Some remarks regarding pitman's closeness | Zendy

de Vaz | Zendy; Milan Merkle | Zendy

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Some remarks regarding pitman's closeness

Author(s) -

de Vaz,

Milan Merkle

Publication year - 2005

Publication title -

publikacija elektrotehnickog fakulteta - serija matematika

Language(s) - English

Resource type - Journals

eISSN - 2406-0852

pISSN - 0353-8893

DOI - 10.2298/petf0516001v

Subject(s) - closeness , estimator , mathematics , econometrics , association (psychology) , statistics , mathematical economics , psychology , mathematical analysis , psychotherapist

We give an equivalent definition of pitman's closeness criterion, in terms of medians of the difference of loss functions. Based on that definition, we present some relations between pitman's closeness and usual decision theoretical framework, then a result which enables comparison of estimators with a presence of a positive or negative association, and a RAO-BLACKWELL type result related to improving estimators by a conditioning.

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