Characterizations of distributions by moment properties of sums of records and successive maxima

We consider the estimation problem for expectations of random variables that are sums of records and successive maxima. The corresponding upper bounds and characterizations of source distributions are obtained in the case where these bounds are attained, Bibliography: 4 titles. Translated from Zapiski Nauchnykh Seminarov; POMI, Vol. 361, 2008, pp. 138–144.