Author:
Swishchuk Anatoliy,Huffman Aiden
Abstract
In this paper, we study various new Hawkes processes. Specifically, we construct general compound Hawkes processes and investigate their properties in limit order books. With regard to these general compound Hawkes processes, we prove a Law of Large Numbers (LLN) and a Functional Central Limit Theorems (FCLT) for several specific variations. We apply several of these FCLTs to limit order books to study the link between price volatility and order flow, where the volatility in mid-price changes is expressed in terms of parameters describing the arrival rates and mid-price process.
Funder
Natural Sciences and Engineering Research Council of Canada
Subject
Strategy and Management,Economics, Econometrics and Finance (miscellaneous),Accounting
Cited by
9 articles.
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