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On extending the Brunk-Prokhorov strong law of large numbers for martingale differences

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  • Hu, Shuhe
  • Chen, Guijing
  • Wang, Xuejun

Abstract

We extend the Brunk-Prokhorov strong law of large numbers and obtain a strong growth rate for martingale differences. Some results for demimartingales are also given.

Suggested Citation

  • Hu, Shuhe & Chen, Guijing & Wang, Xuejun, 2008. "On extending the Brunk-Prokhorov strong law of large numbers for martingale differences," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3187-3194, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:18:p:3187-3194
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    References listed on IDEAS

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    1. Christofides, Tasos C., 2000. "Maximal inequalities for demimartingales and a strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 357-363, December.
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    Cited by:

    1. Son, Ta Cong & Thang, Dang Hung, 2013. "The Brunk–Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space," Statistics & Probability Letters, Elsevier, vol. 83(8), pages 1901-1910.
    2. Hu, Shuhe & Wang, Xuejun & Yang, Wenzhi & Zhao, Ting, 2009. "The Hjek-Rnyi-type inequality for associated random variables," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 884-888, April.
    3. Feng, Decheng & Zhang, Xiaomei, 2023. "Maximal inequalities and the strong law of large numbers for strong demimartingales," Statistics & Probability Letters, Elsevier, vol. 193(C).
    4. Wang, Xuejun & Hu, Shuhe & Prakasa Rao, B.L.S. & Yang, Wenzhi, 2011. "Maximal inequalities for N-demimartingale and strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1348-1353, September.
    5. Hu, Shuhe & Wang, Xinghui & Yang, Wenzhi & Wang, Xuejun, 2012. "Some inequalities for demimartingales and N-demimartingales," Statistics & Probability Letters, Elsevier, vol. 82(2), pages 232-239.

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