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@@ -1,16 +1,27 @@
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namespace QuanTAlib;
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// Excess kurtosis calculated with Sheskin Algorithm
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/// <summary>
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/// Calculates excess kurtosis using the Sheskin Algorithm.
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/// Measures the "tailedness" of the probability distribution of a real-valued random variable.
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/// </summary>
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public class Kurtosis : AbstractBase
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{
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private readonly int Period;
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private readonly CircularBuffer _buffer;
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/// <summary>
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/// Initializes a new instance of the Kurtosis class.
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/// </summary>
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/// <param name="period">The number of data points to consider for calculation.</param>
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/// <exception cref="ArgumentOutOfRangeException">
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/// Thrown when the period is less than 4.
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/// </exception>
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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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throw new ArgumentOutOfRangeException(nameof(period),
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"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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@@ -19,18 +30,30 @@ public class Kurtosis : AbstractBase
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Init();
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}
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/// <summary>
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/// Initializes a new instance of the Kurtosis class with a data source.
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/// </summary>
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/// <param name="source">The source object that publishes data.</param>
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/// <param name="period">The number of data points to consider.</param>
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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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/// <summary>
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/// Resets the Kurtosis indicator to its initial state.
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/// </summary>
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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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/// <summary>
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/// Manages the state of the indicator.
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/// </summary>
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/// <param name="isNew">Indicates if the current data point is new.</param>
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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@@ -40,6 +63,17 @@ public class Kurtosis : AbstractBase
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}
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}
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/// <summary>
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/// Performs the kurtosis calculation.
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/// </summary>
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/// <returns>
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/// The calculated excess kurtosis. Positive for heavy-tailed distributions,
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/// negative for light-tailed distributions.
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/// </returns>
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/// <remarks>
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/// Uses the Sheskin Algorithm for kurtosis calculation.
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/// Requires at least 4 data points for a valid calculation.
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/// </remarks>
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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@@ -65,7 +99,7 @@ public class Kurtosis : AbstractBase
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double variance = s2 / (n - 1);
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// Using the Sheskin Algorithm for kurtosis
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// Sheskin Algorithm
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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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