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Title page for ETD etd-03262003-085802


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 spatially

correlated 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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