scholarly journals Central Limit Theorem, Weak Law of Large Numbers for Martingales in Banach Spaces, and Weak Invariance Principle - A Quantitative Study

1995 ◽  
Vol 52 (1) ◽  
pp. 158-180
Author(s):  
G.A. Anastassiou
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Banach Spaces ◽  
Central Limit ◽  
Quantitative Study ◽  
Invariance Principle ◽  
Law Of Large Numbers ◽  
Weak Invariance Principle ◽  
Weak Invariance ◽  
Large Numbers

scholarly journals The time to absorption in Λ-coalescents

2018 ◽  
Vol 50 (A) ◽  
pp. 177-190
Author(s):  
Götz Kersting ◽  
Anton Wakolbinger
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Counting Process ◽  
Law Of Large Numbers ◽  
Large Numbers

Abstract We present a law of large numbers and a central limit theorem for the time to absorption of Λ-coalescents with dust started from n blocks, as n→∞. The proofs rely on an approximation of the logarithm of the block-counting process by means of a drifted subordinator.

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