  This paper addresses a sampling procedure for estimating extensions of the
random arrival rule to those bankruptcy situations where there exist a priori
unions. It is based on simple random sampling with replacement and it adapts an
estimation method of the Owen value for transferable utility games with a
priori unions, especially useful when the set of involved agents is
sufficiently large. We analyse the theoretical statistical properties of the
resulting estimator as well as we provide some bounds for the incurred error.
Its performance is evaluated on two well-studied examples in literature where
this allocation rule can be exactly obtained. Finally, we apply this sampling
method to provide a new quota system for the milk market in Galicia (Spain) to
check the role of different territorial structures when they are taken as a
priori unions. The resulting quotas estimator is also compared with two
classical rules in bankruptcy literature.
