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On characterizing the exponential distribution by order statistics. (English) Zbl 0132.39601


Keywords:

statistics
Full Text: DOI

References:

[1] B. Epstein and M. Sobel, ”Life testing,”J. Amer. Statist. Ass., 48 (1954), 486–501. · Zbl 0051.36502 · doi:10.2307/2281004
[2] B. Epstein and M. Sobel, ”Some theorems relevant to life testing from an exponential distribution,”Ann. Math. Statist., 25 (1954), 373–381. · Zbl 0056.38203 · doi:10.1214/aoms/1177728793
[3] T. S. Ferguson, ”A characterization of the exponential distribution,”Ann. Math. Statist., 35 (1964), 1199–1207. · Zbl 0126.35207 · doi:10.1214/aoms/1177703277
[4] M. Fisz, ”Characterization of some probability distribution,”Skand. Aktuarietidskrift, 41 (1958), 65–67. · Zbl 0091.14304
[5] E. S. Pearson, Personal communication.
[6] P. R. Rider, ”Quasi-ranges of samples from an exponential distribution,”Ann. Math. Statist., 30 (1959), 252–254. · Zbl 0089.15601 · doi:10.1214/aoms/1177706385
[7] E. A. Tanis, ”Linear forms in the order statistics from an exponential distribution,”Ann. Math. Statist., 35 (1964), 270–276. · Zbl 0132.39504 · doi:10.1214/aoms/1177703749
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