On the functional limits for sums of a function of partial sums

Kamil M. Kosinski

Statistics & Probability Letters, 2009, vol. 79, issue 13, 1522-1527

Abstract: We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial sums of independent and identically distributed random variables. In particular, we show, using a technique presented in Huang and Zhang [Huang, W., Zhang, L.-X., 2007. A note on the invariance principle of the product of sums of random variables. Electron. Comm. Probab. 12, 51-56] that the result from Qi [Qi, Y., 2003. Limit distributions for products of sums. Statist. Probab. Lett. 62, 93-100], for normalised products of partial sums, can be generalised in this fashion to a fclt.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(09)00115-1
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:79:y:2009:i:13:p:1522-1527

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().