Let y be observation vector in the usual linear model with expectation Aβ and covariance matrix known up to a multiplicative scalar, possibly singular. A linear statistic aTy is called invariant estimator for a parametric function ϕ=cTβ if its MSE depends on β only through ϕ. It is shown that aTy is admissible invariant for ϕ, if and only if, it is a BLUE of ϕ, in the case when ϕ is estimable with zero variance, and it is of the form kϕˆ, where k∈⟨0,1⟩ and ϕˆ is an arbitrary BLUE, otherwise. This result is used in the one- and two-way ANOVA models. Our paper is self-contained and accessible, also for non-specialists.
Christian Hartmann, Thomas Vordermeyer, Othmar Plöckinger, and Roman Töppel (eds.). Hitler, Mein Kampf: Eine kritische Edition. Munich and Berlin: Institut für Zeitgeschichte, 2016, vols 1-2, 947 + 1019 pp., ISBN 978-3-9814052-3-1. With Edith Raim, Pascal Trees, Angelika Reizle, and Martina Seewald-Mooser. Includes illustrations, maps, a list of all known translations of Mein Kampf before 1945, a list of abbreviations, a detailed bibliography in three parts (before 1932, 1933-45, after 1945), and four indexes (a biographical index and indexes of persons, places, and subjects).In the form of an essay, the author comments here on the 2016 critical edition of Hitler’s Mein Kampf (1925-26), edited by a team of historians from the Institute of Contemporary History in Munich, with additional assistance from others. He contemplates the nature and importance of this book and discusses its author and his meaning in the history of twentieth-century central Europe. He then discusses some of the ideas of Mein Kampf, and clarifi es the historical context of the work, returning to the circumstances that led to its being written and published. He also discusses some of Hitler’s fellow travellers in the Nazi movement, who were of importance for this key work. The author brings up episodes in Hitler’s life, and pays particular attention to his still unclear transformation from an apolitical soldier into a zealous antisemite and political agitator of exceptional rhetorical skill, who was able to bewitch the German people and become their Führer. The author also discusses the diffi culties that the editors of this critical edition had to struggle with, and he praises their work as utterly solid and astonishingly thorough, particularly the commentaries in the huge critical apparatus. The author concludes by discussing reactions both to the fi rst edition of Mein Kampf and to this critical edition, and he discusses various attempts to publish a Czech edition.
The method of cellular immobilization and perfusion was applied to adipocytes. The lipolytic effect of isoprénaline, whose action is produced as a result of receptor-drug interaction, was followed. An agarose solution kept at at 37 °C was mixed 1:1 with the cell suspension. Thereafter, adipocytes were immobilized in the agarose threads. The lipolytic effect of 0.1 ml of isoprénaline (1x10~4 mol/1), that was rapidly introduced to the cell perfusion inlet in a non-recirculating system, was monitored by assessing glycerol production. The immobilized and perfused adipocytes exhibited significant lipolytic activity. After reaching the maximum effect, 0.1 ml of propranol (lxl 0-3 mol/1) that was applied to the bioreactor inlet, abolished the isoprénaline effect. The present data demonstrate the potential applicability of immobilized perfused adipocytes for various kinds of studies.