Strong Limit Theorems in Non-Commutative Probability

1985 ◽  
Author(s):  
Ryszard Jajte
Keyword(s):  
Limit Theorems ◽  
Strong Limit

scholarly journals Strong Limit Theorems

1992 ◽  
Author(s):  
Zhengyan Lin ◽  
Chuanrong Lu
Keyword(s):  
Limit Theorems ◽  
Strong Limit

The Erdős–Rényi Law and Strong Limit Theorems of Probability

2021 ◽  
Vol 58 (2) ◽  
pp. 263-273
Author(s):  
Andrei N. Frolov
Keyword(s):  
Limit Theorems ◽  
Law Of Large Numbers ◽  
Strong Limit ◽  
Large Numbers ◽  
Famous Paper

Fifty years ago P. Erdős and A. Rényi published their famous paper on the new law of large numbers. In this survey, we describe numerous results and achievements which are related with this paper or motivated by it during these years.

A note on strong limit theorems for arbitrary stochastic sequences

2008 ◽  
Vol 78 (14) ◽  
pp. 2018-2023 ◽  
Author(s):  
Weiguo Yang ◽  
Xue Yang
Keyword(s):  
Limit Theorems ◽  
Strong Limit

Estimation of transition probabilities in a multiparticle semi-Markov system

1976 ◽  
Vol 13 (4) ◽  
pp. 696-706 ◽  
Author(s):  
David Burman
Keyword(s):  
Markov Process ◽  
Time Distribution ◽  
Limit Theorems ◽  
Transition Probabilities ◽  
Strong Limit ◽  
Stieltjes Transform ◽  
Markov System ◽  
Sample Paths ◽  
Finite State ◽  
Semi Markov Process

Particles enter a finite-state system and move according to independent sample paths from a semi-Markov process. Strong limit theorems are developed for the ratio of the flow of particles from states i to j and the flow out of When the cumulative arrival of particles into the system up to time t, A (t) ∼ λtα, then a.s. When A (t)∼ λekt, then the flow between states must be normalized by the Laplace–Stieltjes transform of the conditional holding time distribution, in order to make the ratio an unbiased estimator of ρij.

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