R: Minkowski distance.

MinkowskiDistance {TSdist} | R Documentation

## Minkowski distance.

### Description

Computes the Minkowski distance between two numeric vectors for a given p.

### Usage

    MinkowskiDistance(x, y, p)

### Arguments

`x` | Numeric vector containing the first time series.
`y` | Numeric vector containing the second time series.
`p` | A strictly positive integer value that defines the chosen L_p norm.

### Details

The Minkowski distance is computed between the two numeric series using the following formula:

D=√[p]{(x_i-y_i)^p)}

The two series must have the same length and `p` must be a positive integer value. This distance is calculated with the help of the `dist` function of the `proxy` package.

### Value

`d` | The computed distance between the pair of series.

### Author(s)

Usue Mori, Alexander Mendiburu, Jose A. Lozano.

### References

David Meyer and Christian Buchta (2015). proxy: Distance and Similarity Measures. R package version 0.4-14. http://CRAN.R-project.org/package=proxy

### See Also

This function can also be invoked by the wrapper function `LPDistance`.

Furthermore, to calculate this distance measure using `ts`, `zoo` or `xts` objects see `TSDistances`. To calculate distance matrices of time series databases using this measure see `TSDatabaseDistances`.

### Examples

    # The objects example.series1 and example.series2 are two
    # numeric series of length 100 contained in the TSdist package.

    data(example.series1)
    data(example.series2)

    # For information on their generation and shape see help
    # page of example.series.

    help(example.series)

    # Compute the Minkowski distance between them:

    MinkowskiDistance(example.series1, example.series2, p=3)

[Package TSdist version 3.6 Index]