On Characterizations of the Exponential and Geometric Distributions by Expectations
通过期望刻画指数分布与几何分布
This paper presents a characterization of the exponential distribution in terms of the means of the left-truncated values of the random variable concerned. This characterizing property leads to the Cauchy equation just as in the case of the lack of memory characterization. While the latter characterization assumes somewhat less easily accessible information concerning the probability distribution, the former only requires more readily available information regarding the…