IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v80y2010i5-6p285-292.html
   My bibliography  Save this article

Complete moment convergence of moving average processes under [phi]-mixing assumptions

Author

Listed:
  • Zhou, Xingcai

Abstract

Let {Yi:-[infinity]

Suggested Citation

  • Zhou, Xingcai, 2010. "Complete moment convergence of moving average processes under [phi]-mixing assumptions," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 285-292, March.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:5-6:p:285-292
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(09)00419-2
    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. Li, Deli & Bhaskara Rao, M. & Wang, Xiangchen, 1992. "Complete convergence of moving average processes," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 111-114, May.
    2. Zhang, Li-Xin, 1996. "Complete convergence of moving average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 30(2), pages 165-170, October.
    3. Kim, Tae-Sung & Ko, Mi-Hwa, 2008. "Complete moment convergence of moving average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 839-846, May.
    4. Burton, Robert M. & Dehling, Herold, 1990. "Large deviations for some weakly dependent random processes," Statistics & Probability Letters, Elsevier, vol. 9(5), pages 397-401, May.
    5. Chen, Pingyan & Hu, Tien-Chung & Volodin, Andrei, 2009. "Limiting behaviour of moving average processes under [phi]-mixing assumption," Statistics & Probability Letters, Elsevier, vol. 79(1), pages 105-111, January.
    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. Chen, Pingyan & Sung, Soo Hak, 2021. "On the Jajte strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 176(C).

    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. Wenzhi Yang & Shuhe Hu & Xuejun Wang, 2012. "Complete Convergence for Moving Average Process of Martingale Differences," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, July.
    2. Liu, Xiangdong & Qian, Hangyong & Cao, Linqiu, 2015. "The Davis–Gut law for moving average processes," Statistics & Probability Letters, Elsevier, vol. 104(C), pages 1-6.
    3. Yun-xia, Li & Li-xin, Zhang, 2004. "Complete moment convergence of moving-average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 70(3), pages 191-197, December.
    4. Yun-Xia, Li, 2006. "Precise asymptotics in complete moment convergence of moving-average processes," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1305-1315, July.
    5. Jong-Il Baek & Sung-Tae Park, 2010. "RETRACTED ARTICLE: Convergence of Weighted Sums for Arrays of Negatively Dependent Random Variables and Its Applications," Journal of Theoretical Probability, Springer, vol. 23(2), pages 362-377, June.
    6. Kim, Tae-Sung & Ko, Mi-Hwa, 2008. "Complete moment convergence of moving average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 839-846, May.
    7. Chen, Pingyan & Hu, Tien-Chung & Volodin, Andrei, 2009. "Limiting behaviour of moving average processes under [phi]-mixing assumption," Statistics & Probability Letters, Elsevier, vol. 79(1), pages 105-111, January.
    8. Sung, Soo Hak, 2009. "A note on the complete convergence of moving average processes," Statistics & Probability Letters, Elsevier, vol. 79(11), pages 1387-1390, June.
    9. Ahmed, S. Ejaz & Antonini, Rita Giuliano & Volodin, Andrei, 2002. "On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes," Statistics & Probability Letters, Elsevier, vol. 58(2), pages 185-194, June.
    10. Zhang, Li-Xin, 1996. "Complete convergence of moving average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 30(2), pages 165-170, October.
    11. Sung, Soo Hak, 1999. "Weak law of large numbers for arrays of random variables," Statistics & Probability Letters, Elsevier, vol. 42(3), pages 293-298, April.
    12. Li, Yongming & Wei, Chengdong & Xing, Guodong, 2011. "Berry-Esseen bounds for wavelet estimator in a regression model with linear process errors," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 103-110, January.
    13. Subhashis Ghosal & Tapas K. Chandra, 1998. "Complete Convergence of Martingale Arrays," Journal of Theoretical Probability, Springer, vol. 11(3), pages 621-631, July.
    14. Son, Ta Cong & Thang, Dang Hung & Dung, Le Van, 2012. "Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1978-1985.
    15. Xin Deng & Xuejun Wang & Yi Wu, 2021. "The Berry–Esseen type bounds of the weighted estimator in a nonparametric model with linear process errors," Statistical Papers, Springer, vol. 62(2), pages 963-984, April.
    16. Berkes, István & Weber, Michel, 2007. "On complete convergence of triangular arrays of independent random variables," Statistics & Probability Letters, Elsevier, vol. 77(10), pages 952-963, June.
    17. Ming Le Guo, 2012. "Complete Moment Convergence of Weighted Sums for Arrays of Rowwise -Mixing Random Variables," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, September.
    18. Nyrhinen, Harri, 1995. "On the typical level crossing time and path," Stochastic Processes and their Applications, Elsevier, vol. 58(1), pages 121-137, July.
    19. Lovas, Attila & Rásonyi, Miklós, 2021. "Markov chains in random environment with applications in queuing theory and machine learning," Stochastic Processes and their Applications, Elsevier, vol. 137(C), pages 294-326.
    20. 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.

    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:80:y:2010:i:5-6:p:285-292. 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.