主题词：Statistical Methods and Bayesian Inference; Statistical Distribution Estimation and Applications; Statistical Methods and Inference; Geometric Analysis and Curvature Flows; Advanced Statistical Methods and Models; Bayesian Methods and Mixture Models; Geometry and complex manifolds; Survey Sampling and Estimation Techniques; Face and Expression Recognition; Stochastic processes and financial applications; Financial Risk and Volatility Modeling; COVID-19 epidemiological studies; Economic and Environmental Valuation; Advanced Causal Inference Techniques; Holomorphic and Operator Theory; Probabilistic and Robust Engineering Design; Advanced Combinatorial Mathematics; Stability and Controllability of Differential Equations; Statistical Methods in Clinical Trials; Control Systems and Identification; Quantum Mechanics and Non-Hermitian Physics; Complex Systems and Time Series Analysis; Stock Market Forecasting Methods; Advanced Mathematical Identities; Survey Methodology and Nonresponse