Title: Statistical inference for extreme value analysis Authors:  Alexandros Karagrigoriou - University of The Aegean (Greece) [presenting]
Ioannis Mavrogiannis - Universite Centrale Mediterranee (France)
Ilia Vonta - National Technical University of Athens (Greece)
Georgia Papasotiriou - National Technical University of Athens (Greece)
Abstract: Log-concavity and log-convexity play a key role in various scientific fields, especially in those where the distinction between exponential and non-exponential distributions is necessary for inferential purposes. A testing procedure for the tail part of a distribution, which can be used for the distinction between exponential and non-exponential distributions, is introduced. The conspiracy and catastrophe principles are initially used to establish a characterization of (the tail part of) the exponential distribution, which is one of the main contributions of the present work, leading the way for the construction of the new test of fit. The proposed test and its implementation are thoroughly discussed, and an extended simulation study has been undertaken to clarify issues related to its implementation and explore the extent of its capabilities. A real data case is also investigated.