ON THE EXPECTED SIZE OF THE PARETO SUBSET OF A RANDOM SET OF POINTS
Rubrics: ARTICLES
Authors:
1.
Emperor Alexander I St. Petersburg State Transport University
2.
Saint Petersburg State University
Type:
Article
Pages:
from 19
to 24
Status:
Published
Received:
11.01.2025
Accepted:
11.01.2025
Published:
11.01.2025
Subject area:
UDK УДК
Language:
Russian
Keywords:
a random set of points, the Pareto set, symmetrically dependent random variables, random permutations, records in a sequence of random variables
Abstract (English):
The article is devoted to an estimation of the expected size of the Pareto set in a finite set of points drawn by symmetrically dependent random variables in Rd. The received estimates are fully analogized to the well-known estimates in the case of independent random variables.
The article is devoted to an estimation of the expected size of the Pareto set in a finite set of points drawn by symmetrically dependent random variables in Rd. The received estimates are fully analogized to the well-known estimates in the case of independent random variables.
Keywords:
a random set of points, the Pareto set, symmetrically dependent random variables, random permutations, records in a sequence of random variables
a random set of points, the Pareto set, symmetrically dependent random variables, random permutations, records in a sequence of random variables
1.
