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150324s1983 xx |||||o 00| ||eng c |
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|a 10.2307/1402734
|2 doi
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|a (DE-627)JST041659325
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|a (JST)1402734
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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1 |
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|a Becker, Niels
|e verfasserin
|4 aut
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|a On Cox's Criterion for Discriminating between Alternative Ancillary Statistics
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|c 1983
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
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|a Online-Ressource
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|a Properties of Cox's criterion for choosing between alternative ancillary statistics are examined. It is verified that, according to this criterion, it is always better to condition on a maximal ancillary statistic. An example reveals that the criterion given by Cox (1971), slightly extended in its application, may prefer an ancillary statistic that is not contained in the minimal sufficient statistic. However, in certain cases where a conditionally boundedly complete sufficient statistic exists no such preference can arise. /// Les propriétés du critère de Cox pour choisir une parmi différentes statistiques ancillaires sont considérées. On vérifie que, d'après ce critère, il est toujours préférable de conditionner à partir d'une statistique ancillaire maximale. On montre par un example que le critère de Cox (1971), légèrement étendu dans son application, peut préférer une statistique ancillaire qui n'est pas fonction de la statistique exhaustive minimale. Cependant dans certains cas où une statistique exhaustive complète conditionnellement bornée existe, une telle préférence ne peut exister.
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|a Copyright 1983 International Statistical Institute
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|a Ancillary statistic
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| 650 |
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|a Conditional inference
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| 650 |
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|a Information
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| 650 |
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|a Sampling theory approach to statistics
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| 650 |
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|a Sufficiency
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Measures of variability
|x Statistical variance
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| 650 |
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4 |
|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Thought processes
|x Reasoning
|x Inference
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical inferences
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Measures of variability
|x Statistical variance
|x Fisher information
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
|x Probability distributions
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| 655 |
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4 |
|a research-article
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| 700 |
1 |
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|a Gordon, Ian
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t International Statistical Review / Revue Internationale de Statistique
|d Blackwell Publishing Ltd
|g 51(1983), 1, Seite 89-92
|w (DE-627)327815280
|w (DE-600)2045049-7
|x 17515823
|7 nnns
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|g volume:51
|g year:1983
|g number:1
|g pages:89-92
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|u https://www.jstor.org/stable/1402734
|3 Volltext
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|u https://doi.org/10.2307/1402734
|3 Volltext
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|d 51
|j 1983
|e 1
|h 89-92
|