Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces
AbstractWe obtain the rate of complete convergence for maximums of moving average sums of martingale difference fields in p-uniformly smooth Banach spaces, and extend Marcinkiewicz–Zygmund strong laws. Our results extend the results of Gut and Stadtmüller (2009), Quang and Huan (2009), Dung and Tien (2010) and some other ones.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 82 (2012)
Issue (Month): 11 ()
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gut, Allan & Stadtmüller, Ulrich, 2009. "An asymmetric Marcinkiewicz-Zygmund LLN for random fields," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 1016-1020, April.
- Dung, Le Van & Tien, Nguyen Duy, 2010. "Strong laws of large numbers for random fields in martingale type p Banach spaces," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 756-763, May.
- 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.
- 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.
If references are entirely missing, you can add them using this form.