Schur properties of convolutions of gamma random variables

Sufficient conditions for comparing the convolutions of heterogeneous gamma random variables in terms of the usual stochastic order are established. Such comparisons are characterized by the Schur convexity properties of the cumulative distribution function of the convolutions. Some examples of the practical applications of our results are given

European Association of Cardiothoracic Anesthesiology and Intensive Care (EACTAIC) Fellowship Curriculum: Second Edition.

International audienceThis document represents the first update of the Cardiothoracic and Vascular Anaesthesia Fellowship Curriculum of the European Association of Cardiothoracic Anaesthesiology and Intensive Care. After obtaining feedback from exit interviews with fellows in training, graduate fellows, and program directors, 2 modified online Delphi procedures with questionnaires were conducted. A consensus was reached when two-thirds of responding committee members gave green or yellow ratings on a traffic light system, and >70% indicated strong agreement or agreement on a 5-point Likert scale. The new regulations include the following: (1) more flexibility in the fellows` rotation, as long as the total number of days, rotations, and cases are completed during the training year; (2) recommendation for strict compliance with national working-time guidelines; (3) no extension of fellowship training to compensate for annual and/or sick leave, unless the required minimum number of cases and rotations are not reached; (4) interruption of fellowship training for >12 months is allowed for personal or medical reasons; (5) introduction of a checklist for quantitative assessment of standard clinical skills; (6) recommendations for a uniform structure of exit interviews; (7) possibility of a 1-month training rotation in a postanesthesia care unit instead of an intensive care unit; and (8) provided all other requirements have been met, the allowance of progression from the basic training year to the advanced fellowship training year without first passing the transesophageal echocardiography examination