Scilab 5.4.1
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Scilab help >> Statistics > Measures of Shape > cmoment

# cmoment

central moments of all orders

### Calling Sequence

```mom=cmoment(x,ord)
mom=cmoment(x,ord,'r') or mom=cmoment(x,ord,1)
mom=cmoment(x,ord,'c') or mom=cmoment(x,ord,2)```

### Arguments

x

real or complex vector or matrix

ord

positive integer

### Description

cmoment`(x,ord)` is the central moment or order ord of the elements of `x`. If a third argument of type string `'r'` (or `1`) or `'c'` (or `2`) is used, we get in the first case, a row vector `mom` such that `mom(j)` contains the central moment of order `ord` of the `j` column of `x`. `cmoment(x,ord,'c')` is used in the same way for the central moments in the rows.

### References

Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, J.Wiley & Sons, 1990.

### Examples

```x=[0.2113249 0.0002211 0.6653811;
0.7560439 0.3303271 0.6283918]
mom=cmoment(x,3)
mom=cmoment(x,2,'r')
mom=cmoment(x,3,'c')```

• sum — sum of array elements
• median — median (row median, column median,...) of vector/matrix/array entries
• st_deviation — standard deviation (row or column-wise) of vector/matrix entries
• mean — mean (row mean, column mean) of vector/matrix entries
• meanf — weighted mean of a vector or a matrix
• moment — non central moments of all orders
• nanmean — mean (ignoring Nan's)
• nanmeanf — mean (ignoring Nan's) with a given frequency.
• stdev
• stdevf — standard deviation
• variance — variance of the values of a vector or matrix (or hypermatrix) real or complex
• variancef — standard deviation of the values of a vector or matrix
• nanstdev — standard deviation (ignoring the NANs).
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