  Two well-known distributions in the study of permutation statistics are the
Mahonian and Eulerian distributions. Mahonian statistics include the major
index MAJ and the number of inversions INV, while examples of Eulerian
statistics are the number of descents des and excedances exc. Also of interest
are pairs of permutation statistics that have the same joint distribution as
(des, MAJ); these are called Euler Mahonian pairs. In this paper we define a
Stirling statistic as one that is equidistributed with the number of
right-to-left minima rlmin and a Stirling- Euler-Mahonian triple as a triple of
statistics with the same trivariate distribution as (rlmin, des, MAJ). We prove
that several triples involving well-known statistics are
Stirling-Euler-Mahonian. A general bijective technique is demonstrated for any
Mahonian statistic that has a permutation code. Finally, we note several
properties of Stirling-Euler-Mahonian triples that follow from earlier results.
