Any unit Frechet max-stable process can be arbitrarly well approximated by a max-linear model by taking sufficiently large and suitable functions .

# Max-stable processes

# Conditional max-stable simulations

# Latent Variable

# Copula approaches

# Miscellaneous

# References

# Reference Manual

# What is a max-linear model?

A unit Frechet max-linear process is defined by

where are
independent unit Frechet random variables
and are
non-negative deterministic functions such that

Any unit Frechet max-stable process can be arbitrarly well approximated by a max-linear model by taking sufficiently large and suitable functions .

Any unit Frechet max-stable process can be arbitrarly well approximated by a max-linear model by taking sufficiently large and suitable functions .

# Function "condrmaxstab": Performs conditional simulations for max-stable processes

Since the
functions
are deterministics, Wang and Stoev [2011] proposed an efficient
algorithm to generate conditional simulations from a max-linear
model and thus approximate conditional simulations from a
max-stable process.

However this approach has some drawbacks since it is not clear how to find appropriate functions . Therefore the only available model is currently the (discretized) Smith model for which

where
is the zero mean (multivariate) normal density with covariance
matrix ,
are appropriately chosen points
in
and is a
constant ensuring unit Frechet margins.

However this approach has some drawbacks since it is not clear how to find appropriate functions . Therefore the only available model is currently the (discretized) Smith model for which