| bibtype |
J -
Journal Article
|
| ARLID |
0506950 |
| utime |
20240103222330.5 |
| mtime |
20190726235959.9 |
| SCOPUS |
84941882338 |
| WOS |
000362310900009 |
| DOI |
10.1214/14-BJPS251 |
| title
(primary) (eng) |
Generalizations of some probability inequalities and L-p convergence of random variables for any monotone measure |
| specification |
| page_count |
19 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0332425 |
| ISSN |
0103-0752 |
| title
|
Brazilian Journal of Probability and Statistics |
| volume_id |
29 |
| volume |
4 (2015) |
| page_num |
878-896 |
|
| keyword |
Capacities |
| keyword |
probability inequalities |
| keyword |
Choquet-like expectation |
| author
(primary) |
| ARLID |
cav_un_auth*0261431 |
| share |
40 |
| name1 |
Agahi |
| name2 |
H. |
| country |
IR |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0283606 |
| share |
30 |
| name1 |
Mohammadpour |
| name2 |
A. |
| country |
IR |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| full_dept |
Department of Econometrics |
| share |
30 |
| name1 |
Mesiar |
| name2 |
Radko |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
This paper has three specific aims. First, some probability inequal-ities, including Hölder’s inequality, Lyapunov’s inequality, Minkowski’s in-equality, concentration inequalities and Fatou’s lemma for Choquet-like ex-pectation based on a monotone measure are shown, extending previous workof many researchers. Second, we generalize some theorems about the con-vergence of sequences of random variables on monotone measure spaces forChoquet-like expectation. Third, we extend the concept of uniform integra-bility for Choquet-like expectation. These results are useful for the solutionof various problems in machine learning and made it possible to derive newefficient algorithms in any monotone system. Corresponding results are validfor capacities, the usefulness of which has been demonstrated by the rapidlyexpanding literature on generalized probability theory. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10103 |
| reportyear |
2020 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0298083 |
| confidential |
S |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
0.392 |
| mrcbT16-s |
0.377 |
| mrcbT16-4 |
Q3 |
| mrcbT16-B |
16.306 |
| mrcbT16-C |
12.602 |
| mrcbT16-D |
Q4 |
| mrcbT16-E |
Q4 |
| arlyear |
2015 |
| mrcbU14 |
84941882338 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000362310900009 WOS |
| mrcbU63 |
cav_un_epca*0332425 Brazilian Journal of Probability and Statistics 0103-0752 0103-0752 Roč. 29 č. 4 2015 878 896 |
|