This Pine Script™ is designed for traders seeking advanced statistical analysis based on autoregressive (AR) models, with automatic filtering of significant lags according to a customizable confidence threshold.
Key Features:
AR(p) Model with Significance Filtering: Only statistically significant lags (based on the selected confidence level) are included in the model calculations. Coefficient Weighting Options: Uniform weighting. Weighting based on the t-statistic. Visualization of Key Indicators: Dynamic plotting of autoregressive values, upper and lower bounds (based on standard deviation). Buy ("Buy") and Sell ("Sell") signals when values exceed the defined bounds. Robust Analysis: Calculation of statistical parameters: T-stat, p-value, skewness, kurtosis, r², and the Jarque-Bera test to assess the robustness and normality of residuals. Summary of results displayed in a visual table for simplified interpretation. Interactive Tables: Display of lags, coefficients, t-statistics, p-values, and their significance via a dynamic table. Overall robustness indicator and interpretation of results ("Good," "Non-significant," etc.). Easy Customization: Adjustable confidence level (90% to 99%). Configurable lengths for moving average and standard deviation to fine-tune signal thresholds.
Benefits for Traders: Effortless Analysis: Automatically identifies significant relationships between past and present values, removing unnecessary assumptions. Enhanced Accuracy: Filters signals based on rigorous statistical criteria to avoid false signals. Clear Visualization: Interactive tables and plots to quickly understand critical parameters.
Default Configuration: Confidence level: 95%. Lag weighting: Uniform. Moving average length: 20 periods. Standard deviation length: 15 periods. Usage Recommendations: Ideal for analyzing volatile assets or identifying potential reversal zones. Use alongside other indicators to confirm signals.