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Shrinkage Blend of Two Alpha Sources with Z-Score Normalization
American Put Pricing via Longstaff-Schwartz Least-Squares Monte Carlo
Arrival Price vs TWAP Decision under Alpha Decay
Dual-Benchmark IS — Arrival Price vs Interval VWAP
As-of Merge — Attach Most-Recent Mid-Price to Each Trade
Basel VaR Backtest Traffic-Light Zones
Blocked Time-Respecting CV: Contiguous Folds with Train-Before-Test
Bond Portfolio Key-Rate Duration Hedge via Least Squares
Brinson-Hood-Beebower Three-Effect Attribution
Detect Butterfly-Arbitrage Violations on a Call-Price Strike Grid
Calmar Ratio — Annualized Return over Maximum Drawdown
Choueifaty Diversification Ratio of a Gaussian Portfolio
Christoffersen Independence Test for VaR Breach Clustering
Compact a Ring-Buffer of Ticks into Evenly-Bucketed Time Slices
Component VaR Decomposition for a Gaussian Portfolio
IC-IR-Weighted Composite of Three Sub-Factors
Aggregate Multi-Desk VaR from Standalone VaRs and a Loss-Correlation Matrix
Deduplicate a Replayed Tick Stream by (ts, exchange-seq), Latest-Ingest Wins
Double-No-Touch Pricing via Antithetic-Variate Monte Carlo
Downsample a Tick Stream into OHLCV Bars (Right-Closed)
Composite Broker Execution-Quality Score with Direction-Aware Z-Score Blend
Factor-Shock Scenario P&L on a Linear Factor Model
Per-Venue Fill Rate with Wilson Confidence Intervals
Forward-Fill Missing Minutes Within a Trading Session
Idiosyncratic Volatility Factor — Rolling Residual Std After Market Beta
Implementation Shortfall — Three-Component Attribution
Vega-Weighted Average Implied Volatility Across a Strike Grid
Importance Sampling for Deep OTM Monte Carlo
Information Ratio of an Active-Return Series
Merton Jump-Diffusion European Call via Monte Carlo
Lag/Lead Shift by Key — Within-Group Time-Series Offset
Limit-Order Fill Simulation against High-Low Bars
Look-Ahead Bias Detector via Lagged-Correlation Comparison
Marginal VaR Sensitivity for a Gaussian Portfolio
Mean-Reversion Factor — Residualized Last-K Return
Modigliani M-Squared — Vol-Rescaled Risk-Adjusted Return
Multi-Leg Implementation Shortfall — Basket Covariance Attribution
Multi-Level Monte Carlo for a European Call
Rank Features by Histogram-Estimated Mutual Information with the Target
Online PCA via Oja's Rule (Streaming PC1)
Post-Earnings Announcement Drift Signal (D+1 to D+60 Excess Return)
Long-to-Wide Pivot — Reshape a (Date, Ticker, Value) Panel into a Matrix
Per-Asset and Portfolio Cap Clamping for Target Weights
Purged k-Fold Cross-Validation for Time-Series ML
Cross-Sectional Rank Bucketing into Deciles with Ordinal Tie-Breaks
Spearman Rank Correlation with Average-Rank Tie Breaking
RankGauss Transform on a Cross-Section of Alpha Factors
Turnover-Aware Rebalance on Bucketed-Signal Change
Reverse Stress Test — Solve for Shock Magnitude Hitting a Target Loss
Rolling Engle-Granger Cointegration Test for Pairs Trading
Semi-Deviation of a Return Series Around the Sample Mean
Implementation Shortfall — Fee vs Market-Impact Decomposition
Size Factor as Negative Log Market Cap (Cross-Sectional Z-Score)
Sortino Ratio of a Return Series with Target Return
European Call MC with Stratified Sampling on Terminal Z
Stress Coverage Ratios Against Available Capital
Survivorship-Aware Tradeable Universe on a Date
Systematic-vs-Idiosyncratic Variance Decomposition (Factor Model)
Tick Buffer — Binary-Search Lookup and Range Scan by Timestamp
Tracking-Error Variance Contribution by Sector
Scalar Tracking Error of an Active-Return Series
Trailing 12-1 Momentum Factor (Skip Last Month)
Transaction-Cost-Aware Target Weights from Alpha Signal
Treynor Ratio — Systematic-Risk-Adjusted Excess Return
TWAP Equal-Slice Schedule with Front-Loaded Residue
Up-Capture and Down-Capture Ratios versus a Benchmark
Vectorized PnL with Time-Varying Borrow Fee Curve
Linear Total-Variance Interpolation Across Maturities
VWAP Schedule Along a Volume Curve with Participation Cap
Walk-forward CV: Expanding and Rolling-window Folds
Walk-Forward Validation for Time-Series Backtests
Cross-Sectional Winsorization of Alpha-Factor Values
Cross-Sectional Z-Score with Optional Winsorization