NTCHIKURT

Returns kurtosis of a specified chi distribution.

Syntax

NTCHIKURT(

• N

)

Parameters

• N is a parameter of the distribution $N$ (Positive integer).

Remarks

The kurtosis of the distribution is given as:

$\frac{\mu(4)-4\mu(3)\mu(1)+6\mu(2)\mu^2(1)-3\mu^4(1)}{\sigma^4}-3$
$\mu(r)=\frac{2^{\frac{r}{2}}\Gamma\left(\frac{N+r}{2}\right)}{\Gamma\left(\frac{N}{2}\right)}$

, where $\sigma$ is standard deviation and $\Gamma(\cdot)$ is gamma function.

Example

• The example may be easier to understand if you copy it to a blank worksheet

How to copy an example

1. Create a blank workbook or worksheet.
2. Select the example in the Help topic.

Note  Do not select the row or column headers.

Selecting an example from Help

3. Press CTRL+C.
4. In the worksheet, select cell A1, and press CTRL+V.
5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

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Data Description
8 Value of parameter N
Formula Description (Result)
=NTCHIKURT(A2) Kurtosis of the distribution for the terms above