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Sách Spatial Statistics and Spatio-Temporal Data Covariance Functions and Directional Properties

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Sách Spatial Statistics and Spatio-Temporal Data Covariance Functions and Directional Properties

Sách keo gáy, bìa mềm
 
In the spatial or spatio-temporal context,
specifying the correct covariance function is fundamental to obtain
efficient predictions, and to understand the underlying physical process
of interest. This book focuses on covariance and variogram functions,
their role in prediction, and appropriate choice of these functions in
applications. Both recent and more established methods are illustrated
to assess many common assumptions on these functions, such as, isotropy,
separability, symmetry, and intrinsic correlation.After an extensive
introduction to spatial methodology, the book details the effects of
common covariance assumptions and addresses methods to assess the
appropriateness of such assumptions for various data structures.Key
features:An extensive introduction to spatial methodology including a
survey of spatial covariance functions and their use in spatial
prediction (kriging) is given.Explores methodology for assessing the
appropriateness of assumptions on covariance functions in the spatial,
spatio-temporal, multivariate spatial, and point pattern
settings.Provides illustrations of all methods based on data and
simulation experiments to demonstrate all methodology and guide to
proper usage of all methods.Presents a brief survey of spatial and
spatio-temporal models, highlighting the Gaussian case and the binary
data setting, along with the different methodologies for estimation and
model fitting for these two data structures.Discusses models that allow
for anisotropic and nonseparable behaviour in covariance functions in
the spatial, spatio-temporal and multivariate settings.Gives an
introduction to point pattern models, including testing for randomness,
and fitting regular and clustered point patterns. The importance and
assessment of isotropy of point patterns is detailed.Statisticians,
researchers, and data analysts working with spatial and space-time data
will benefit from this book as well as will graduate students with a
background in basic statistics following courses in engineering,
quantitative ecology or atmospheric science.
 
Thể loại:Mathematics
 
Mathematics - Mathematical Statistics
 
Content Type:Sách
 
Năm:2011
 
In lần thứ:1
 
Ngôn ngữ:english
 
Trang:297