主题词：Stochastic processes and statistical mechanics; Probability and Risk Models; Advanced Queuing Theory Analysis; Stochastic processes and financial applications; Bayesian Methods and Mixture Models; Markov Chains and Monte Carlo Methods; Statistical Distribution Estimation and Applications; Random Matrices and Applications; Financial Risk and Volatility Modeling; Reliability and Maintenance Optimization; Point processes and geometric inequalities; Theoretical and Computational Physics; Mathematical and Theoretical Epidemiology and Ecology Models; Diffusion and Search Dynamics; Mathematical Dynamics and Fractals; Statistical Methods and Inference; Insurance, Mortality, Demography, Risk Management; Diverse Scientific and Economic Studies; Simulation Techniques and Applications; Optimization and Search Problems; Evolution and Genetic Dynamics; Complex Network Analysis Techniques; Probabilistic and Robust Engineering Design; Complex Systems and Time Series Analysis; advanced mathematical theories