Three Characterizations of Exponential Distribution Involving Median of Sample of Size Three
Tóm tắt
In this paper three new characterizing theorems of exponential distribution are presented. They are based on equidistribution of some functions of order statistics. All of them include the median of sample of size three.
Tài liệu tham khảo
M. Ahsanullah and G.G. Hamedani, Exponential distribution: Theory and Methods (NOVA Science, New York, 2010).
B.C. Arnold and J.A. Villasenor, Exponential characterizations motivated by the structure of order statistics in samples of size two, Stat Probab Lett 83(2) (2013), 596–601.
S. Chakraborty and G.P. Yanev, Characterization of exponential distribution through equidistribution conditions for consecutive maxima, J Stat Appl Pro 2(3) (2013), 237–242.
J. Galambos and S. Kotz, Characterizations of Probability Distributions, (Springer-Verlag, Berlin-Heidelberg-New York, 1978).
G.P. Yanev and S. Chakraborty, Characterizations of exponential distribution based on sample of size three, Pliska Stud Math Bulgar 23 (2013), 237–244.