caa a22 4500 477062717 CHVBK 20180405111405.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00049296 doi (NATIONALLICENCE)springer-10.1007/BF00049296 Towards a unification of certain characterizations by conditional expectations [Elektronische Daten] [Caterina Dimaki, Evdokia Xekalaki] The paper presents a characterization of a general family of distributions by the form of the expectation of an appropriately truncated function of the random variable involved. The obtained result unifies results existing in the literature for specific distributions as well as new results that appear for the first time in this paper. A discrete version is also provided unifying existing characterizations of known discrete distributions. The Institute of Statistical Mathematics, 1996 Characterization nationallicence conditional expectation nationallicence Pareto distribution nationallicence exponential distribution nationallicence Weibull distribution nationallicence Burr distribution nationallicence power function distribution nationallicence beta distribution nationallicence uniform distribution nationallicence geometric distribution nationallicence Yule distribution nationallicence Waring distribution nationallicence Dimaki Caterina Department of Statistics, Athens University of Economics and Business, 76 Patission St., 104-34, Athens, Greece aut Xekalaki Evdokia Department of Statistics, Athens University of Economics and Business, 76 Patission St., 104-34, Athens, Greece aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/1(1996-03-01), 157-168 0020-3157 48:1<157 1996 48 10463 https://doi.org/10.1007/BF00049296 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00049296 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dimaki Caterina Department of Statistics, Athens University of Economics and Business, 76 Patission St., 104-34, Athens, Greece aut NATIONALLICENCE 700 1- Xekalaki Evdokia Department of Statistics, Athens University of Economics and Business, 76 Patission St., 104-34, Athens, Greece aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/1(1996-03-01), 157-168 0020-3157 48:1<157 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer