### Abstract

Estimates of the number of degrees of freedom (dof) of the 700 hPa Northrn Hemisphere extratropical wintertime daily and time average circulation patterns are presented using two statistical methods. In the first method, it is assumed that the distribution of the mean square distances between the circulation patterns and the climate mean follows a χ^{2} distribution. The other, newly developed hyperspheres method compares the local density properties in the empirical data to density in independently and identically distributed (iid) normal distributions with different number of dof. The advantages of the hyperspheres method as compared to GPM are: 1) no systematic negative bias is present in the dof estimates; 2) the edge effect is eliminated; 3) no scaling is necessary. -from Author

Original language | English |
---|---|

Title of host publication | Tellus, Series A |

Pages | 457-472 |

Number of pages | 16 |

Volume | 47 A |

Edition | 4 |

Publication status | Published - 1995 |

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### ASJC Scopus subject areas

- Earth and Planetary Sciences(all)
- Environmental Science(all)
- Engineering(all)

### Cite this

*Tellus, Series A*(4 ed., Vol. 47 A, pp. 457-472)

**Degrees of freedom in Northern Hemisphere circulation data.** / Tóth, Z.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Tellus, Series A.*4 edn, vol. 47 A, pp. 457-472.

}

TY - CHAP

T1 - Degrees of freedom in Northern Hemisphere circulation data

AU - Tóth, Z.

PY - 1995

Y1 - 1995

N2 - Estimates of the number of degrees of freedom (dof) of the 700 hPa Northrn Hemisphere extratropical wintertime daily and time average circulation patterns are presented using two statistical methods. In the first method, it is assumed that the distribution of the mean square distances between the circulation patterns and the climate mean follows a χ2 distribution. The other, newly developed hyperspheres method compares the local density properties in the empirical data to density in independently and identically distributed (iid) normal distributions with different number of dof. The advantages of the hyperspheres method as compared to GPM are: 1) no systematic negative bias is present in the dof estimates; 2) the edge effect is eliminated; 3) no scaling is necessary. -from Author

AB - Estimates of the number of degrees of freedom (dof) of the 700 hPa Northrn Hemisphere extratropical wintertime daily and time average circulation patterns are presented using two statistical methods. In the first method, it is assumed that the distribution of the mean square distances between the circulation patterns and the climate mean follows a χ2 distribution. The other, newly developed hyperspheres method compares the local density properties in the empirical data to density in independently and identically distributed (iid) normal distributions with different number of dof. The advantages of the hyperspheres method as compared to GPM are: 1) no systematic negative bias is present in the dof estimates; 2) the edge effect is eliminated; 3) no scaling is necessary. -from Author

UR - http://www.scopus.com/inward/record.url?scp=0029412398&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029412398&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0029412398

VL - 47 A

SP - 457

EP - 472

BT - Tellus, Series A

ER -