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It is shown that every random closed set X in Rd,
taking its realizations in the extended convex ring, is (up to equivalence)
the union set of a po'int process Y of convex particles with the
same i...
Snell's optimization problem for sequences of convex compact valued random sets
Snell's optimization problem sequences of convex valued random sets
2009/9/21
A random set analogue of the Snell problem is presented.
In the original Snell's problem one observes a sequence of random
variables (t,), say a gambler's capital at successive games. If the gambler...
ASSOCIATION CRITERIA FOR M-INFINITELY-DIVISIBLE AND U-INFINITELY-DIVISIBLE RANDOM SETS
Association infinite association M-infinitedivisibility U-infinite-divisibility
2009/9/18
We study random convex compact sets infinitely divisible
with respect to the Minkowski addition and establish a sufficient condition
for their association as well as a necessary and sufficient condi...
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions
Random Sets Boundaries Oriented Distance Functions
2010/3/18
Shape estimation and object reconstruction are common problems in image analysis. Mathematically,viewing objects in the image plane as random sets reduces the problem of shape estimation to inference ...
QQ plots，Random sets and data from a heavy tailed distribution
Regular variation Hausdorff metric random sets QQ plots
2010/4/27
The QQ plot is a commonly used technique for informally deciding whether a univariate random
sample of size n comes from a specified distribution F. The QQ plot graphs the sample quantiles against th...