CENTRAL LIMIT-THEOREMS FOR SUMS OF WICK PRODUCTS OF STATIONARY-SEQUENCES

被引：6

作者：

AVRAM, F ^{[1
]}

FOX, R ^{[1
]}

机构：

[1] BOSTON COLL,DEPT MATH,CHESTNUT HILL,MA 02167

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 330卷 / 02期

关键词：

POWER COUNTING CONDITIONS; GENERALIZED HOLDER INEQUALITY; GENERALIZED SZEGO THEOREM; BOND MATROID; DIAGRAM FORMULAS;

D O I：

10.2307/2153927

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show, by the method of cumulants, that checking whether the central limit theorem for sums of Wick powers of a stationary sequence holds can be reduced to the study of an associated graph problem (see Corollary 1). We obtain thus central limit theorems under various integrability conditions on the cumulant spectral functions (Theorems 2, 3).

引用

页码：651 / 663

页数：13

共 12 条

[1]

AVRAM F, P AM MATH SOC

[2]

AVRAM F, T AM MATH SOC

[3]

BIXBY R, MATROIDS OPERATIONS

[4] CENTRAL LIMIT-THEOREMS FOR NON-LINEAR FUNCTIONALS OF GAUSSIAN FIELDS [J].