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 Name/Journal: | Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik |
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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