namespace QuanTAlib; /// /// Represents a Z-score calculator that measures how many standard deviations /// an element is from the mean of a set of values. /// /// /// The Zscore class calculates the Z-score (also known as standard score) for /// the most recent value in a given period. It uses a circular buffer to /// efficiently manage the data points within the specified period. /// public class Zscore : AbstractBase { private readonly int Period; private readonly CircularBuffer _buffer; /// /// Initializes a new instance of the Zscore class with the specified period. /// /// The period over which to calculate the Z-score. /// /// Thrown when period is less than 2. /// <<<<<<< HEAD public Zscore(int period) : base() ======= public Zscore(int period) >>>>>>> dev { if (period < 2) { throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 2 for Z-score calculation."); } Period = period; WarmupPeriod = 2; _buffer = new CircularBuffer(period); Name = $"ZScore(period={period})"; Init(); } /// /// Initializes a new instance of the Zscore class with the specified source and period. /// /// The source object to subscribe to for value updates. /// The period over which to calculate the Z-score. public Zscore(object source, int period) : this(period) { var pubEvent = source.GetType().GetEvent("Pub"); pubEvent?.AddEventHandler(source, new ValueSignal(Sub)); } /// /// Initializes the Zscore instance by clearing the buffer. /// public override void Init() { base.Init(); _buffer.Clear(); } /// /// Manages the state of the Zscore instance based on whether a new value is being processed. /// /// Indicates whether the current input is a new value. protected override void ManageState(bool isNew) { if (isNew) { _lastValidValue = Input.Value; _index++; } } /// /// Performs the Z-score calculation for the current period. /// /// /// The calculated Z-score value for the most recent input in the current period. /// /// /// This method calculates the Z-score using the formula: /// Z = (x - μ) / σ /// where x is the input value, μ is the mean of the period, and σ is the sample standard deviation. /// If there are fewer than 2 data points or if the standard deviation is 0, the method returns 0. /// protected override double Calculation() { ManageState(Input.IsNew); _buffer.Add(Input.Value, Input.IsNew); double zScore = 0; if (_buffer.Count >= 2) { // We need at least 2 data points for Z-score var values = _buffer.GetSpan().ToArray(); double mean = values.Average(); double n = values.Length; double sumSquaredDeviations = values.Sum(x => Math.Pow(x - mean, 2)); double standardDeviation = Math.Sqrt(sumSquaredDeviations / (n - 1)); // Sample standard deviation if (standardDeviation != 0) { // Avoid division by zero zScore = (Input.Value - mean) / standardDeviation; } } IsHot = _buffer.Count >= Period; return zScore; } }