Medgyessy Pál: Decomposition of superpositions of density functions and discrete distributions - Disquisitiones mathematicae Hungaricae 8. (Budapest, 1977)
PÁL MEDGYÉSSY DECOMPOSITION OF SUPERPOSITIONS OF DENSITY FUNCTIONS AND DISCRETE DISTRIBUTIONS The decomposition of superpositions of density functions originated in the 1920s from N. Sen’s work on the fine structure of a prominent line in the spectrum of hydrogen. The microphotometric profile of the line, with its unknown number of optically unresolved components, afforded an interesting example of a superposition; the problem of disentangling the components, numbering them, and determining their individual forms was similarly a typical example of decomposition. Since then the technique has found applications in such widely differing subjects as spectroscopy, nuclear physics, biology, mathematical statistics and systems identification. This, the first substantial monograph devoted to it exclusively, should be of use to a wide variety of research workers. Dr Pál Medgyessy has worked since 1951 at the Institute for Mathematical Research of the Hungarian Academy of Sciences. His main interests have always been specialized areas of probability theory, such as the problem of decomposition considered in the present book, unimodality, the properties of density functions, etc. He has also investigated problems in graph theory and numerical analysis and has given attention to the design and construction of mathematical instruments. He is a member of the János Bolyai Mathematical Society. AKADÉMIAI KIADÓ PUBLISHING HOUSE OF THE HUNGARIAN ACADEMY OF SCIENCES BUDAPEST ISBN 963 05 0 071 X