probab. , vol.21 , pp. 2053-2086
    • Præstgaard, J.1    Wellner, J.A.2
  • 14
    • 0000135972 scopus 로고
    • The Bayesian bootstrap
    • [14] Rubin, D. B. (1981). The Bayesian bootstrap. Ann. Statist. 9 130-134.
    • (1981) Ann. Statist. , vol.9 , pp. 130-134
    • Rubin, D.B.1
  • 15
    • 0011570573 scopus 로고
    • On the Edgeworth expansions of random weighing methods
    • [15] Tu, D. S., and Zheng, Z. G. (1987). On the Edgeworth expansions of random weighing methods. Chinese J. Appl. Probab. Statist. 3 340-347.
    • (1987) Chinese J. Appl. Probab. Statist. , vol.3 , pp. 340-347
    • Tu, D.S.1    Zheng, Z.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.