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Unbiased Excess Kurtosis

Measure sample tail weight relative to a normal distribution.

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Your numbers

Local calculations. Results are estimates, not professional advice.

Excess kurtosis

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Use consistent units. The result follows the assumptions you enter.

Formula

G₂=n(n+1)Σ[(x−x̄)/s]⁴/[(n−1)(n−2)(n−3)]−3(n−1)²/[(n−2)(n−3)]

Measure sample tail weight relative to a normal distribution.

Worked example

Observations
1, 2, 3, 4, 5
Excess kurtosis
-1.2

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 137186d44644 · Example checked:

Methodology

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