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Edgeworth expansions for compound Poisson processes and the bootstrap

Author

Listed:
  • Gutti Babu
  • Kesar Singh
  • Yaning Yang

Abstract

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Suggested Citation

  • Gutti Babu & Kesar Singh & Yaning Yang, 2003. "Edgeworth expansions for compound Poisson processes and the bootstrap," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(1), pages 83-94, March.
  • Handle: RePEc:spr:aistmt:v:55:y:2003:i:1:p:83-94
    DOI: 10.1007/BF02530486
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    References listed on IDEAS

    as
    1. Babu, G. Jogesh & Singh, Kesar, 1985. "Edgeworth expansions for sampling without replacement from finite populations," Journal of Multivariate Analysis, Elsevier, vol. 17(3), pages 261-278, December.
    2. Babu, G. J. & Bose, A., 1988. "Bootstrap confidence intervals," Statistics & Probability Letters, Elsevier, vol. 7(2), pages 151-160, September.
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    Cited by:

    1. Marek Skarupski & Qinhao Wu, 2024. "Confidence bounds for compound Poisson process," Statistical Papers, Springer, vol. 65(8), pages 5351-5377, October.
    2. Bing-Yi Jing & Qiying Wang & Wang Zhou, 2015. "Cramér-Type Moderate Deviation for Studentized Compound Poisson Sum," Journal of Theoretical Probability, Springer, vol. 28(4), pages 1556-1570, December.
    3. O. V. Chernoyarov & A. S. Dabye & F. N. Diop & Y. A. Kutoyants, 2022. "Non asymptotic expansions of the MME in the case of Poisson observations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(8), pages 927-950, November.
    4. Aurelija Kasparavičiūtė & Dovilė Deltuvienė, 2017. "Asymptotic Expansion for the Distribution Density Function of the Compound Poisson Process in Large Deviations," Journal of Theoretical Probability, Springer, vol. 30(4), pages 1655-1676, December.

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