Graphical major indices

Graphical Major Indices

A generalization of the classical statistics \maj" and \inv" (the major index and number of inversions) on words is introduced, parame-terized by arbitrary graphs on the underlying alphabet. The question of characterizing those graphs that lead to equi-distributed \inv" and \maj" is posed and answered. R esum e: On introduit une g en eralisation des statistiques classiques que sont \maj" et \in...

2 3 Ju n 19 94 GRAPHICAL MAJOR INDICES

A generalization of the classical statistics “maj” and “inv” (the major index and number of inversions) on words is introduced, parameterized by arbitrary graphs on the underlying alphabet. The question of characterizing those graphs that lead to equi-distributed “inv” and “maj” is posed and answered. Résumé: On introduit une généralisation des statistiques classiques que sont “maj” et “inv” (l...

Major Indices and Generating Systems

A classical result of MacMahon shows that the length function and the major index are equidistributed over the symmetric group. A long standing open problem is to extend the notion of major index and MacMahon identity to other groups. A partial solution was given in [3] and [5], where this result was extended to classical Weyl groups. In this paper, it is proved that various permutation groups ...

Graphical Abstracts

Daily Prediction of Major Stock Indices from Textual WWW Data

We predict stock markets using information contained in articles published on the Web. Mostly textual articles appearing in the leading and the most influential financial newspapers are taken as input. From those articles the daily closing values of major stock market indices in Asia, Europe and America are predicted. Textual statements contain not only the effect (e.g., stocks down) but also t...