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Quote Engine Active Set: Peak Concurrently-Live Quotes

Shrinkage Blend of Two Alpha Sources with Z-Score Normalization

Arrival Price vs TWAP Decision under Alpha Decay

Dual-Benchmark IS — Arrival Price vs Interval VWAP

Arithmetic-average Asian Call MC Pricing with Antithetic Variates

Geometric-average Asian Call: Closed-form Black-Scholes Pricing

As-of Merge — Attach Most-Recent Mid-Price to Each Trade

As-of Merge — Trades against Quotes

Per-Asset Beta to a Benchmark Portfolio

Bachelier (Normal) Implied Vol from a Quoted Call

Daily Backtest with Overnight Borrow Cost

Multi-Feed Bar-Sync Period: LCM Modulo p

Up-and-out Barrier Call MC Pricing with Daily Monitoring

Basel III Output Floor — Capital Requirement Across Phase-In Schedule

Basel IRB Risk-Weighted Asset for a Corporate Exposure

Basel VaR Backtest — Traffic-Light Zone and Capital Multiplier Add-On

Binary-State Strategy — Best PnL With Post-Exit Cooldown

Bilateral CVA and DVA Under Independence: Two Discounted Time-Profile Sums

CRR Binomial Tree for an American Put

Analytical Binomial Credit-Loss VaR for a Uniform-PD Homogeneous Portfolio

American Put Pricing on a CRR Binomial Tree

CRR Binomial Tree for a European Call

Black-Scholes Call Implied Vol via Bisection

Blocked Time-Respecting CV: Contiguous Folds with Train-Before-Test

Convexity of a Fixed-Coupon Bond

Modified Duration of a Fixed-Coupon Bond

Modified Duration on a Discrete Zero Curve

Continuous-Compounded Yield-to-Maturity for a Fixed-Coupon Bond

Periodic Yield To Maturity of a Fixed-Rate Coupon Bond via Bisection

Multi-Strike Portfolio with Per-Strike Share Cap (Bounded Knapsack)

Best Realized PnL Bound Under K Disjoint Round-Trips with Per-Roundtrip Impact Cost

Box-Muller: Uniform Pairs to Standard-Normal Pairs

Brinson-Hood-Beebower Three-Effect Attribution

Brownian Bridge Running Minimum Survival Probability

Black-Scholes Delta for Batched Calls and Puts

Black-Scholes European Call and Put Pricing in Batch

Black-Scholes Gamma and Vega in Batch

Black-Scholes Implied Vol from a Quoted Call or Put via Newton-Raphson

Black-Scholes Rho for Batched Calls and Puts

Black-Scholes Theta for Batched Calls and Puts

Discrete Bucket-Vega Hedge Allocator

Budgeted Whole-Share Portfolio

Build Largest P&L Signal-Strength String

Detect Butterfly-Arbitrage Violations on a Call-Price Strike Grid

Calmar Ratio — Annualized Return over Maximum Drawdown

Pre-Aggregation Bucket Labels: Canonical-Form Group IDs for Multi-Venue Symbols

Capital Conservation Buffer: MDA Factor Quartile Schedule

Cash-or-Nothing Digital Call: Closed-form Black-Scholes Pricing

Periodic IRR of an Equally-Spaced Cashflow Stream Under the Standard-Project Assumption via Bisection

Per-Tenor Flat-Hazard Survival Curve from a CDS Spread Term Structure

CDS-Implied Cumulative Default Probability via the Credit-Triangle Approximation

Par CDS Spread Implied by a Cumulative Default Probability via the Inverse Credit Triangle

CDS Upfront Fee from Par Spread, Standard Coupon, and Risky PV01

Choueifaty Diversification Ratio of a Gaussian Portfolio

Christoffersen Conditional Coverage LR_cc Joint Statistic for VaR Backtesting

Christoffersen LR_ind Independence Statistic for VaR Backtesting

Christoffersen Independence Test for VaR Breach Clustering

Sample from a Clayton Copula

Locally-capped Cliquet Call MC Pricing with Antithetic Variates

Closer-Stronger Bid Distance (Bidirectional): Min of Prev / Next Strictly-Higher Bid

Closest Trade Pair to Target Notional

Cluster Correlated Tickers

Compact a Ring-Buffer of Ticks into Evenly-Bucketed Time Slices

Component VaR Decomposition (Euler Allocation)

Component VaR Decomposition for a Gaussian Portfolio

IC-IR-Weighted Composite of Three Sub-Factors

Compound-Poisson Aggregate-Loss Variance for an Operational-Risk LDA Period

Conditional Drawdown at Risk

Conditional Scenario-Tree Probability-Weighted PnL Aggregation

Consolidated Best-Bid Stream Across K Venue Quote Feeds

European Call MC with Geometric-Asian Control Variate

Empirical Copula Tail-Dependence Coefficients

Cornish-Fisher VaR

Cornish-Fisher VaR Adjusted for Skewness and Excess Kurtosis

Covariance to Correlation Matrix

Aggregate Multi-Desk VaR from Standalone VaRs and a Loss-Correlation Matrix

Correlated Factor-Shock Monte-Carlo for Stress P&L

Factor Cluster Count: Connected Components on a Thresholded Correlation Graph

Win-Count Leaves on a Forward Scenario Tree

Credit Expected Loss under Multiplicative PD and LGD Stress Shocks

Credit Portfolio Concentration: HHI and Effective Number of Counterparties from Per-Obligor EAD

Cross-Tape Buy-Above-Sell Routing-Quality Alert Count

Cross-Feed Cumulative-Count Lead Exchanges

Worst Cross-Feed Closest-Match Paired Lag

Cross-Feed Tick Match Count Within Tolerance Window

Cross-Feed Unmatched Tick Counts Per Side Within Tolerance

Cross-Gamma 2D Shock-Grid PnL via Bilinear-Quadratic Taylor

Cross-Gamma PnL Attribution: Two-Asset Greek Decomposition

Cross-Sectional Demean of an Alpha Factor

Rank-to-Percentile Transform on a Cross-Section of Alpha Factors

Cumulative PnL Drawdown Alert: Sorted Indices Underwater Beyond Threshold

Cumulative PnL Zero-Crossings: Count Sign Flips of the Backtest Equity Curve

Cumulative Default Probability from Marginal Hazard Rates: Term-Structure Composition

Cumulative VWAP at Each Tick

Currency Arbitrage Cycle Detection (Bellman-Ford on Log Rates)

DAG Multi-Worker Topological Schedule

Decile-Spread Forward Return Averaged Across Dates

Deduplicate a Replayed Tick Stream by (ts, exchange-seq), Latest-Ingest Wins

Deepest No-Drawdown Leaf on a Forward Scenario Tree

Pairwise Default Correlation from One-Factor Gaussian-Copula Bivariate-CDF Inputs

Bump-and-Revalue Finite-Difference Delta

Discrete Delta-Hedge Path Simulation with Transaction Costs

Diebold-Mariano Test for Two VaR Forecasts via Pinball-Loss Differential

Digital Cash-or-Nothing Call Monte Carlo with Antithetic Variates

Open-Order Dashboard Tile: Distinct Symbols Currently In Play

Divide-and-Conquer Sum Tree (Parallel Reduction Simulation)

Dollar Gamma Across a Strike Ladder

Double-No-Touch Pricing via Antithetic-Variate Monte Carlo

Downsample a Tick Stream into OHLCV Bars (Right-Closed)

Earliest End-Day Reaching A Cumulative Inventory Target From Each Starting Day

Sequenced Limit Orders — Earliest K-th Fire Day With Per-Order Threshold And Cooldown Gap

Earliest K-Period Window Whose Cumulative Return Meets A Sum Target And Whose Worst Single Period Stays Above A Floor

Earliest K-Day Window Whose Population Variance Strictly Exceeds A Spike Threshold

Edit Distance for Ticker-Symbol Mapping

PV-Weighted Effective Maturity M for IRB Credit RWA Input

Effective Number of Independent Obligors from Uniform Pairwise Default Correlation

Empirical CDF Tail Probability at a Fixed PnL Threshold

Enumerate Hedge Decompositions

Equal-Risk-Contribution Portfolio Weights

Toy Equal-Risk-Contribution Solver (Fixed-Point Iteration)

Expected Shortfall Calibration Backtest via Exceedance-Day Ratio

Euler Risk Allocation for Portfolio Volatility

European Call Monte Carlo with Antithetic Variates

European Call Price via Monte Carlo

Fit a Gumbel (GEV, ξ=0) to Block Maxima by Method of Moments

Hill Estimator for the Tail Index

Peaks-Over-Threshold GPD Fit by Method of Moments

Exponentially-Weighted Sharpe Ratio

RiskMetrics EWMA Volatility Forecast

EWMA-Weighted Historical VaR

Excess Returns Over a Benchmark

Composite Broker Execution-Quality Score with Direction-Aware Z-Score Blend

Expected Portfolio RWA After H Rating-Migration Steps

Rolling Historical Expected Shortfall (CVaR)

Factor Dependency Topo Order: Deterministic Min-Heap Kahn for Nightly Rebuild

Per-Factor Risk Attribution Under a Linear Factor Model

Factor-Shock Scenario P&L on a Linear Factor Model

Fan-Out / Fan-In Coordination — Event Replay

Per-Venue Fill Rate with Wilson Confidence Intervals

Filtered Historical Simulation VaR

First Duplicate Order ID

OU First-Passage Time by Monte Carlo

FIX-Style Trailing Checksum Verify: Trinary Label Per Pipe-Delimited Message

FIX-Style Tag Extract: First Value for a Numeric Tag in a Pipe-Delimited Message

Fixed-strike Lookback Call MC Pricing with Discrete Monitoring

Pricing a Floating-Rate Note from a Zero Curve

Forward-Fill Missing Minutes Within a Trading Session

Cross-Hedge Residual Variance and Explanatory Power

Black-Scholes PnL Attribution: Delta, Gamma, Vega, Theta

GARCH(1,1) Multi-Step Variance Forecast

Sample from a Gaussian Copula

Universal Tick Unit: GCD of Per-Venue Tick Sizes

Greenwald-Khanna Streaming Quantile Summary

Minimum Fee-Tier Selection to Cover a Target Volume Range

Walking the Book: Greedy Minimum-Cost Fill

Groupby-Mean by Key with a Min-Count Gate

G-SIB Systemic-Importance Score with Substitutability Cap

Single-Sigma Black-Scholes Calibration to a Strike Grid

Heston Calibration Residual in Implied-Vol Space

Highest K-Day Range

Historical Expected Shortfall at Multiple Confidence Levels

Historical Expected Shortfall

Historical Scenario Replay: Worst-K Rolling-Window PnLs

Historical Stress Loss Replay

Historical VaR at Multiple Confidence Levels

Historical VaR for a Long-Only Portfolio

Rolling Historical VaR Track

IC-Weighted Alpha Signal Combination

Iceberg Order Book — Replenishment & Fills

Idiosyncratic Volatility Factor — Rolling Residual Std After Market Beta

Post-Trade Impact Attribution Across Venues with a Cross-Venue Interaction

Implementation Shortfall — Three-Component Attribution

Implied Volatility with Newton + Bisection Fallback

Newton-Raphson Implied Volatility from a Quoted Call

Vega-Weighted Average Implied Volatility Across a Strike Grid

Implied Volatility via Bisection

Implied Volatility via Newton's Method

Incremental Largest Cluster Size: Streaming Union-Find on a Factor-Pair Edge Tape

Component VaR per Asset (Euler Decomposition)

Incremental VaR of a Candidate Trade

Annualized Information Ratio

Information Ratio of an Active-Return Series

Insert and Merge Order-Book Price-Level Intervals

Inverse Percentile Rank of Daily PnL Against Reference Distribution

Black-Scholes Call Implied Vol via Brent's Method (scipy.optimize.brentq)

Black-Scholes Call Implied Vol via Hybrid Newton-Raphson with Bisection Fallback

Batch IV Pre-Flight — No-Arbitrage Bracket Classifier

Black-Scholes Put Implied Vol via Bisection

Black-Scholes Call Implied Vol via the Secant Method

Jarrow-Rudd Binomial Tree for European Options

Jump Game II — Minimum Jumps to Reach Last Index

K-Day Momentum Hits

Kendall's Tau-a Rank Correlation on a Bivariate Sample

Budget-Constrained Ticker Selection (0/1 Knapsack)

Kupiec POF Likelihood-Ratio Statistic for VaR Backtesting

Kupiec Proportion-of-Failures (POF) Test Statistic

Lag/Lead Shift by Key — Within-Group Time-Series Offset

Largest Factor Cluster Size: Maximum Connected Component on a Thresholded Correlation Graph

Largest Volume Rectangle in a Histogram

Basel III Liquidity Coverage Ratio with HQLA Caps

Leaky-Bucket Rate Limiter as Admission Control

Leisen-Reimer Binomial Tree for European Options

Basel III Leverage Ratio: Credit Conversion Factors over Off-Balance Items

LGD Beta-Distribution Calibration via Method of Moments

LGD via Collateral-Then-Unsecured Recovery Waterfall

LGD Aggregation with Collateral Recovery Cascade

Lifetime Expected Loss with Survival Weighting and Per-Period LGD/EAD

Limit-Order Fill Simulation against High-Low Bars

Linear Market-Impact Cost of a Child-Order Schedule

Liquidity Coverage Ratio: HQLA, Inflow Cap, and Net-Outflow Floor

Longest Consecutive Sequence (Hash Set)

Longest Contiguous Window of Volumes Within an Impact Budget

Longest Stable Trading Streak

Longest Stair-Stepping Subsequence Of Cumulative-PnL Reports Under A Minimum-Gain Gate

Longest Sub-Window Beating a PnL Target via Monotonic-Stack on Prefix Sums

Longest Trailing Window Whose Absolute-Return Sum Stays Within a Volatility Budget

Look-Ahead Bias Detector via Lagged-Correlation Comparison

Fixed-Strike Lookback Call Pricing via Monte Carlo

Lopez I Magnitude Loss Function for VaR Backtesting

MapReduce Group-By Count (Two-Phase Aggregation)

Marginal Default Probability from a Cumulative-PD Term Structure: Inverse Bootstrap

Marginal VaR by Asset (Closed-Form Gradient)

Marginal VaR Sensitivity for a Gaussian Portfolio

Maximum Realised Cumulative Return When Allowed To Skip At Most K Periods

Winning-Streak Counting — Maximum Disjoint Positive-Sum Runs of Minimum Length

Max Drawdown Decomposition

Maximum Drawdown Duration on the Equity Curve

Semi-Analytic Call Price on the Max of n iid Lognormals

Single-Session Child-Order Scheduling with FIX Reconfigure Gap

Disjoint Risk-Bucket Hedge Selection under a Bucket-Budget Bitmask

Maximum Total Reward From Timestamped Trade Candidates Under A Compliance Hold-Period Gap

Three-State Action Path — Max Cumulative Reward With Flat Per-Flip Switching Penalty

Max Sum of a Min-Step-Monotone Reward Subsequence (Stair-Step PnL Ceiling)

Maximum Child-Order Throughput With Per-Order Durations And A FIX-Session Gap

Maximum Concurrent Trades

Mean-Excess Curve Across a Threshold Grid

Mean-Reversion Factor — Residualized Last-K Return

Merge Per-Day Bar Shards into a Sorted Timeseries

Merge K Quote Streams with Lineage

Merge K Sorted Trade Streams

Merge K Per-Venue Trade Tapes Into One Chronological Stream

Top-N Recent Items From Per-Source News Feeds

Merge Two Trade Tapes

Min Cancels for Quote Stability

Throttle-Window Compliance Replay: Minimum Order Cancels

Min Contracts to Cover Greek Buckets via Bitmask BFS

Minimum Cost for Train Travel Passes

Regime-Stability Segmentation — Fewest Bounded-Spread Runs Over A Return Stream

Earliest Second Where the Algo Hits Its Volume Target Without Tripping the Slippage Cap

Minimum Constant Maker Fill-Rate to Meet a Parent-Order Deadline Under Per-Minute Supply Caps

Position-Band Governance: Minimum Flatten-Resets to Stay Inside [-L, +L]

Best Single Round-Trip Realized PnL Under a Minimum-Holding-Period Compliance Rule

Min Hops to Core Factor Set: Multi-Source BFS on a Factor-Similarity Graph

Calibrating the Minimum Leverage Cap for a Target Risk Budget

Largest Uniform Collateral Haircut Covering a Liability via Bisection

Minimum Max-Drawdown Across Root-to-Leaf Paths

Tear-Sheet Bucketing — Fewest Strictly-Positive-Sum Cover Chunks With Per-Block Length Cap

Hedge-Inventory Replenishment: Minimum Top-Ups to Stay Non-Negative

Minimum Routers with FIX-Session Setup Delay

Smallest Slippage Cutoff Meeting a Target Absolute Weighted Cost via Bisection

Minimum Spread Tolerance for Target Fill Rate

Two-Asset Minimum-Variance Portfolio (Closed Form)

Long-Only Minimum-Variance Portfolio Weights

Smallest Slice Length Whose Every Window Meets a Volume Target

Mincer-Zarnowitz OLS Regression for VaR-Forecast Unbiasedness

Misra-Gries (k-1)-Counter Heavy-Hitters Over a Trade-Tape Stream

Modigliani M-Squared — Vol-Rescaled Risk-Adjusted Return

Monte-Carlo VaR for a Multi-Asset Portfolio

Tape-Anomaly Detector: Most-Repeated Trade Fingerprint

Multi-Horizon Gaussian VaR Scaling

Multi-Factor Scenario PnL Vector via Linear Taylor

End-of-Day Net Positions from a Raw Trade Tape

Net Stable Funding Ratio: ASF over RSF Aggregation

Group-Neutralize a Factor by Sector Tag

Time-to-New-All-Time-High: First Future Index Strictly Above the Running Peak

Notional by Venue, Ranked

Omega Ratio of a Return Series at a Threshold

Online Cumulative Bollinger Bands: Welford-Recurrence Band-Pair Stream

Online EWMA Covariance Pair — Cross-Asset Hedge-Ratio Building Block

Online EWMA Residual Stream — Surprise-vs-Prior Exponential-Weight Mean

Online EWMA Variance — Recency-Weighted Volatility Tracker

Online Median of Slippage

Online Running Excess Kurtosis via Welford-Style Fourth-Moment Recurrence

Online Running Sample Skewness via Welford-Style Third-Moment Recurrence

Online Streaming Mean, Variance, Skewness, and Excess Kurtosis (Welford-Pebay)

Online Z-Score Anomaly Flag

Online Z-Score Outlier Flagger: Welford-Cumulative Anomaly Detection on a Tick Stream

Optimal Cooldown Period Trades

Order Queue Priority

Router Reliability Check: Count Orphan Cancellations

Classical Gram-Schmidt Orthogonalization of Priority-Ordered Alpha Signals

Pairwise Rating-Transition Probability at Horizon: Single Entry of Markov Chain M^H

Pancake Sort: Flip Sequence

Parametric Gaussian Expected Shortfall from Caller-Supplied Moments

Rolling Parametric VaR (Normal)

Partition Orders to Minimize Basis Mismatch

Closed-Form 2x2 PCA Eigendecomposition

PCA Explained-Variance Ratio for Top-k Components

Multi-Period Default Probability from a Rating-Transition Matrix

Post-Earnings Announcement Drift Signal (D+1 to D+60 Excess Return)

Percent-Change from a Configurable Base

Quantile Estimate from Pre-Bucketed Histogram Counts

Linear-Interpolation Percentile of Trade PnL

Survival Probability at Multiple Horizons under a Piecewise-Flat Hazard Term Structure

Pinball (Quantile) Loss for VaR Forecast Backtesting

Research Pipeline DAG — Cascade-Invalidate Downstream of a Failed Task

Research Pipeline DAG — Compute the Next-Runnable Set

Standardized VaR-Forecast Residual Stream — De-Mean Then Divide By Vol

Long-to-Wide Pivot — Reshape a (Date, Ticker, Value) Panel into a Matrix

Greek-Based PnL Attribution

Greek-Attribution P&L Explain with Residual Diagnostic

Aggregate Book Delta per Underlying

Portfolio Expected Loss by Bucket: PD x LGD x EAD Waterfall

Multi-Asset Portfolio Parametric VaR (w^T Σ w)

Whole-Share Portfolio Allocator under a Single-Name Cap

Per-Asset and Portfolio Cap Clamping for Target Weights

Position Fingerprint Grouping

Position P&L With Transaction Fees

Reactive POV Schedule with Min/Max Catch-Up Bounds

Pre-Trade Multi-Leg Impact Budget Check (Square-Root Model)

Prev-Stronger Bid Distance: Time Since the Last Strictly-Higher Bid Print

Price-Time Priority Queue — Order Book Replay

Priority-Driven Task Scheduling with Deps on a Worker Pool

Pro-Rata Allocation — Single-Level Fill Distribution

Probability of Reaching a Target Leaf Set on a Binary Scenario Tree

Prune Binomial Tree to Min Nodes

Purged k-Fold CV with Embargo

Present Value of a Post-Default Recovery Cash-Flow Stream

Quadratic-Taylor Scenario PnL Vector via Delta and Gamma

Quartile Pack with IQR from Per-Period Returns

Queue Position Fill Probability — Closed-Form Under Poisson Arrivals

Quintile (k-tile) Bucketing of a Cross-Sectional Factor

Best-of-N Rainbow Call MC Pricing with Cholesky and Antithetic Variates

Range-Accrual Note Pricer via Daily-Monitoring MC with Antithetic Variates

Rank-Average Multi-Factor Signal Combination

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

Rank-Disagreement Count: Pairwise Inversions Between Expected and Realized Strategy Rankings

Rank Strategies by Sharpe with Vol Tiebreak

Multi-Step Rating Distribution Propagation: Markov Transition Forward H Steps

Realign K Trade Tapes to a Global Clock with Per-Tape Offsets

Turnover-Aware Rebalance on Bucketed-Signal Change

Forward Recovery Distance: Days Until Cumulative Gain Clears Delta

Per-Node Conditional Expected Leaf Payoff on a Scenario Tree

Regime-Conditional Historical Expected Shortfall

Regime-Conditional Historical VaR

Regime Transition Path Count: Modular DAG Walk Enumeration with Distinguishable Catalysts

Removing K Digits — Smallest Result

Sparse Vanilla Replication of an Exotic Payoff

Reverse Stress Test — Flag Scenarios That Hit a Loss Target

Reverse Stress Test — Solve for Shock Magnitude Hitting a Target Loss

Rolling Beta — Strategy vs. Benchmark

Rolling Beta vs Benchmark

Rolling Pearson Correlation Between Two Series

Rolling Max-Min Spread

First-Update-After-Stale-Period Flags on a Quote-Update Timestamp Stream

Live Trade-Rate Count over a Half-Open Lookback Sliding Window

Longest Stable-Volatility Regime via Rolling Sample-Stddev Sliding Window

Minute-Bar Range Monitor via Dual-Deque Sliding Max-Minus-Min

Rolling Z-Score Anomaly Flags

Counterparty Diversity Diagnostic: Running Distinct Counterparty Count

Running Maximum Drawdown of a Streamed Log-Return NAV Path

Running Cumulative-History Pearson Correlation via Welford-Style Co-Moment Recurrence

P-Square (P²) Streaming Quantile Estimator

Running Unbroken-Bid Stack Sum: Cumulative Support of Still-Standing Prior Bids

Hagan SABR Implied Lognormal Vol from Parameters

Calibrate SABR Volvol (alpha, rho, nu) to a Smile

SA-CCR Counterparty EAD: Collateral-Adjusted RC plus Aggregated PFE with Alpha

Expected PnL on a Risk-Officer Scenario Tree

Worst-Case Leaf PnL on a Risk-Officer Scenario Tree

Sector-Day Return Cube: Batched Rectangular Range Sums

Sector-Neutralize an Alpha Factor Cross-Section

Semi-Deviation of a Return Series Around the Sample Mean

Session-Window Aggregation — Gap-Driven Boundaries

Shortest Contiguous Window Whose Absolute-Return Sum First Reaches a Stress-Budget Target

Shortest Window Hitting a Cumulative Return Target

Shortest Window Containing K Magnitude Spikes in a Return Stream

Implementation Shortfall — Fee vs Market-Impact Decomposition

Toy Ledoit-Wolf Shrinkage Covariance

Multi-Horizon Signal Blend with Time Decay

Single-Name Concentration: Flag Counterparties Breaching the Basel Large-Exposure Limit

Size Factor as Negative Log Market Cap (Cross-Sectional Z-Score)

Size-Weighted Median Fill Price

Sliding Window Max of Quotes

Sliding-Window Mean — Fixed-Count Window with O(1) Eviction

Sliding-Log Rate Limiter (Deque of Admitted Timestamps)

Smallest Position Size Meeting Risk Budget

Multi-Level SOR with Stale-Quote Re-Routing — Event Replay

Min-Venue-Count Smart Order Routing with Fee-Tier Crossing Penalty

SOR Across Replenishing Iceberg Venues — Event Replay

Fee-Aware Static Smart-Order Routing Across Venues

Annualized Sortino Ratio

Sortino Ratio of a Return Series with Target Return

Span of Higher Highs

Sticky Binary-State Strategy — Best PnL With Per-Flip Tax And Initial-State Anchor

Online Stock Span

Per-Strategy P&L Bookkeeping with Mark-to-Market

Strategy Leaderboard: Top-K by Sharpe with Lexicographic Tie-Break

Running VWAP Across Merged K-Venue Trade Tapes

Streaming Median Over a Fixed Time Window

Streaming Running Mode — Most-Frequent Value with Lazy-Deletion Heap

Streaming Top-K Tickers by Notional

Stress Impact on CET1 Ratio: Stressed Ratio and Change-from-Baseline

Stressed Expected Shortfall — Worst Rolling-Window Historical ES

Stressed VaR — Worst Rolling-Window Historical VaR

Total Uniform-Fill Shares across Every Order-Book Level Range

Subarray Sum Equals K

Subranges Above Return Threshold

Sum of Subarray Minimum P&Ls

Survival-Weighted Expected-Exposure Profile for CVA Aggregation

Survivorship-Aware Tradeable Universe on a Date

Fit SVI Parameters to a Single Expiry Slice

Systematic-vs-Idiosyncratic Variance Decomposition (Factor Model)

Multi-Position Four-Greek P&L Attribution with Theta Decay

Three-Stream Synchronized Triple Count Within Tolerance

Through-the-Cycle PD from a Point-in-Time Series: Geometric Mean of Survivals

Tick Buffer — Binary-Search Lookup and Range Scan by Timestamp

Tier-1 Capital Ratio: CET1 Deductions, AT1 Add-back, and RWA

FSB TLAC Dual Ratios: TLAC/RWA and TLAC/Leverage-Exposure

Token-Bucket Rate Limiter with Bounded Pending Queue

Top K PnL Days So Far

Equal-Weight Long-Top-K / Short-Bottom-K Portfolio

TCA Worst-K Fills: Top-K Slippage with Stable Arrival-Seq Tiebreak

Tracking-Error Variance Contribution by Sector

Scalar Tracking Error of an Active-Return Series

Co-Trading Graph — Connected Components of Session Trade Pairs

Aggregate a Trade Tape Into Per-Bucket OHLCV Bars

Trailing High-Watermark Span: Per-Tick Consolidation Length on a Synthetic Tape

Trailing 12-1 Momentum Factor (Skip Last Month)

Transaction-Cost-Aware Target Weights from Alpha Signal

Trapping Volume Between Local-Max Quotes

Tree Reduction with (min, max) Associative Combiner

Treynor Ratio — Systematic-Risk-Adjusted Excess Return

Boyle Trinomial Tree for an American Put

CRR3 Trinomial Tree for a European Call

Tumbling-Window Aggregation — Sparse Per-Bucket Stats

Turnover-Constrained Portfolio Rebalance

TWAP Equal-Slice Schedule with Front-Loaded Residue

Unilateral CVA Under PD-EE Independence: Discounted Time-Profile Sum

Up-and-In Barrier Call: Closed-form Reiner-Rubinstein Pricing with Rebate

Up-Capture and Down-Capture Ratios versus a Benchmark

VaR Backtest Exceedance Count and Longest Cluster

Count and Timestamp VaR Breaches

Lag-1 Autocorrelation of VaR Hit Indicators

Vasicek ASRF Loss Rate

Vasicek Single-Factor Conditional PD Given a Realized Systematic Factor

Vasicek MLE Fit from a Short-Rate Series

Vectorized PnL with Time-Varying Borrow Fee Curve

Vectorized Per-Period PnL with Transaction Costs

Bucket Vega Exposure by Maturity

Vega-Bucketed PnL Explain Across a Strike Grid

Static Vega Replication of an Exotic into a Vanilla Basis

Vintage Cohort Per-Period Default Rate: Conditional Hazard from a Loan Vintage

Detect Calendar-Arbitrage Violations on an Implied-Vol Surface

Linear Total-Variance Interpolation Across Maturities

Inverse-Vol Portfolio with Position Cap

VWAP Deviation by Broker

VWAP Tracking-Error P&L

VWAP Schedule Along a Volume Curve with Participation Cap

Walk-Forward Train/Test Splits with Embargo

Walk-forward CV: Expanding and Rolling-window Folds

Weighted Historical VaR with Custom Weights

Welford Warm-up-Trimmed Sample Variance — Stable Online Estimator on a Trailing Tail

Wilson Score Binomial CI for VaR Exceedance Rate

Sliding-Window Argmin Offset: Per-Window Position of the Minimum Price Relative to the Window Left Edge

Tumbling Window Trigger Firing Policies (Early, On-Close, Speculative)

Rolling Hit-Rate of Strictly-Positive Returns over a Fixed-Size Window

Cross-Sectional Winsorization of Alpha-Factor Values

Bootstrap a Zero Curve from Par Yields

Yield to Maturity via Bisection

Cross-Sectional Z-Score with Optional Winsorization