Research Hub
Rigorous mathematical analysis, stochastic simulation models, and probability theory applied to Esports Betting & Competitive Probability Analytics.
Research Pillars & Knowledge Clusters
Elo & Glicko-2 Rating Models for Competitive Esports
Quantitative investigation of team strength measurement through Elo/Glicko-2 rating systems calibrated for roster volatility and cross-regional transfers in CS2 and Dota 2.
Map-Based Win Probability & Veto Strategy Models
Conditional probability analysis of Bo3/Bo5 series outcomes based on team-specific map win rates, veto game theory, and map pool depth quantification.
Live Odds & Momentum Models for Round-by-Round Betting
Dynamic probability updates during live CS2 matches: pistol round cascades, economy system mathematics, CT/T side asymmetry, and comeback probability quantification.
Player Impact Rating & Fantasy Prop Models
Multi-dimensional player performance decomposition: ADR, KAST%, Rating 2.0, clutch rate normalization across roles (AWPer, Entry, IGL) with form vs peak regression analysis.
Elo & Glicko-2 Rating Models for Competitive Esports: Dynamic Skill Estimation and Mathematical Calibration
A comprehensive mathematical investigation into Elo and Glicko-2 rating systems for professional esports. Deconstructing latent skill vectors, epistemic uncertainty (RD), volatility tracking, empirical benchmarking across 50,000 matches, and Expected Value (+EV) derivations for CS2 and Dota 2.
Elo vs Glicko-2 in Competitive Esports: Empirical Benchmarking, Brier Scores, and Predictive Calibration
A deep empirical comparison of Elo and Glicko-2 rating systems across 52,480 professional CS2 and Dota 2 matches. Benchmarking Brier Scores (0.1874 vs 0.2142), cross-entropy Log-Loss, dynamic RD attenuation, and +EV betting performance under tournament volatility.
Roster Change Rating Adjustments: Modeling Stand-ins, Role Weights, and Multi-Agent Synergy
A mathematical framework for modeling competitive esports roster changes and emergency stand-ins. Deconstructs positional role weights (IGL vs AWPer), the non-linear multi-agent synergy coefficient S, epistemic entropy jumps in Rating Deviation, and empirical +EV betting strategies across 2,400 roster events.
Cross-Region Rating Transfer: The Island Effect, Sparse LAN Bridges, and Hierarchical Bayesian Shrinkage
A quantitative investigation into geographic rating drift and the Island Effect across competitive CS2 and Dota 2 circuits. Formulating inter-regional exchange rates via spectral graph theory, LAN bridge calibration, Hierarchical Bayesian Shrinkage, and empirical +EV betting execution across 1,850 international matches.
Rating Decay for Inactive Teams: Glicko-2 Time-Decay and Patch Meta-Shock Multipliers
A quantitative modeling guide on competitive dormancy, tactical rust, and developer patch shocks in CS2 and Dota 2. Formulating continuous uncertainty diffusion via Glicko-2 time-decay, patch volatility multipliers M_patch, and empirical +EV betting strategies across 1,120 post-hiatus matches.
Map-Based Win Probability & Veto Strategy: Conditional Probability, Bayesian Smoothing, and Monte Carlo Modeling in CS2
A comprehensive quantitative framework for modeling competitive CS2 match outcomes at the map level. Deconstructing seven-dimensional map vectors, Beta-Binomial Bayesian smoothing, analytical BO3/BO5 probability trees, 100,000-trial Monte Carlo simulations, and empirical +EV betting execution across 45,000 matches.
Bo3 vs Bo5 Series Mathematics: Combinatorial Variance, Underdog Compression, and Map Total Distributions
A rigorous mathematical analysis of match length dynamics in competitive CS2 and Dota 2. Examining binomial compounding, underdog compression curves, non-identical sequential Markov series expansions, physical fatigue penalties, and empirical +EV betting execution across 1,440 professional matches.
Map Pool Depth Metric (MPD): Information-Theoretic Entropy, Structural Vulnerability, and Handicap Pricing
A mathematical framework for measuring competitive map pool versatility in CS2 and hero drafting depth in Dota 2. Formulating the Map Pool Depth Index (MPDI) via Shannon information entropy, Herfindahl-Hirschman concentration indexes, BO5 Grand Final forced flank exposure, and empirical +EV betting execution across 850 team seasons.
Veto Strategy Optimization: Minimax Trees, Nash Equilibria, and Zero-Sum Payoff Matrices in CS2
A game-theoretic framework for modeling the Counter-Strike 2 map veto phase. Formulating extensive-form zero-sum games, backward induction minimax algorithms, Nash equilibrium payoff matrices, first-mover vs decider-ban asymmetries, and empirical +EV betting execution across 2,100 professional matches.
Permaban Analysis & Map Leakage: The 18.4% Win Rate Trap, Opponent Exploitation, and Correct Score Angles in CS2
A quantitative investigation into permaban leakage and preparation voids in competitive CS2 and hero pool drafts in Dota 2. Examining the 18.4% LAN win rate trap, the Game of Chicken payoff matrix during double-permaban conflicts, blowout round handicaps, and empirical +EV betting execution across 340 LAN maps.
Live Odds & Momentum Models: Real-Time In-Play Win Probability, Micro-Momentum, and Markov Decision Processes in CS2
A quantitative blueprint for modeling live in-play win probabilities in CS2 MR12 and Dota 2. Formulating discrete round-by-round Markov state machines, backward induction Bellman equations, micro-momentum logistic regression decomposition, and empirical +EV live trading execution across 3,800 professional maps.
Pistol Round Cascade Effects: Markov Chain Modeling of Early-Game Leverage in MR12
Quantitative analysis of pistol round leverage in CS2 MR12 format. Explores the 3-0 conversion cascade, second-round force-buy game theory, 2-0 pistol dominance, and live betting inefficiencies.
Economy Reset Mathematics: Loss Bonus Cascades and Buy Round Dynamics in CS2
Quantitative modeling of the CS2 economic engine under MR12. Dissects the 5-tier loss bonus, the fatal reset trap, CT versus T financial asymmetries, and in-play market mispricings at tied scorelines.
Comeback Probability Modeling: Dynamic Survival Analysis from Deficit States in MR12
Quantitative survival modeling of comebacks in competitive CS2 under MR12. Evaluates halftime deficits, map-bias normalization, choke dynamics vs regression, overtime pricing, and live market inefficiencies.
CT/T Side Asymmetry: Quantitative Normalization of Map Bias in CS2 and Dota 2
Quantitative normalization of side advantages across the CS2 Active Duty pool and Dota 2 Radiant/Dire. Analyzes empirical win rates, halftime score re-anchoring, Roshan geometry, and live betting inefficiencies.
Player Impact Rating & Fantasy Prop Models: Decomposing Individual Performance in CS2 and Dota 2
Pillar Hub on individual player performance metrics in esports. Decomposes HLTV Rating 2.1, ADR, KAST%, and Poisson-distributed kill props with empirical backtests across 2,400 professional maps.
Carry Potential & Solo Impact Ceilings: Modeling the Fragility of Single-Player Dominance
Quantitative modeling of solo carry dependency in CS2 and Dota 2. Derives the Team Damage Concentration Index (TDCI), Herfindahl fragility thresholds, and prop fade strategies for over-centralized rosters.
Role-Adjusted Performance (RAR): Normalizing Statistical Penalties for Anchors, Entry Fraggers, and IGLs
Quantitative framework for normalizing player performance by tactical role in CS2 and Dota 2. Eliminates structural bias against anchors and in-game leaders to uncover mispriced fantasy and MVP lines.
Individual Impact Redistribution in Roster Transfers: Role Clash & Space Cannibalization
Mathematical modeling of player performance shifts following roster transfers in CS2 and Dota 2. Derives space cannibalization constraints, role redundancy penalties, and Bayesian sample shrinkage.
Mean Reversion in Individual Esports Performance: Form Volatility, LAN Fatigue & Prop Fade Models
Quantitative modeling of individual performance regression to the mean in CS2 and Dota 2. Derives EMA form decay parameters, LAN fatigue coefficients, and empirical fade strategies on overheated star player props.