Order preserving property of moment estimators

Details Order preserving property of moment estimators Order preserving property of moment estimators

2011-08-17

arxiv.org/abs/1108.3586v3

Mathematics

Statistics Theory

Scientific paper

Balakrishnan and Mi [1] considered order preserving property of maximum likelihood estimators. In this paper there are given conditions under which the moment estimators have the property of preserving stochastic orders. There is considered property of preserving for usual stochastic order as well as for likelihood ratio order. Mainly, sufficient conditions are given for one parameter family of distributions and also for exponential family, location family and scale family.

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