Description Major functions Toy example functions References Examples

The package cope computes and plots CoPE sets defined in Sommerfeld, Sain and
Schwartzman (2015) for 2D functions. CoPE sets for
a real-valued target function *μ(s)* on a two-dimensional domain
are designed to bound the excursion set
*{μ(s) >= c}* from above and below with a predefined probability.
The target
function can be a parameter in spatially
indexed linear regression *Y(s)=X*b(s)+ ε(s)*, where *s*
is the spatial location, *X* is a known *n* by *p* design matrix,
*ε(s)* is an error field and *Y(s)* is the observed data.

`ComputeCope`

Computes CoPE sets for 2D data.`PlotCope`

Plots CoPE sets.

`ToySignal`

Generates a toy signal.`ToyNoise1`

,`ToyNoise2`

,`ToyNoise3`

Generates realizations of toy noise fields.

M. Sommerfeld, S. Sain and A. Schwartzman. Confidence regions for excursion sets in asymptotically Gaussian random fields, with an application to climate. Preprint, 2015.

1 2 3 4 5 6 7 8 9 10 11 12 | ```
# An example using the ToySignal and the Toy Noise1 of this package.
# Set sample size.
n = 30
# Generate n realizations of the toy noise field.
Data = ToyNoise1(n = n)
# Add the toy signal to the noise.
Data$z = Data$z + rep(ToySignal()$z, n)
# Compute the CoPE sets.
CopeSet = ComputeCope(Data,level=4/3, mu=ToySignal()$z)
# Plot the result.
PlotCope(CopeSet)
``` |

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