cum3 {boot} | R Documentation |

## Calculate Third Order Cumulants

### Description

Calculates an estimate of the third cumulant, or skewness, of a vector. Also, if more than one vector is specified, a product-moment of order 3 is estimated.

### Usage

```
cum3(a, b = a, c = a, unbiased = TRUE)
```

### Arguments

`a` |
A vector of observations. |

`b` |
Another vector of observations, if not supplied it is set to the value of |

`c` |
Another vector of observations, if not supplied it is set to the value of |

`unbiased` |
A logical value indicating whether the unbiased estimator should be used. |

### Details

The unbiased estimator uses a multiplier of `n/((n-1)*(n-2))`

where `n`

is
the sample size, if `unbiased`

is `FALSE`

then a multiplier of `1/n`

is used.
This is multiplied by `sum((a-mean(a))*(b-mean(b))*(c-mean(c)))`

to give the
required estimate.

### Value

The required estimate.

*boot*version 1.3-30 Index]