AbstractGoodman and Pollack have asked to estimate the probabilities of order types by using a uniformly distributed random generator on the unit interval. We provide solutions to this question, and we apply these methods for estimating the probability for various combinatorial types of polytopes with up to 8 points in dimension 3. Our investigation also confirms a classification result in oriented matroid theory (Bokowski and Richter-Gebert)
AbstractIn the usual approach for characterizing the binary probabilities induced by rankings, one e...
Let $P$ be a set of $n$ random points chosen uniformly in the unit square. In this paper, we examine...
AbstractThe class of problems involving the random generation of combinatorial structures from a uni...
AbstractGoodman and Pollack have asked to estimate the probabilities of order types by using a unifo...
We establish the following two main results on order types of points in general position in the plan...
Abstract. A permutation σ describing the relative orders of the first n iter-ates of a point x under...
Let R = {R1,R2,....,RM} be an ordered set of M elements where Ri<Rj whenever i<j. Let π be the set o...
We describe a combinatorial model which encompasses the enumeration of many types of ordered structu...
Recurrence relationships among the distribution functions of order statistics of independent, but no...
Amonotone distribution P over a (partially) ordered domain has P (y) ≥ P (x) if y ≥ x in the order....
We apply ideas from the theory of limits of dense combinatorial structures to study order types, whi...
Amonotone distribution P over a (partially) ordered domain has P (y) ≥ P (x) if y ≥ x in the order....
AbstractWe describe a combinatorial model which encompasses the enumeration of many types of ordered...
We give characterizations of the uniform distribution in terms of moments of order statistics when t...
Statistical methods based on nonparametric and distribution-free procedures require the use of order...
AbstractIn the usual approach for characterizing the binary probabilities induced by rankings, one e...
Let $P$ be a set of $n$ random points chosen uniformly in the unit square. In this paper, we examine...
AbstractThe class of problems involving the random generation of combinatorial structures from a uni...
AbstractGoodman and Pollack have asked to estimate the probabilities of order types by using a unifo...
We establish the following two main results on order types of points in general position in the plan...
Abstract. A permutation σ describing the relative orders of the first n iter-ates of a point x under...
Let R = {R1,R2,....,RM} be an ordered set of M elements where Ri<Rj whenever i<j. Let π be the set o...
We describe a combinatorial model which encompasses the enumeration of many types of ordered structu...
Recurrence relationships among the distribution functions of order statistics of independent, but no...
Amonotone distribution P over a (partially) ordered domain has P (y) ≥ P (x) if y ≥ x in the order....
We apply ideas from the theory of limits of dense combinatorial structures to study order types, whi...
Amonotone distribution P over a (partially) ordered domain has P (y) ≥ P (x) if y ≥ x in the order....
AbstractWe describe a combinatorial model which encompasses the enumeration of many types of ordered...
We give characterizations of the uniform distribution in terms of moments of order statistics when t...
Statistical methods based on nonparametric and distribution-free procedures require the use of order...
AbstractIn the usual approach for characterizing the binary probabilities induced by rankings, one e...
Let $P$ be a set of $n$ random points chosen uniformly in the unit square. In this paper, we examine...
AbstractThe class of problems involving the random generation of combinatorial structures from a uni...
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