id: 06100804
dt: j
an: 06100804
au: Berrendero, José R.; Cárcamo, Javier
ti: Tests for stochastic orders and mean order statistics.
so: Commun. Stat., Theory Methods 41, No. 7-9, 1497-1509 (2012).
py: 2012
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: 
ut: convex order; dilation order; dispersive order; DMRL; exponential
    distribution; HNBUE; hypothesis testing; NBUE; order statistics; total
    time on test transform order; Weibull distribution
ci: 
li: doi:10.1080/03610926.2010.543303
ab: Summary: The aim of this article is to emphasize the fact, not observed
    previously in the literature, that many discrepancy measures used in
    tests related to different stochastic orders can be expressed as
    expectations of order statistics. In this way, we provide a new meaning
    to the corresponding test statistics which allows us to understand
    better, and potentially improve, the testing procedures. As
    illustration, we consider tests to detect overdispersion with respect
    to a specific probability model. In this setting, a test for the
    Weibull distribution is discussed in detail.
rv: