학술논문

Random vectors with given arbitrary marginals and given correlation matrix.
Document Type
Journal
Author
Tiĭt, È. AMS Author Profile
Source
Tartu Riikliku Ülikooli Toimetised. Uchenye Zapiski Tartuskogo Gosudarstvennogo Universiteta. Acta et Commentationes Universitatis Tartuensis (Tartu Riikl. Ül. Toimetised) (19860101), No.~733, 14-39.
Subject
62 Statistics -- 62H Multivariate analysis
  62H05 Characterization and structure theory
Language
Russian
Abstract
This paper deals with the construction of a $k$-dimensional distribution $F$ given unequal marginal distribution functions $F_i(x_i)$ and an arbitrary correlation matrix $R$, $i=1,2,\cdots,k$. The author solves the problems of existence and uniqueness of the distribution $F$, as well as the problem of efficient construction of vectors having the distribution $F$ and the simulation of values of vectors with distribution $F$. Some examples are given for illustration.

Online Access