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Moderate deviations for some weakly dependent random processes

Author

Listed:
  • Jiang, Tiefeng
  • Wang, Xiangchen
  • Rao, M. Bhaskara

Abstract

In this paper we compute moderate deviations for two classes of weakly dependent processes, namely, moving averages of independent identically distributed random variables and Poisson center cluster random measures.

Suggested Citation

  • Jiang, Tiefeng & Wang, Xiangchen & Rao, M. Bhaskara, 1992. "Moderate deviations for some weakly dependent random processes," Statistics & Probability Letters, Elsevier, vol. 15(1), pages 71-76, September.
    • Handle: RePEc:eee:stapro:v:15:y:1992:i:1:p:71-76
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    Citations

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    Cited by:

    1. Jiang, Tiefeng & Rao, M. Bhaskara & Wang, Xiangchen, 1995. "Large deviations for moving average processes," Stochastic Processes and their Applications, Elsevier, vol. 59(2), pages 309-320, October.
    2. Federico Camerlenghi & Claudio Macci & Elena Villa, 2021. "Asymptotic behavior of mean density estimators based on a single observation: the Boolean model case," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(5), pages 1011-1035, October.
    3. Dong, Zhi-shan & Xi-li, Tan & Yang, Xiao-yun, 2005. "Moderate deviation principles for moving average processes of real stationary sequences," Statistics & Probability Letters, Elsevier, vol. 74(2), pages 139-150, September.
    4. Ghosh, Souvik & Samorodnitsky, Gennady, 2009. "The effect of memory on functional large deviations of infinite moving average processes," Stochastic Processes and their Applications, Elsevier, vol. 119(2), pages 534-561, February.

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