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The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions. The present work deals with the characterizations of a general class of distributions. These characterizations are based on: (i) a simple relationship between two truncated moments, (ii) truncated moment of certain functions of the n th order statistic, (iii) single truncateddoi:10.2991/jsta.2014.13.3.4 fatcat:u4yuaecvbrernaoy5z6drlykbi