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Estimation of the variance of sample means based on nonstationary spatial data with varying expected values

Ekström, Magnus and Sjöstedt-deLuna, Sara (2001). Estimation of the variance of sample means based on nonstationary spatial data with varying expected values. 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 ; 90
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Abstract

Subsampling and block resampling methods have been suggested in the literature to
nonparametrically estimate the variance of some statistic computed from spatial data.
Usually stationary data are required. However, in empirical applications, the assump­
tion of stationarity can often be rejected. This paper proposes nonparametric methods to
estimate the variance of sample means based on nonstationary spatial data using subsam­
pling. It is assumed that data is observed on a rectangular lattice in some subregion of
R 2. The kind of data we consider is of the following type: The information in the different
picture elements (pixels) of the lattice are allowed to come from different distributions,
with smoothly varying expected values, or with expected values decomposed additively
into directional components. Furthermore, pixels are assumed to be locally dependent,
and the dependence structure is allowed to differ over the lattice. Consistent variance esti­
mators for sample means, and convergence rates in mean square, are provided under these
assumptions. An example with applications to forestry, using satellite data, is discussed.

Authors/Creators:Ekström, Magnus and Sjöstedt-deLuna, Sara
Title:Estimation of the variance of sample means based on nonstationary spatial data with varying expected values
Series/Journal:Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik (1401-1204)
Year of publishing :2001
Number:90
Number of Pages:18
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:bootstrap, nonidentically distributed variables, nonindependent variables, re­sampling, subsampling
URN:NBN:urn:nbn:se:slu:epsilon-e-518
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-518
ID Code:8831
Department:(S) > Dept. of Forest Resource Management
(NL, NJ) > Dept. of Forest Resource Management
Deposited By: Bo Jonsson
Deposited On:24 May 2012 08:05
Metadata Last Modified:02 Dec 2014 10:50

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