Functional law of iterated logarithm for normalized integrals of processes with weak dependence
For normalized integrals of processes with weak dependence, we prove the law of iterated logarithm in the Strassen form. The results obtained are used for the construction of a curvilinear confidence region in which a solution of an equation with small parameter is sought.
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5022 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792207569551360 |
|---|---|
| author | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. |
| author_facet | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. |
| author_institution_txt_mv | [
{
"author": "Б. В. Бондарев",
"institution": null
},
{
"author": "М. Е. Королев",
"institution": null
}
] |
| author_sort | Bondarev, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:18Z |
| description | For normalized integrals of processes with weak dependence, we prove the law of iterated logarithm in the Strassen form. The results obtained are used for the construction of a curvilinear confidence region in which a solution of an equation with small parameter is sought. |
| first_indexed | 2026-03-24T03:09:24Z |
| format | Article |
| fulltext |
0016
0017
0018
0019
0020
0021
0022
0023
0024
0025
|
| id | umjimathkievua-article-5022 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:09:24Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8a/f7f2c8d98f2d5698c02b227308aead8a.pdf |
| spelling | umjimathkievua-article-50222020-03-18T21:23:18Z Functional law of iterated logarithm for normalized integrals of processes with weak dependence Функциональный закон повторного логарифма для нормированных интегралов от процессов со слабой зависимостью Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. For normalized integrals of processes with weak dependence, we prove the law of iterated logarithm in the Strassen form. The results obtained are used for the construction of a curvilinear confidence region in which a solution of an equation with small parameter is sought. Для нормованих інтегралів від процесів із слабкою залежністю доведено закон повторного логарифму у формі Штрассепа. Одержані результати застосовано при побудові криволінійної довірчої області, в якій буде знаходитись розв'язок рівняння з малим параметром. Institute of Mathematics, NAS of Ukraine 1997-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5022 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 4 (1997); 490–499 Український математичний журнал; Том 49 № 4 (1997); 490–499 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5022/6743 https://umj.imath.kiev.ua/index.php/umj/article/view/5022/6744 Copyright (c) 1997 Bondarev B. V.; Korolev M. E. |
| spellingShingle | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title | Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title_alt | Функциональный закон повторного логарифма для нормированных интегралов от процессов со слабой зависимостью |
| title_full | Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title_fullStr | Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title_full_unstemmed | Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title_short | Functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| title_sort | functional law of iterated logarithm for normalized integrals of processes with weak dependence |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5022 |
| work_keys_str_mv | AT bondarevbv functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT korolevme functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT bondarevbv functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT korolevme functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT bondarevbv functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT korolevme functionallawofiteratedlogarithmfornormalizedintegralsofprocesseswithweakdependence AT bondarevbv funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû AT korolevme funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû AT bondarevbv funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû AT korolevme funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû AT bondarevbv funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû AT korolevme funkcionalʹnyjzakonpovtornogologarifmadlânormirovannyhintegralovotprocessovsoslabojzavisimostʹû |