Compact convergence of σ-fields and relaxed conditional expectation

2001 ◽  
Vol 120 (3) ◽  
pp. 369-394 ◽  
Author(s):  
Zvi Artstein
Keyword(s):  
Conditional Expectation ◽  
Compact Convergence

scholarly journals Some conditional expectation identities for the multivariate normal

2010 ◽  
Vol 101 (9) ◽  
pp. 2250-2253 ◽  
Author(s):  
Christopher S. Withers ◽  
Saralees Nadarajah
Keyword(s):  
Conditional Expectation ◽  
Multivariate Normal

scholarly journals Topologies between compact and uniform convergence on function spaces

1993 ◽  
Vol 16 (1) ◽  
pp. 101-109 ◽  
Author(s):  
S. Kundu ◽  
R. A. McCoy
Keyword(s):  
Uniform Convergence ◽  
Function Spaces ◽  
Tychonoff Space ◽  
Compact Convergence

This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff space which lie between the topologies of compact convergence and uniform convergence.

Expect the Unexpected from Conditional Expectation

1998 ◽  
Vol 52 (3) ◽  
pp. 248 ◽  
Author(s):  
Michael A. Proschan ◽  
Brett Presnell
Keyword(s):  
Conditional Expectation

Quadratic transformations: a model for population growth. II

1970 ◽  
Vol 2 (02) ◽  
pp. 179-228 ◽  
Author(s):  
Harry Kesten
Keyword(s):  
Population Growth ◽  
Convergence Theorem ◽  
Conditional Expectation ◽  
High Probability ◽  
Random Variables ◽  
Convergence Results ◽  
General Convergence

In this last part theFn(i) andMn(i) are considered as random variables whose distributions are described by the model and various mating rules of Section 2. Several convergence results will be proved for those specific mating rules, but we begin with the more general convergence theorem 6.1. The proof of this theorem brings out the basic idea of this section, namely that whenFnandMnare large,Fn + 1(i) andMn + 1(i) will, with high probability, be close to a certain function ofFn(·) andMn(·) (roughly the conditional expectation ofFn+1(i) andMn + 1(i) givenFn(·) andMn(·)).

scholarly journals Inclusions of ternary rings of operators and conditional expectations

2013 ◽  
Vol 155 (3) ◽  
pp. 475-482 ◽  
Author(s):  
PEKKA SALMI ◽  
ADAM SKALSKI
Keyword(s):  
Conditional Expectation ◽  
Ternary Ring ◽  
Conditional Expectations

AbstractIt is shown that if T is a ternary ring of operators (TRO), X is a nondegenerate sub-TRO of T and there exists a contractive idempotent surjective map P: T → X then P has a unique, explicitly described extension to a conditional expectation between the associated linking algebras. A version of the result for W*-TROs is also presented and some applications mentioned.

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