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refactor: Refactored with public getters for OLS parameters
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@@ -5,7 +5,7 @@
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//| Copyright 2026, xxxxxxxx |
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//| Copyright 2026, xxxxxxxx |
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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#property copyright "Copyright 2026, xxxxxxxx"
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#property copyright "Copyright 2026, xxxxxxxx"
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#property version "1.10" // Added support for dynamic anchored window sizes
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#property version "1.20" // Refactored with public getters for OLS parameters
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#ifndef PAIRS_TRADING_CALCULATOR_MQH
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#ifndef PAIRS_TRADING_CALCULATOR_MQH
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#define PAIRS_TRADING_CALCULATOR_MQH
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#define PAIRS_TRADING_CALCULATOR_MQH
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@@ -23,6 +23,11 @@ private:
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double m_arr_B[];
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double m_arr_B[];
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double m_spread_history[];
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double m_spread_history[];
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//--- Persistent OLS parameters for get retrieval
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double m_beta;
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double m_alpha;
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double m_std_dev_spread;
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//--- Statistics helpers
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//--- Statistics helpers
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double GetMean(const double &arr[], int size);
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double GetMean(const double &arr[], int size);
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double GetVariance(const double &arr[], double mean, int size);
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double GetVariance(const double &arr[], double mean, int size);
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@@ -34,15 +39,21 @@ public:
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bool Init(int max_window);
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bool Init(int max_window);
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//--- Upgraded: Accepts a dynamic window_size for VWAP-style anchored resets
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//--- Dynamic rolling OLS Z-Score calculation
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double CalculateZScore(int rates_total, int current_index, int window_size,
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double CalculateZScore(int rates_total, int current_index, int window_size,
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const double &sync_price_A[], const double &sync_price_B[]);
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const double &sync_price_A[], const double &sync_price_B[]);
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//--- Public getters to share the calculated coefficients with the Band indicator
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double GetBeta(void) const { return m_beta; }
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double GetAlpha(void) const { return m_alpha; }
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double GetStdDev(void) const { return m_std_dev_spread; }
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};
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};
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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//| Constructor |
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//| Constructor |
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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CPairsTradingCalculator::CPairsTradingCalculator() : m_max_window(120) {}
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CPairsTradingCalculator::CPairsTradingCalculator() :
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m_max_window(120), m_beta(0.0), m_alpha(0.0), m_std_dev_spread(0.0) {}
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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//| Init |
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//| Init |
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@@ -59,9 +70,13 @@ bool CPairsTradingCalculator::Init(int max_window)
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double CPairsTradingCalculator::CalculateZScore(int rates_total, int current_index, int window_size,
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double CPairsTradingCalculator::CalculateZScore(int rates_total, int current_index, int window_size,
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const double &sync_price_A[], const double &sync_price_B[])
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const double &sync_price_A[], const double &sync_price_B[])
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{
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{
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// Safety 1: Enforce minimum of 15 bars for statistical significance on anchored starts
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if(window_size < 15 || current_index < window_size)
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if(window_size < 15 || current_index < window_size)
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{
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m_beta = 0.0;
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m_alpha = 0.0;
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m_std_dev_spread = 0.0;
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return 0.0;
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return 0.0;
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}
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//--- Dynamic array allocation based on the current active anchor size
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//--- Dynamic array allocation based on the current active anchor size
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if(ArraySize(m_arr_A) != window_size)
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if(ArraySize(m_arr_A) != window_size)
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@@ -88,30 +103,35 @@ double CPairsTradingCalculator::CalculateZScore(int rates_total, int current_ind
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double cov_AB = GetCovariance(m_arr_A, mean_A, m_arr_B, mean_B, window_size);
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double cov_AB = GetCovariance(m_arr_A, mean_A, m_arr_B, mean_B, window_size);
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if(var_B <= 1.0e-9)
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if(var_B <= 1.0e-9)
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return 0.0; // Div-by-zero protection
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{
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m_beta = 0.0;
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m_alpha = 0.0;
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m_std_dev_spread = 0.0;
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return 0.0;
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}
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//--- Calculate OLS Rolling Hedge Ratio (Beta) and Intercept (Alpha)
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//--- Calculate OLS Rolling Hedge Ratio (Beta) and Intercept (Alpha)
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double beta = cov_AB / var_B;
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m_beta = cov_AB / var_B;
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double alpha = mean_A - (beta * mean_B);
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m_alpha = mean_A - (m_beta * mean_B);
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//--- Calculate the historical spreads over the active window (Mean is algebraically 0.0)
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//--- Calculate the historical spreads over the active window
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double sum_sq_spread = 0.0;
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double sum_sq_spread = 0.0;
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for(int k = 0; k < window_size; k++)
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for(int k = 0; k < window_size; k++)
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{
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{
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m_spread_history[k] = m_arr_A[k] - (beta * m_arr_B[k]) - alpha;
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m_spread_history[k] = m_arr_A[k] - (m_beta * m_arr_B[k]) - m_alpha;
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sum_sq_spread += m_spread_history[k] * m_spread_history[k];
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sum_sq_spread += m_spread_history[k] * m_spread_history[k];
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}
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}
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// Sample standard deviation of the active spread window
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// Sample standard deviation of the active spread window
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double std_dev_spread = MathSqrt(sum_sq_spread / (window_size - 1));
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m_std_dev_spread = MathSqrt(sum_sq_spread / (window_size - 1));
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if(std_dev_spread <= 1.0e-9)
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if(m_std_dev_spread <= 1.0e-9)
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return 0.0; // Protection against dead spreads
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return 0.0;
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//--- Calculate the final current Z-Score
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//--- Calculate the final current Z-Score
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double current_spread = sync_price_A[current_index] - (beta * sync_price_B[current_index]) - alpha;
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double current_spread = sync_price_A[current_index] - (m_beta * sync_price_B[current_index]) - m_alpha;
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return current_spread / std_dev_spread;
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return current_spread / m_std_dev_spread;
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}
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}
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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