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DISCIPLINE 04Veritas in Empirical Discovery· CFSBR CURRICULUM

Applied Quantitative Methods & Statistics

Statistical inference, Bayesian modeling, causal discovery, and empirical analytics.

Devoted to empirical discovery and probabilistic reasoning across economics, social sciences, and engineering. We publish works exploring both frequentist asymptotic foundations and modern Bayesian computational workflows.
CURRICULUM BREAKDOWN4 CORE SUB-TOPICS

Core Sub-topics & Research Themes

04.1THEME

Bayesian Computational Inference & MCMC

Gibbs sampling, Hamiltonian Monte Carlo (HMC), No-U-Turn Sampler (NUTS), prior elicitation, and posterior predictive checking.

HMC / NUTSPosterior DiagnosticsConjugate PriorsWAIC / LOO-CV
04.2THEME

Causal Inference & Instrumental Variables

Potential outcomes framework, directed acyclic graphs (DAGs), difference-in-differences (DiD), synthetic controls, and regression discontinuity.

Potential OutcomesDo-Calculus DAGsSynthetic ControlsInstrumental Variables
04.3THEME

High-Dimensional Statistics & Regularization

Lasso, Ridge, Elastic Net, sparse PCA, false discovery rate (FDR) control, and non-parametric smoothing.

Lasso RegularizationBenjamini-Hochberg FDRKernel Ridge RegressionSparsity Bounds
04.4THEME

Operations Research & Stochastic Decision Systems

Integer linear programming, queuing networks, Markov decision processes (MDP), and multi-criteria optimization.

Simplex & Branch-and-BoundQueuing TheoryBellman EquationsMulti-Attribute Utility
METHODOLOGICAL RIGORTECHNIQUES & TOOLS

Mathematical & Applied Methodologies

Probabilistic Programming Languages

Formulation and sampling of hierarchical and non-linear latent variable models.

Frameworks & Environments
StanPyMCTuring.jlR brms

Empirical Validation & Cross-Validation

Rigorous guarding against overfitting, survivorship bias, and data snooping.

Frameworks & Environments
K-Fold CVOut-of-Time TestingBootstrap Resampling
PUBLICATIONSACTIVE EDITIONS

Monographs & Publications in this Field

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AP-2026-QNT-001Forthcoming

Empirical Inference & Quantitative Statistical Systems

CFSBR Quantitative Monograph · Series 04

Authors / Editorial Board: CFSBR Statistical Research Group

Key Highlights
  • Bayesian computational inference & MCMC methods
  • High-dimensional statistical estimation
  • Empirical validation across econometric datasets
২৯০ পৃষ্ঠা (হার্ডবাউন্ড / ডিজিটাল)View on Bookshelf →
FOR RESEARCHERS & MONOGRAPH AUTHORS

Publishing in this Discipline

We welcome monograph and course-text proposals within this discipline. Every volume undergoes structural peer appraisal, code verification, and custom typographic design.

STANDARD 01Rigorous reporting of confidence/credible intervals and effect sizes, not bare p-values.
STANDARD 02Clear visual storytelling through calibrated density plots, regression planes, and residual diagnostics.
STANDARD 03Replication packages including raw tabular data and reproducible calculation scripts.