主题词：Stochastic processes and financial applications; advanced mathematical theories; Probability and Risk Models; Stochastic processes and statistical mechanics; Bayesian Methods and Mixture Models; Mathematical Dynamics and Fractals; Advanced Statistical Methods and Models; Statistical Methods and Inference; Mathematical Approximation and Integration; Financial Risk and Volatility Modeling; Probability and Statistical Research; Aquatic and Environmental Studies; Statistical Distribution Estimation and Applications; Random Matrices and Applications; Markov Chains and Monte Carlo Methods; Analysis of environmental and stochastic processes; Advanced Computational Techniques in Science and Engineering; Advanced Mathematical Modeling in Engineering; Advanced Queuing Theory Analysis; Theoretical and Computational Physics; Advanced Statistical Process Monitoring; Mathematical Control Systems and Analysis; Differential Equations and Boundary Problems; Simulation Techniques and Applications; Advanced Banach Space Theory