qrPwlm {cdfquantreg} | R Documentation |

## Probability Weighted L-moment Skewness and Kurtosis

### Description

Calculate the skew and kurtosis statistics based on probability weighted moments, via simulation method.

### Usage

```
qrPwlm(x, n = NULL, mu = NULL, sigma = NULL, fd = NULL, sd = NULL)
```

### Arguments

`x` |
The vector of values for the calculation of Skewness and Kurtosis. |

`n` |
The number of samples drawn in the simulation. The higher this value, the greater accuracy. |

`mu` |
vector of means. |

`sigma` |
vector of standard deviations. |

`fd` |
A string that specifies the parent distribution. |

`sd` |
A string that specifies the sub-family distribution. |

### Details

This function computes the L-moment measures of skew and kurtosis, which may be computed via linear combinations of probability-weighted moments (Greenwood, Landwehr, Matalas and Wallis, 1979).

### Value

The tau3(skew) and tau4(kurtosis) values of the L-moment.

### References

Greenwood, J. A., Landwehr, J. M., Matalas, N. C., & Wallis, J. R. (1979). Probability weighted moments: definition and relation to parameters of several distributions expressable in inverse form. Water Resources Research, 15(5), 1049-1054.

### Examples

```
qrPwlm(n = 1000, mu = 0.5, sigma = 1, fd = 't2', sd = 't2')
```

*cdfquantreg*version 1.3.1-2 Index]