Ekström, Magnus and Belyaev, Yuri
(2001).
On the estimation of the distribution of sample means based on nonstationary 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
[Report]

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Abstract
Two different methods of estimating the distribution of sample means based on nonstationary 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 nonparametric estimator of variance is provided. The developed methods can be applied in assessing accuracy of statistical inference for spatial data. Key words: resampling, mdependent random variables, estimating distributions, spatial data on integer lattices.
Authors/Creators:  Ekström, Magnus and Belyaev, Yuri 

Title:  On the estimation of the distribution of sample means based on nonstationary spatial data 
Series/Journal:  Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik (14011204) 
Year of publishing :  2001 
Number:  89 
Number of Pages:  21 
Place of Publication:  Umeå 
Publisher:  Institutionen för skoglig resurshushållning, Sveriges lantbruksuniversitet 
ISSN:  14011204 
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, mdependent random variables, estimating distributions, spatial data on integer lattices 
URN:NBN:  urn:nbn:se:slu:epsilone517 
Permanent URL:  http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilone517 
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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