Characterizations of Certain Doubly Truncated Distribution Based on Order Statistics

[摘要] In this paper, we characterize doubly truncated classes of absolutely continuous distributions by considering the conditional expectation of functions of order statistics. Specific distributions considered as a particular case of the general class of distributions are Weibull, Pareto, Power function, Rayleigh and Inverse Weibull.

[关键词] Double truncated;Order statistics;Conditional expectation;Weibull;Pareto;Rayleigh;Inverse Weibull distributions