scholarly journals Central limit theorems for a supercritical branching process in a random environment

2011 ◽  
Vol 81 (5) ◽  
pp. 539-547 ◽  
Author(s):  
Hesong Wang ◽  
Zhiqiang Gao ◽  
Quansheng Liu
Keyword(s):  
Central Limit ◽  
Random Environment ◽  
Limit Theorems ◽  
Branching Process ◽  
Central Limit Theorems

A note on the multitype Markov branching process

1989 ◽  
Vol 26 (3) ◽  
pp. 631-636 ◽  
Author(s):  
V. G. Gadag
Keyword(s):  
Central Limit ◽  
Limit Theorems ◽  
Branching Process ◽  
Central Limit Theorems ◽  
Asymptotic Results ◽  
Original Process ◽  
Markov Branching Process ◽  
Lines Of Descent ◽  
Branching Property

We consider a supercritical, p-dimensional Markov branching process (MBP). Based on the finite and the infinite lines of descent of particles of this p-dimensional MBP, we construct an associated 2p-dimensional process. We show that such a process is a 2p-dimensional, supercritical MBP. This 2p-dimensional process retains the branching property when conditioned on the sets of extinction and non-extinction. Asymptotic results and central limit theorems for the associated process and the original process are established by using the results of Gadag and Rajarshi (1987).

A note on the multitype Markov branching process

1989 ◽  
Vol 26 (03) ◽  
pp. 631-636
Author(s):  
V. G. Gadag
Keyword(s):  
Central Limit ◽  
Limit Theorems ◽  
Branching Process ◽  
Central Limit Theorems ◽  
Asymptotic Results ◽  
Original Process ◽  
Markov Branching Process ◽  
Lines Of Descent ◽  
Branching Property

We consider a supercritical, p-dimensional Markov branching process (MBP). Based on the finite and the infinite lines of descent of particles of this p-dimensional MBP, we construct an associated 2p-dimensional process. We show that such a process is a 2p-dimensional, supercritical MBP. This 2p-dimensional process retains the branching property when conditioned on the sets of extinction and non-extinction. Asymptotic results and central limit theorems for the associated process and the original process are established by using the results of Gadag and Rajarshi (1987).

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 Central limit theorems for supercritical superprocesses

2015 ◽  
Vol 125 (2) ◽  
pp. 428-457 ◽  
Author(s):  
Yan-Xia Ren ◽  
Renming Song ◽  
Rui Zhang
Keyword(s):  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems
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