THE EXISTENCE AND UNIQUENESS OF CONDITIONAL EXPECTATION FOR INTEGRANDS WITH EXTENDED REAL VALUES THROUGH MINIMAL ASSUMPTIONS

被引：0

作者：

Slime, Mekdad ^{[1
]}

El Kamli, Mohammed

Khal, Abdellah Ould ^{[1
,2
]}

机构：

[1] Mohammed V Univ, Fac Sci, Lab Math Stat & Applicat, BP 1014, Rabat, Morocco

[2] Fac Sci Econ Jurid & Social Souissi, Lab Econ Anal & Modelling LEAM, BP 1014, Rabat, Morocco

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 15卷 / 03期

关键词：

Probability; integrand; conditional expectation; vector integrand; P-discrete topology; discrete convergence;

D O I：

10.54671/BMAA-2023-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

EVSTIGNEEV initially conceived the concept of establishing the existence and uniqueness of conditional expectation for integrands with ex-tended real values. The present paper introduces a distinctive perspective by establishing the existence and uniqueness of the conditional expectation under minimal assumptions and without imposing a priori regularity conditions on the integrands, in contrast to previous works.

引用

页码：29 / 40

页数：12

共 2 条

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