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math.PR2025
Stochastic volatility model with long memory for water quantity-quality dynamics
Hidekazu Yoshioka, Yumi Yoshioka
Water quantity and quality are vital indices for assessing fluvial environments. These indices are highly variable over time and include sub-exponential memory, where the influence…
math.PR2025
Non-Markovian superposition process model for stochastically describing concentration-discharge relationship
Hidekazu Yoshioka, Yumi Yoshioka
Concentration-discharge relationship is crucial in river hydrology, as it reflects water quality dynamics across both low- and high-flow regimes. However, its mathematical descript…