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DEPENDENCE AMONG SPACINGS
2000
Probability in the engineering and informational sciences (Print)
In this paper, we study the dependence properties of spacings+ It is proved that if X 1 , + + + , X n are exchangeable random variables which are TP 2 in pairs and their joint density is log-convex in each argument, then the spacings are MTP 2 dependent+ Next, we consider the case of independent but nonhomogeneous exponential random variables+ It is shown that in this case, in general, the spacings are not MTP 2 dependent+ However, in the case of a single outlier when all except one parameters
doi:10.1017/s0269964800144055
fatcat:4gdykcmtavbjtkllaobgfjgxq4