Strong and conditional invariance principles for samples attracted to stable laws

1997 ◽  
Vol 108 (2) ◽  
pp. 281-298 ◽  
Author(s):  
Raoul LePage ◽  
Krzysztof Podgórski ◽  
Michał Ryznar
Keyword(s):  
Stable Laws ◽  
Invariance Principles ◽  
Conditional Invariance

scholarly journals Pressure Function and Limit Theorems for Almost Anosov Flows

2021 ◽  
Vol 382 (1) ◽  
pp. 1-47
Author(s):  
Henk Bruin ◽  
Dalia Terhesiu ◽  
Mike Todd
Keyword(s):  
Thermodynamic Properties ◽  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems ◽  
Stable Laws ◽  
Analytic Framework ◽  
Pressure Function ◽  
Hyperbolic Flows ◽  
Anosov Flows ◽  
Almost Anosov

AbstractWe obtain limit theorems (Stable Laws and Central Limit Theorems, both standard and non-standard) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The link between the pressure function and limit theorems is studied in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows.

scholarly journals Invariance Principles for Parabolic Equations with Random Coefficients

1997 ◽  
Vol 149 (2) ◽  
pp. 377-414 ◽  
Author(s):  
Donald A. Dawson ◽  
Michael A. Kouritzin
Keyword(s):  
Parabolic Equations ◽  
Random Coefficients ◽  
Invariance Principles

scholarly journals Invariance principles for changepoint problems

1988 ◽  
Vol 27 (1) ◽  
pp. 151-168 ◽  
Author(s):  
Miklós Csörgő ◽  
Lajos Horváth
Keyword(s):  
Invariance Principles
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