An infinite matrix is said to be doubly substochastic if it has nonnegative components and each row and each column sum is at most 1. Let x and y be two real sequences which converge to 0 or which are absolutely summable. This paper introduces necessary and sufficient conditions for existence of an infinite doubly substochastic matrix A such that x=Ay concerning partial order and convex hull for sequences.
|Number of pages||10|
|Journal||Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete|
|Publication status||Published - 1982 Mar 1|
ASJC Scopus subject areas
- Statistics and Probability