DCCA {DFA} | R Documentation |

## Detrended Cross-Correlation Analysis (DCCA)

### Description

Applies the Detrended Cross-Correlation Analysis (DCCA) to nonstationary time series.

### Usage

```
DCCA(file,file2,scale = 2^(1/8),box_size = 4,m=1)
```

### Arguments

`file` |
Univariate time series (must be a vector or data frame) |

`file2` |
Univariate time series (must be a vector or data frame) |

`scale` |
Specifies the ratio between successive box sizes (by default |

`box_size` |
Vector of box sizes (must be used in conjunction with |

`m` |
An integer of the polynomial order for the detrending (by default |

### Details

The Detrended Cross-Correlation Analysis method (DCCA) can be computed in a geometric scale or for different choices of boxes sizes.

### Value

`boxe` |
Size |

`DFA1` |
DFA of the first time series ( |

`DFA2` |
DFA of the second time series ( |

`DCCA` |
Detrended Cross-Correlation function. |

### Note

The time series `file`

and `file2`

must have the same sample size.

### Author(s)

Victor Barreto Mesquita

### References

N. Xu, P. Shang, S. Kamae Modeling traffic flow correlation using DFA and DCCA Nonlinear Dynam., 61 (2010), pp. 207-216

B. Podobnik, D. Horvatic, A. Petersen, H.E. Stanley Cross-correlations between volume change and price change PNAS, 106 (52) (2009), pp. 22079-22084

R. Ursilean, A.-M. Lazar Detrended cross-correlation analysis of biometric signals used in a new authentication method Electr. Electron. Eng., 1 (2009), pp. 55-58

### Examples

```
#The following examples using the database of financial time series
#collected during the United States bear market of 2007-2009.
library(DFA)
data("NYA2008")
data("IXIC2008")
file = NYA2008
file2= IXIC2008
DCCA(file,file2,scale = 2^(1/8),box_size = c(4,8,16),m=1)
# Example with different polynomial fit order.
library(DFA)
data("NYA2008")
data("LSE.L2008")
file = NYA2008
file2= LSE.L2008
DCCA(file,file2,scale = 2^(1/8),box_size = c(4,8,16),m=2)
# Example using different choice of overlapping boxes sizes.
library(DFA)
data("NYA2008")
data("IXIC2008")
file = NYA2008
file2= IXIC2008
DCCA(file,file2,scale = "F",box_size = c(4,8,16),m=1)
```

*DFA*version 1.0.0 Index]