Moment-Based Characterizations of the Exponential Distribution in the Class of Distributions with Monotone Hazard Rate


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Abstract

Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.

About the authors

N. G. Ushakov

Department of Mathematical Sciences, Norwegian University of Science and Technology

Author for correspondence.
Email: ushakov@math.ntnu.no
Norway, Trondheim

V. G. Ushakov

Moscow State University

Email: ushakov@math.ntnu.no
Russian Federation, Moscow

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