IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v79y2009i7p884-888.html
   My bibliography  Save this article

The Hjek-Rnyi-type inequality for associated random variables

Author

Listed:
  • Hu, Shuhe
  • Wang, Xuejun
  • Yang, Wenzhi
  • Zhao, Ting

Abstract

A Hjek-Rnyi-type inequality for associated random variables was obtained by Prakasa Rao [Prakasa Rao, B.L.S., 2002. Hjek-Rnyi-type inequality for associated sequences. Statist. Probab. Lett. 57, 139-143]. Recently, Sung [Sung, H.S., 2008. A note on the Hjek-Rnyi inequality for associated random variables. Statist. Probab. Lett. 78, 885-889] improved the inequality of Prakasa Rao in the above-mentioned reference. In the paper, we use different methods from Sung's and improve the results of Sung in the second reference cited above.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:stapro:v:79:y:2009:i:7:p:884-888
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00530-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Sung, Soo Hak, 2008. "A note on the Hájek-Rényi inequality for associated random variables," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 885-889, May.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Xinghui & Wang, Xuejun, 2013. "Some inequalities for conditional demimartingales and conditional N-demimartingales," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 700-709.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    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. 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.
    5. Christofides, Tasos C. & Hadjikyriakou, Milto, 2012. "Maximal and moment inequalities for demimartingales and N-demimartingales," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 683-691.
    6. Wang, Xuejun & Hu, Shuhe & Shen, Yan & Ling, Nengxiang, 2008. "Strong law of large numbers and growth rate for a class of random variable sequences," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3330-3337, December.
    7. 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.
    8. Wang, Jianfeng, 2004. "Maximal inequalities for associated random variables and demimartingales," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 347-354, February.
    9. Wang, Xinghui & Wang, Xuejun, 2013. "Some inequalities for conditional demimartingales and conditional N-demimartingales," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 700-709.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:79:y:2009:i:7:p:884-888. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.