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2023.0.0 - Português

cmoment

central moments of all orders

Syntax

```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 — soma (soma linha, soma coluna) de entradas de um vetor ou matriz
• median — median (row median, column median,...) of vector/matrix/array entries
• stdev — standard deviation (row or column-wise) of vector/matrix entries
• mean — mean of all values, or means along a given dimension
• 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 — standard deviation (row or column-wise) of vector/matrix entries
• stdevf — standard deviation
• variance — variance (and mean) of a vector or matrix (or hypermatrix) of real or complex numbers
• variancef — variance (and mean) of a vector or matrix of frequency-weighted real or complex numbers
• nanstdev — standard deviation (ignoring the NANs).
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