Five ways to fix statistics

Five ways to improve access to care.

One of the fundamental tenets of health care is access. In politics, access is defined as having health insurance, even though access to insurance does not guarantee access to care. HEDIS defines access as getting in to see your doctor at least once per year. A better measure is to ask the patient, “How easy is it for you to get medical care when you need it?” Only about 50 percent of people re...

Five Ways to Simplify Cloud Integration

Fix-euler-mahonian Statistics on Wreath Products

In 1997 Clarke, Han, and Zeng introduced a q-analogue of Euler’s difference table for n! using a key bijection Ψ on symmetric groups. In this paper we extend their results to the wreath product of a cyclic group with the symmetric group. By generalizing their bijection Ψ we prove the equidistribution of the triple statistics (fix, exc, fmaj) and (fix, exc, fmaf) on wreath products, where “fix”,...

Fix-Mahonian Calculus, II: Further statistics

Using classical transformations on the symmetric group and two transformations constructed in Fix-Mahonian Calculus I, we show that several multivariable statistics are equidistributed either with the triplet (fix,des,maj), or the pair (fix,maj), where " fix, " " des " and " maj " denote the number of fixed points, the number of descents and the major index, respectively.

Predisposed to Spirituality : five ways to observe in children