caa a22 4500 605518823 CHVBK 20210128100727.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10559-015-9732-y doi (NATIONALLICENCE)springer-10.1007/s10559-015-9732-y Characterization of the Distributions with Atomic Function Densities [Elektronische Daten] [K. Kabanov, V. Kolodyazhny] We consider finite random variables decomposed into the sum of two independent random variables, one of which belongs to the same type of distribution. We investigate the properties of characteristic functions based on the analysis of differential equations and allocate the class of distributions possessing some extreme properties of entropy. Springer Science+Business Media New York, 2015 atomic function nationallicence random variable nationallicence characteristic function nationallicence entropy nationallicence Kabanov K. Kharkiv National Automobile and Highway University, Kharkiv, Ukraine aut Kolodyazhny V. Kharkiv National Automobile and Highway University, Kharkiv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/3(2015-05-01), 410-415 1060-0396 51:3<410 2015 51 10559 https://doi.org/10.1007/s10559-015-9732-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9732-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kabanov K. Kharkiv National Automobile and Highway University, Kharkiv, Ukraine aut NATIONALLICENCE 700 1- Kolodyazhny V. Kharkiv National Automobile and Highway University, Kharkiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/3(2015-05-01), 410-415 1060-0396 51:3<410 2015 51 10559