References
B. Epstein and M. Sobel, “Life testing,”J. Amer. Statist. Ass., 48 (1954), 486–501.
B. Epstein and M. Sobel, “Some theorems relevant to life testing from an exponential distribution,”Ann. Math. Statist., 25 (1954), 373–381.
T. S. Ferguson, “A characterization of the exponential distribution,”Ann. Math. Statist., 35 (1964), 1199–1207.
M. Fisz, “Characterization of some probability distribution,”Skand. Aktuarietidskrift, 41 (1958), 65–67.
E. S. Pearson, Personal communication.
P. R. Rider, “Quasi-ranges of samples from an exponential distribution,”Ann. Math. Statist., 30 (1959), 252–254.
E. A. Tanis, “Linear forms in the order statistics from an exponential distribution,”Ann. Math. Statist., 35 (1964), 270–276.
Additional information
This research has been supported in part by the National Science Foundation under Grant No. G-19126 at the University of Minnesota.
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Basu, A.P. On characterizing the exponential distribution by order statistics. Ann Inst Stat Math 17, 93–96 (1965). https://doi.org/10.1007/BF02868158
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DOI: https://doi.org/10.1007/BF02868158