Ekström, Magnus and Belyaev, Yuri
(2001).
*On the estimation of the distribution of sample means based on non-stationary spatial data.*
Umeå:
(S) > Dept. of Forest Resource Management

(NL, NJ) > Dept. of Forest Resource Management, Sveriges lantbruksuniversitet.
Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik
; 89

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## Abstract

Two different methods of estimating the distribution of sample means based on non-stationary spatially indexed data {Xi : i E I}, where I is a finite subset of the integer lattice 71}, are presented. The information in the different cells in the lattice are allowed to come from different distributions, but with the same expected value or with expected values that can be decomposed additively into directional components. Furthermore, neighboring lattice cells are assumed to be dependent, and the dependence structure is allowed to differ over the lattice. It will be shown under such rather general conditions that the distribution of the sample mean can be estimated by resampling, as well as by a normal approximation for which a non-parametric estimator of variance is provided. The developed methods can be applied in assessing accuracy of statistical inference for spatial data. Key words: resampling, m-dependent random variables, estimating distributions, spatial data on integer lattices.

Authors/Creators: | Ekström, Magnus and Belyaev, Yuri |
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Title: | On the estimation of the distribution of sample means based on non-stationary spatial data |

Series/Journal: | Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik (1401-1204) |

Year of publishing : | 2001 |

Number: | 89 |

Number of Pages: | 21 |

Place of Publication: | Umeå |

Publisher: | Institutionen för skoglig resurshushållning, Sveriges lantbruksuniversitet |

ISSN: | 1401-1204 |

Language: | English |

Publication Type: | Report |

Full Text Status: | Public |

Agris subject categories.: | U Auxiliary disciplines > U10 Mathematical and statistical methods |

Subjects: | (A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics (A) Swedish standard research categories 2011 > 4 Agricultural Sciences > 401 Agricultural, Forestry and Fisheries > Forest Science |

Agrovoc terms: | statistical methods, linear models, data analysis, sampling |

Keywords: | resampling, m-dependent random variables, estimating distributions, spatial data on integer lattices |

URN:NBN: | urn:nbn:se:slu:epsilon-e-517 |

Permanent URL: | http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-517 |

ID Code: | 8826 |

Department: | (S) > Dept. of Forest Resource Management (NL, NJ) > Dept. of Forest Resource Management |

Deposited By: | Bo Jonsson |

Deposited On: | 24 May 2012 07:58 |

Metadata Last Modified: | 02 Dec 2014 10:50 |

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