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Type of Document Dissertation Author Agarwal, Prasheen Kumar, Author's Email Address pkagarwa@stat.ncsu.edu URN etd-03262003-085802 Title Bootstrapping of Spatially Correlated Data Degree PhD Graduate Program Statistics Advisory Committee
Advisor Name Title Dr. Montserrat Fuentes Committee Chair Dr. Margery Overton Committee Co-Chair Dr. Bibhuti Bhattacharya Committee Member Dr. David Dickey Committee Member Dr. Dennis Boos Committee Member Keywords
- Bootstrap
- Correlated Data
Date of Defense 2003-02-26 Availability unrestricted Abstract The application of the bootstrap to spatiallycorrelated data has not been studied as widely
as its application to time series data. This is
a challenging problem since it is difficult to
preserve the correlation structure of the data
while implementing the bootstrap method. Kunsch
(1989), Politis and Romano(1993, Liu and Singh(1992)
have suggested bootstrapping methods for higher
dimensional data. We are proposing a new
bootstrapping method for spatial data and are
studying the properties of the estimators for the
mean and the semi-variogram under our method. We
demonstrate the performance and usefulness of this
method by a simulation study. We will also show
consistency and derive asymptotic distributional
properties of the estimators. As an applicaiton
we are studying the problem of modeling shoreline
erosion along the coast of North Carolina and we
apply our method in an effort to model the
underlying correlation structure and build a
complete model for the shoreline erosion process.
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