We define Dumont’s statistic on the symmetric group Sn to be the function dmc: Sn → N which maps a permutation σ to the number of distinct nonzero letters in code(σ). Dumont showed that this statistic is Eulerian. Naturally extending Dumont’s statistic to the rearrangement classes of arbitrary words, we create a generalized statistic which is again Eulerian. As a consequence, we show that for e...

Sample covariance matrices are also of essential importance in multivariate statistical analysis because many test statistics involve their eigenvalues and/or eigenvectors. The typical example is T 2 statistic, which was proposed by Hotelling [2]. We refer to [1] and [3] for various uses of the T 2 statistic. The T 2 statistic, which is the origin of multivariate linear hypothesis tests and the...

Within the framework of the ‡exible regression model approach proposed by Hamilton (2000), we demonstrate the use of the theory of random ...elds as a building block for a battery of new tests for neglected nonlinearity. The common denominator to all the tests is that they are TR versions of the Lagrange multiplier statistic. The proposed tests are free of unidenti...ed nuisance parameters, con...

There are cultures in which people believe that some objects have magical powers; anthropologists call these objects fetishes. In our society, statistics are a sort of fetish. . Statistics direct our concern; they show us what we ought to worry about and how much we ought to worry. In a sense, the social problem becomes the statistic and, because we treat statistics as true and incontrovertible...

skills of more useful and effective use of time is the key to management and organizations success.organization managers for obtimal use of time and prevention to time consumption, for development of time management, should know how to operate and use the time and exigency of using diamond model. checking and explication of the way of using manager’s time and recognizing of consumption factors,...