This paper extends the optimal investment control framework by incorporating fractional Brownian motion to capture long-range dependence and memory effects in asset prices. Replacing the standard Brownian component with a fractional Brownian motion governed by the Hurst parameter H with H∈(1/2,1), we employ the Wick–It...
A hierarchical Ornstein–Uhlenbeck stochastic differential equation with event-conditional drift is fitted to monthly text-derived affect trajectories from a self-disclosure-rich Reddit subreddit (2023–2024; 254,153 users, 324,548 user-months), with the death of a close family member as the adverse life event. Event dat...
I. Naskinova, Mariyan Milev, Nikolay Netov et al.· Wseas Transactions on Busine...· 0 citations
A hierarchical Ornstein–Uhlenbeck stochastic differential equation with event-conditional drift for latent-state dynamics around life events detected in text and establishes existence and uniqueness of strong solutions, identifiability of the population-level parameters under sparse panel observation, and a posterior-b...
I. Naskinova, Mariyan Milev, Nikolay Netov et al.· Wseas Transactions on Busine...· 0 citations
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