scholarly journals Large deviations for combinatorial distributions. I. Central limit theorems

1996 ◽  
Vol 6 (1) ◽  
pp. 297-319 ◽  
Author(s):  
Hsien-Kuei Hwang
Keyword(s):  
Large Deviations ◽  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems

scholarly journals Rates of Convergence in Laplace’s Integrals and Sums and Conditional Central Limit Theorems

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 479
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Large Deviations ◽  
Central Limit ◽  
Limit Theorems ◽  
Rates Of Convergence ◽  
Central Limit Theorems ◽  
Error Terms

We obtained the exact estimates for the error terms in Laplace’s integrals and sums implying the corresponding estimates for the related laws of large number and central limit theorems including the large deviations approximation.

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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