scholarly journals A note on the Lindeberg condition for convergence to stable laws in Mallows distance

Bernoulli ◽  
2009 ◽  
Vol 15 (3) ◽  
pp. 922-924 ◽  
Author(s):  
Euro G. Barbosa ◽  
Chang C.Y. Dorea
Keyword(s):  
Stable Laws ◽  
Lindeberg Condition ◽  
Mallows Distance

scholarly journals Central limit theorem and convergence to stable laws in Mallows distance

Bernoulli ◽  
2005 ◽  
Vol 11 (5) ◽  
pp. 829-845 ◽  
Author(s):  
Oliver Johnson ◽  
Richard Samworth
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Stable Laws ◽  
Mallows Distance

Conditions for equivalence between Mallows distance and convergence to stable laws

2011 ◽  
Vol 134 (1-2) ◽  
pp. 1-11 ◽  
Author(s):  
Chang C. Y. Dorea ◽  
Debora B. Ferreira
Keyword(s):  
Stable Laws ◽  
Mallows Distance

VICTORIA transform, RESPECT and REFORM methods for the proof of the G-Elliptic Law under G-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices

2020 ◽  
Vol 28 (2) ◽  
pp. 131-162
Author(s):  
Vyacheslav L. Girko
Keyword(s):  
Random Matrices ◽  
Random Matrix ◽  
Lindeberg Condition

AbstractThe G-Elliptic law under the G-Lindeberg condition for the independent pairs of the entries of a random matrix is proven.

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.

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