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namespace QuanTAlib;
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// Excess kurtosis calculated with Sheskin Algorithm
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public class Kurtosis : AbstractBase
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{
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public readonly int Period;
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private CircularBuffer _buffer;
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public Kurtosis(int period) : base()
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{
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if (period < 4)
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{
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throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 4 for kurtosis calculation.");
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}
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Period = period;
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WarmupPeriod = Period - 1;
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_buffer = new CircularBuffer(period);
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Name = $"Kurtosis(period={period})";
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Init();
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}
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public Kurtosis(object source, int period) : this(period)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
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}
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public override void Init()
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{
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base.Init();
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_buffer.Clear();
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}
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_lastValidValue = Input.Value;
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_index++;
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}
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}
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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_buffer.Add(Input.Value, Input.IsNew);
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double kurtosis = 0;
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if (_buffer.Count > 3)
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{
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var values = _buffer.GetSpan().ToArray();
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double mean = values.Average();
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double n = values.Length;
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double s2 = 0;
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double s4 = 0;
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for (int i = 0; i < values.Length; i++)
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{
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double diff = values[i] - mean;
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s2 += diff * diff;
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s4 += diff * diff * diff * diff;
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}
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double variance = s2 / (n - 1);
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// Using the Sheskin Algorithm for kurtosis
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kurtosis = (n * (n + 1) * s4) / (variance * variance * (n - 3) * (n - 1) * (n - 2))
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- (3 * (n - 1) * (n - 1) / ((n - 2) * (n - 3)));
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}
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IsHot = _buffer.Count >= Period;
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return kurtosis;
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}
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}
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