An ordering among generalized closeness criteria. (English) Zbl 1142.62322

Cuadras, Carles M. (ed.) et al., Distributions with given marginals and statistical modelling. Papers presented at the meeting, Barcelona, Spain, July 17–20, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0914-3/hbk). 73-79 (2002).
Summary: Within the class of generalized closeness criteria given by R. L. Fountain [Commun. Stat., Theory Methods 29, No. 8, 1865–1883 (2000; Zbl 1023.62019)], a sufficient condition is given for the ordering of a subclass of its members. Examples are presented which demonstrate that this ordering fails in more general case, and that Pitman’s Measure of Closeness is not part of the ordering, even in the presence of the condition.
For the entire collection see [Zbl 1054.62002].


62F10 Point estimation
60E15 Inequalities; stochastic orderings


Zbl 1023.62019