J. Leslie et C. Vaneeden, ON A CHARACTERIZATION OF THE EXPONENTIAL-DISTRIBUTION BASED ON A TYPE-2 RIGHT CENSORED SAMPLE, Annals of statistics, 21(3), 1993, pp. 1640-1647
Dufour gives a conjecture concerning a characterization of the exponen
tial distribution based on type 2 right censored samples. This conject
ure, if true, generalizes the characterization based on complete sampl
es of Seshadri, Csorgo and Stephens (1969) and Dufour, Maag and van Ee
den (1984). In this paper it is shown that Dufour's conjecture is true
if the number of censored observations is no larger than (1/3)n - 1,
where n is the sample size. The result has implications for testing fi
t of censored data to the exponential distribution.