From Laws of Large Numbers to Large Deviation Principles

N. O'Connell

1997, v.3, №4, 589-596


In this paper we present a series of examples to demonstrate the potential of using parameterised weak laws of large numbers to determine the associated large deviation rate functions. Applications include Stirling number asymptotics and random graphs.

Keywords: large deviations,Stirling numbers,random graph,giant component,connectivity,isolated subgraphs


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