BANG-BANG REPRESENTATION FOR 3 X 3 EMBEDDABLE STOCHASTIC MATRICES

被引：14

作者：

JOHANSEN, S ^{[1
]}

RAMSEY, FL ^{[1
]}

机构：

[1] OREGON STATE UNIV,DEPT STAT,CORVALLIS,OR 97331

来源：

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1979年 / 47卷 / 01期

关键词：

D O I：

10.1007/BF00533254

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

It is proved that a 3×3 embeddable stochastic matrix has a representation as a product of a finite number of elementary stochastic matrices, with only one off-diagonal element positive. In particular if the determinant is ≧1/2 then only 6 matrices are needed and a necessary and sufficient condition for embeddability in this case is given. © 1979 Springer-Verlag.

引用

页码：107 / 118

页数：12

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