Perform event study analysis in R to calculate Abnormal Returns (AR) and Cumulative Abnormal Returns (CAR) using the Market Model, including data preparation, regression coefficient estimation, and expected return calculation.

Explains mathematical or machine learning concepts by combining abstract reasoning with concrete numerical examples after every step to ensure the explanation is lively and intuitive.

Act as a Game Master for a fantasy RPG where the hero regresses in age due to negative emotions, magical charms, or hidden subtextual traps. Manage d20 action rolls with susceptibility penalties, d6 regression mechanics, and a mischievous magical companion, while maintaining immersive narrative flow and explicit user-driven dice rolling.

Manages a fantasy RPG scenario (e.g., mage training) where the protagonist regresses in age over a limited timeline. Uses d20 mechanics, tracks spells/stats, and enforces stress-induced regression with difficulty scaling and immersive narrative.

Solves math MCQs under strict time limits (20-30s) using shortcuts and estimation. Provides the solution and high-efficiency techniques, with simple explanations available upon request.

Explain math concepts to low-achieving students using a growth mindset approach while adopting the persona of Carmen.

Создает функцию Mathematica для извлечения скрытого текста из изображения с использованием блоков 8x8, маскирования яркости и декодирования WindowsCyrillic, обрезая данные по длине CVZ.

Execute comprehensive portfolio analysis in R, covering data preparation, asset selection (Reward-to-Risk, P/E), optimization (GMVP, Tangency) using PortfolioAnalytics with the ROI solver, and regression analysis.

Identifies and trims the linear portion of a noisy 1D dataset by iteratively fitting a manual linear regression model (without sklearn) and detecting deviations in the rolling standard deviation of residuals.

Calculates the average time duration per step from session logs using Python (streaming/ETL) or SQL. Handles duplicate steps by using the first timestamp and ensures data is sorted for accurate calculation.

A C program to read candidate names and votes from a file, calculate statistics (total, valid, invalid votes), determine winners, and print results with dynamically aligned columns based on name length.

Calculates the derivative of a mathematical function and provides the result in a fully simplified algebraic form, ensuring common factors are factored out and expressions are reduced.

Solves mathematical, logical, and reasoning problems with high accuracy and extreme brevity. Delivers the final answer directly, minimizing explanation unless strictly necessary for clarity.

Estimate additional survival time for alive patients in oncology clinical trials using a Cox Proportional Hazards model and a weighted average of conditional survival probabilities. Includes data simulation and step-by-step statistical explanation.

Calculates daily returns, estimates expected returns using the market model (linear regression), and computes Abnormal Returns (AR) and Cumulative Abnormal Returns (CAR) for financial event studies.

Use this skill when explaining abstract mathematical or algorithmic concepts. The user requires explanations to be lively and intuitive by combining rigorous theoretical steps with concrete numerical examples after every step.

Extracts seasonal components using MSTL decomposition with dynamic season length calculation, assigning zero seasonality to short series to ensure complete data for ensemble modeling.

Manages a harsh fantasy orphanage RPG where the user (Sapphire) cares for Lily, a child with age-regression powers. Uses d20/d4 mechanics, a trust system, and enforces strict penalties for regression.

Performs comprehensive structural analysis and sizing for floating dock pontoons (PE4710), including buoyancy calculations, detailed ULS lateral load checks (wind, berthing) with explicit stress and deflection formulas for cantilever piles, wave action analysis, and serviceability limit state (SLS) verification.

A high-difficulty 10-round fantasy RPG Game Master simulating a magic duel between Sapphire and challenger Lily. The system enforces continuous age regression, exponential stat shifts, dynamic juvenile spell lists, strict stat-based combat with partial success logic, a Childish Meter, Confidence Damage mechanics, and explicit turn-order priority for regression effects.

Adopt the persona of Carmen to explain math concepts to low-achieving students using a growth mindset, emphasizing effort, progress, and simple analogies.

A structured 6-step methodology for designing sales compensation models using Monte Carlo simulations, tailored for subscription-based software startups, combining financial planning and statistical analysis.

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Assesses whether study results are trustworthy by auditing design integrity, sample structure, statistical handling, bias control, validation chain, and claim discipline. It identifies where results are robust, fragile, overfit, under-validated, or overclaimed. Always separate reported findings from reliability judgment. Never fabricate references, PMIDs, DOIs, trial identifiers, study features, or validation claims.

Recommends target journals for manuscript submission by analyzing the paper topic/abstract and the journal distribution of similar PubMed literature; use when users ask for journal recommendation/matching, submission strategy, PubMed search, or similar-literature statistics.

Calculate Body Mass Index (BMI) and Body Surface Area (BSA) for clinical assessment, obesity screening, and chemotherapy dosing. Supports multiple BSA formulas (DuBois, Mosteller, Haycock), WHO weight classification, pediatric calculations, and metric/imperial input.

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Run regression analyses in Stata with publication-ready output tables.

End-to-end R data analysis workflow from exploration through regression to publication-ready tables and figures.

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Computational methods for statistical inference and optimization

Design and implementation of comprehensive simulation studies

Core mathematical concepts and theoretical frameworks for statistics

Structured methodology for constructing and verifying mathematical proofs in statistical research

Six-phase protocol for adapting methods across research domains

Writes academic prose interpreting regression output. Use when describing estimation results in manuscript-ready language.

Creates a Jupyter notebook with Jupytext pairing and registers it in _quarto.yml. Use when adding a new notebook.

Writes rigorous mathematical proofs for ML/AI theory. Use when asked to prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, \u8865\u5168\u8bc1\u660e, \u5199\u8bc1\u660e, \u8bc1\u660e\u67d0\u4e2a\u547d\u9898, or determine whether a claimed proof can actually be completed under the stated assumptions.

Causal inference methods including DiD, IV, RDD, and synthetic control

Learn causal inference with Python using the Brave and True handbook

Comprehensive Stata reference covering syntax, econometrics, and 20+ packages

Detect anomalies and outliers in research data using statistical methods

Strategic statistical modeling, experimentation, and causal inference

Sample size calculation and statistical power analysis guide

Structural equation modeling with latent variables guide