The law of large numbers and the central limit theorem for the jordan normal form of large triangular matrices over a finite field

1999 ◽  
Vol 96 (5) ◽  
pp. 3455-3471 ◽  
Author(s):  
A. M. Borodin
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Normal Form ◽  
Finite Field ◽  
Central Limit ◽  
Law Of Large Numbers ◽  
Jordan Normal Form ◽  
Triangular Matrices ◽  
The Central Limit Theorem ◽  
Large Numbers

The Law of Large Numbers and the Central Limit Theorem

1996 ◽  
pp. 92-96
Author(s):  
Richard L. Scheaffer ◽  
Ann Watkins ◽  
Mrudulla Gnanadesikan ◽  
Jeffrey A. Witmer
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Law Of Large Numbers ◽  
The Central Limit Theorem ◽  
Large Numbers ◽  
The Law

Central Limit Theorem for Time to Broadcast in Radio Networks

1995 ◽  
Vol 9 (2) ◽  
pp. 201-209 ◽  
Author(s):  
Krishnamurthi Ravishankar ◽  
Suresh Singh
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Law Of Large Numbers ◽  
Radio Networks ◽  
The Other ◽  
The Central Limit Theorem ◽  
Large Numbers ◽  
Constant Radius ◽  
Radio Transmitters

We study the problem of broadcasting in a system where nodes are equipped with radio transmitters with constant radius of transmission. A message originating at a node has to be transmitted to all the other nodes in the system. We prove the central limit theorem and the law of large numbers for the number of time steps required to complete a broadcast for the case when the nodes are placed on a line independently uniformly distributed. We show that the number of time steps required to broadcast is 3n/4 in probability.

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