Exception Of Ones Research Articles

Decentering Modern German History àl'américaine:A Look at the French Historiography

Every good humanities journal emerges from and is produced by a specific scientific community that shapes its content and its style.Central European History(CEH) is no exception. For me, i.e., a French historian of Germany teaching at a Swiss university in Geneva,CEHisthejournal to read in order to follow the more recent and innovative English-language scholarship on the history of Germany and German-speaking countries. Most of the articles published in the journal are written by historians based in the United States or in the United Kingdom (and its dominions), and most of the books that are reviewed originate from the same community, with the notable exception of ones by German authors.

Lower Bounds on Positive L-Statistics

We consider samples of independent random variables with identical possibly continuous distributions, for which we establish optimal positive lower bounds on the expectations of linear combinations of order statistics in units generated by the central absolute moments of various orders, and describe the distributions for which the bounds are attained. We show that the bounds are zero with a possible exception of ones expressed in terms of mean absolute deviation units. We also specify the general results for important examples of the sample maximum, the sample range and Gini mean differences.

Lower bounds on expectations of positive L-statistics based on samples drawn with replacement

We consider the model of samples drawn from finite populations with replacement. For the model, we establish optimal, lower non-negative and upper non-positive bounds on the expectations of linear combinations of order statistics centred about the population mean in units generated by the population central absolute moments of various orders. We show that the bounds tend to zero in increasing populations with a possible exception of ones expressed in terms of the mean absolute deviation units. We also specify the general results for important examples of sample extremes, range and Gini mean differences. The article completes the results of Rychlik [Rychlik, T., 2004, Optimal bounds on L-statistics based on samples drawn with replacement from finite populations. Statistics, 38, 391–412], in which sharp negative lower and positive upper bounds on the combinations were presented for the drawing with replacement scheme.