The property catastrophe reinsurance industry faces a major challenge. Since 1989, climatic volatility has produced unprecedented insured losses of $43 billion, $18 billion of which were from Hurricane Andrew alone. A surge of insurer defaults and dramatic changes in capacity and pricing have...

We consider discrete time Hawkes process which is a class of g-functions. The limit theorems for continuous time Hawkes processes are well known and studied by many authors. In this paper, we study the limit theorems for discrete time Hawkes processes. In particular, we obtain the law of large...