# A function to compute weighted ordinal pattern statistics

### Description

Computation of weighted ordinal patterns of a time series. Weights can be generated by a user-specified function (e.g. variance-weighted, see Fadlallah et al 2013).

### Usage

1 | ```
weighted_ordinal_pattern_distribution(x, ndemb)
``` |

### Arguments

`x` |
A numeric vector (e.g. a time series), from which the weighted ordinal pattern distribution is to be calculated |

`ndemb` |
Embedding dimension of the ordinal patterns (i.e. sliding window size). Should be chosen such as length(x) >> ndemb |

### Details

This function returns the distribution of weighted ordinal patterns using the Keller coding scheme, detailed in Physica A 356 (2005) 114-120. NA values are allowed. The function uses old and slow R routines and is only maintained for comparability. For faster routines, see weighted_ordinal_pattern_distribution.

### Value

A character vector of length factorial(ndemb) is returned.

### Author(s)

Sebastian Sippel

### References

Fadlallah, B., Chen, B., Keil, A. and Principe, J., 2013. Weighted-permutation entropy: A complexity measure for time series incorporating amplitude information. Physical Review E, 87(2), p.022911.

### See Also

`weighted_ordinal_pattern_distribution`

### Examples

1 2 | ```
x = arima.sim(model=list(ar = 0.3), n = 10^4)
weighted_ordinal_pattern_distribution(x = x, ndemb = 6)
``` |

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