Standard

On the convergence of generalized moments in almost sure central limit theorem. / Ibragimov, Ildar; Lifshits, Mikhail.

In: Statistics and Probability Letters, Vol. 40, No. 4, 15.11.1998, p. 343-351.

Research output: Contribution to journal › Article › peer-review

Harvard

Ibragimov, I & Lifshits, M 1998, 'On the convergence of generalized moments in almost sure central limit theorem', Statistics and Probability Letters, vol. 40, no. 4, pp. 343-351.

APA

Ibragimov, I., & Lifshits, M. (1998). On the convergence of generalized moments in almost sure central limit theorem. Statistics and Probability Letters, 40(4), 343-351.

Vancouver

Ibragimov I, Lifshits M. On the convergence of generalized moments in almost sure central limit theorem. Statistics and Probability Letters. 1998 Nov 15;40(4):343-351.

Author

Ibragimov, Ildar ; Lifshits, Mikhail. / On the convergence of generalized moments in almost sure central limit theorem. In: Statistics and Probability Letters. 1998 ; Vol. 40, No. 4. pp. 343-351.

BibTeX

@article{a280a70a48db47349e1d4e29989892ec,
title = "On the convergence of generalized moments in almost sure central limit theorem",
abstract = "Let {ζk} be the normalized sums corresponding to a sequence of i.i.d. variables with zero mean and unit variance. Define random measures (formula presented) and let G be the normal distribution. We show that for each continuous function h satisfying ∫ h dG< ∞ and a mild regularity assumption, one has (formula presented)",
keywords = "Almost sure limit theorems, Moments, Strong invariance principle",
author = "Ildar Ibragimov and Mikhail Lifshits",
year = "1998",
month = nov,
day = "15",
language = "English",
volume = "40",
pages = "343--351",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - On the convergence of generalized moments in almost sure central limit theorem

AU - Ibragimov, Ildar

AU - Lifshits, Mikhail

PY - 1998/11/15

Y1 - 1998/11/15

N2 - Let {ζk} be the normalized sums corresponding to a sequence of i.i.d. variables with zero mean and unit variance. Define random measures (formula presented) and let G be the normal distribution. We show that for each continuous function h satisfying ∫ h dG< ∞ and a mild regularity assumption, one has (formula presented)

AB - Let {ζk} be the normalized sums corresponding to a sequence of i.i.d. variables with zero mean and unit variance. Define random measures (formula presented) and let G be the normal distribution. We show that for each continuous function h satisfying ∫ h dG< ∞ and a mild regularity assumption, one has (formula presented)

KW - Almost sure limit theorems

KW - Moments

KW - Strong invariance principle

UR - http://www.scopus.com/inward/record.url?scp=0032533062&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032533062

VL - 40

SP - 343

EP - 351

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 4

ER -

ID: 37011635