Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Algorithmic and High-Frequency Trading Problems for Semi-Markov and Hawkes Jump-Diffusion Models

This paper introduces a jump-diffusion pricing model specifically designed for algorithmic trading and high-frequency trading (HFT). The model incorporates independent jump and diffusion processes, providing a more precise representation of the limit order book (LOB) dynamics within a scaling-limit

Holy Grail Math 8 Rigor 6.5 ·  September 19, 2024

Variance-Hawkes Process and its Application to Energy Markets

We define a new model using a Hawkes process as a subordinator in a standard Brownian motion. We demonstrate that this Hawkes subordinated Brownian motion or more succinctly, variance-Hawkes process can be fit to 2018 and 2019 natural gas and crude oil front-month futures log returns. This variance-

Holy Grail Math 7 Rigor 5.5 ·  October 10, 2024

Self-Exciting Random Evolutions (SEREs) and their Applications (Version 2)

This paper is devoted to the study of a new class of random evolutions (RE), so-called self-exciting random evolutions (SEREs), and their applications. We also introduce a new random process $x(t)$ such that it is based on a superposition of a Markov chain $x_n$ and a Hawkes process $N(t),$ i.e., $x

Lab Rats Math 8.5 Rigor 1.5 ·  December 13, 2024

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