On the Strong Law of Large Numbers for Linear Combinations of Concomitants

Standard

On the Strong Law of Large Numbers for Linear Combinations of Concomitants. / Dudkina, O. I.; Gribkova, N. V.

In: Vestnik St. Petersburg University: Mathematics, Vol. 53, No. 3, 01.07.2020, p. 282-286.

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

Author

Dudkina, O. I. ; Gribkova, N. V. / On the Strong Law of Large Numbers for Linear Combinations of Concomitants. In: Vestnik St. Petersburg University: Mathematics. 2020 ; Vol. 53, No. 3. pp. 282-286.

BibTeX

@article{2fca677fee8941299739f0e53a705efa,

title = "On the Strong Law of Large Numbers for Linear Combinations of Concomitants",

abstract = "The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed two-dimensional random vectors. The result complements previous work by Yang (1981), Gribkova and Zitikis (2017, 2019). The proof is based on the conditional independence property of concomitants Bhattacharya (1974), the strong law of large numbers for functions of order statistics by van Zwet (1980) is used, classical inequalities apply, including Rosenthal{\textquoteright}s (1970).",

keywords = "concomitants, induced order statistics, linear combinations, strong law of large numbers, concomitants, induced order statistics, linear combinations, strong law of large numbers, ORDER-STATISTICS",

author = "Dudkina, {O. I.} and Gribkova, {N. V.}",

note = "Funding Information: The authors are grateful to two anonymous reviewers for the attention they gave the paper and a number of useful and constructive remarks. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = jul,

day = "1",

doi = "10.1134/S1063454120030061",

language = "Английский",

volume = "53",

pages = "282--286",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - On the Strong Law of Large Numbers for Linear Combinations of Concomitants

AU - Dudkina, O. I.

AU - Gribkova, N. V.

N1 - Funding Information: The authors are grateful to two anonymous reviewers for the attention they gave the paper and a number of useful and constructive remarks. Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed two-dimensional random vectors. The result complements previous work by Yang (1981), Gribkova and Zitikis (2017, 2019). The proof is based on the conditional independence property of concomitants Bhattacharya (1974), the strong law of large numbers for functions of order statistics by van Zwet (1980) is used, classical inequalities apply, including Rosenthal’s (1970).

AB - The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed two-dimensional random vectors. The result complements previous work by Yang (1981), Gribkova and Zitikis (2017, 2019). The proof is based on the conditional independence property of concomitants Bhattacharya (1974), the strong law of large numbers for functions of order statistics by van Zwet (1980) is used, classical inequalities apply, including Rosenthal’s (1970).

KW - concomitants

KW - induced order statistics

KW - linear combinations

KW - strong law of large numbers

KW - concomitants

KW - induced order statistics

KW - linear combinations

KW - strong law of large numbers

KW - ORDER-STATISTICS

UR - http://www.scopus.com/inward/record.url?scp=85090046305&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9fe24023-4a35-3d47-841e-67601a1cc835/

U2 - 10.1134/S1063454120030061

DO - 10.1134/S1063454120030061

M3 - статья

AN - SCOPUS:85090046305

VL - 53

SP - 282

EP - 286

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 69947040