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Speed and Concentration of the Covering Time for Structured Coupon Collectors
Journal of Applied Probability Abstract Let V be an n-set, and let X be a random variable taking values in the power-set of V. Suppose we are given a sequence of random coupons , where the are independe
The Origin of Status Inequality: A Simulation-Based Study
Gianluca Manzo, Sociology Sorbonne Status hierarchies have the characteristic of being increasingly asymmetric distributions that, however, never turn into winner-take-all structures. In this paper we
Triples of Orthogonal Latin and Youden Rectangles For Small Orders
Journal of Combinatorial Designs, Volume 27, Issue 4, p. 229-250, doi.org/10.1002/jcd.21642 Abstract We have performed a complete enumeration of nonisotopic triples of mutually orthogonal Latin rectangle. Here we will present a census of such triples, classified by various properties, including the order of the autotopism group of the triple. As part of this, we have also achieved the first enumeration of pairwise orthogonal triples of Youden rectangles. We have also studied orthogonal triples of rectangles which are formed by extending mutually orthogonal triples with nontrivial autotopisms one row at a time, and requiring that the autotopism group is nontrivial in each step. This class includes a triple coming from the projective plane of order 8. Here we find a remarkably symmetrical pair of triples of rectangles, formed by juxtaposing two selected copies of complete sets of mutually orthogonal Latin squares of order 4.
