Constructions using only a straightedge and compass are basic tools in any geometer's toolbox. We show how to construct an elliptic straightedge and compass in the Klein Disk model of (single) elliptic geometry, using only a Euclidean compass and straightedge.
We solve a class of identification problems for nonparametric and semiparametric models when the endogenous covariate is discrete with unbounded support. Then we proceed with an approach that resolves a polynomial basis problem for the above class of discrete distributions, and for the distributions given in the sufficient condition for...
For the probabilistic model of shuffling by random transpositions we provide a coupling construction
with the expected coupling time of order C*n*log(n), where C is a moderate constant. We enlarge the
methodology of coupling by including intuitive non-Markovian coupling rules. We discuss why a typical
Markovian coupling is not always...