On Wieand's theorem

W.C.M. Kallenberg; Alex J. Koning

doi:10.1016/0167-7152(94)00214-S

On Wieand's theorem

W.C.M. Kallenberg, Alex J. Koning

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Wieand's theorem on equivalence of limiting approximate Bahadur efficiency and limiting Pitman efficiency is extended in several ways. Conditions on monotonicity and continuity are obviated, composite null hypotheses are incorporated, and the implications of a weaker form of Wieand's Condition III* are investigated.

Original language	English
Pages (from-to)	121-132
Number of pages	12
Journal	Statistics & probability letters
Volume	25
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(94)00214-S
Publication status	Published - 1995

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title = "On Wieand's theorem",

abstract = "Wieand's theorem on equivalence of limiting approximate Bahadur efficiency and limiting Pitman efficiency is extended in several ways. Conditions on monotonicity and continuity are obviated, composite null hypotheses are incorporated, and the implications of a weaker form of Wieand's Condition III* are investigated.",

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AU - Koning, Alex J.

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AB - Wieand's theorem on equivalence of limiting approximate Bahadur efficiency and limiting Pitman efficiency is extended in several ways. Conditions on monotonicity and continuity are obviated, composite null hypotheses are incorporated, and the implications of a weaker form of Wieand's Condition III* are investigated.

U2 - 10.1016/0167-7152(94)00214-S

DO - 10.1016/0167-7152(94)00214-S

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VL - 25

SP - 121

EP - 132

JO - Statistics & probability letters

JF - Statistics & probability letters

IS - 2

ER -

On Wieand's theorem

Abstract

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