Efficiency rate and local deficiency of the most powerful tests in the model of contaminacy with general neighbourhoods

Jan Ámos Víšek

Kybernetika (1987)

  • Volume: 23, Issue: 5, page 370-381
  • ISSN: 0023-5954

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Víšek, Jan Ámos. "Efficiency rate and local deficiency of the most powerful tests in the model of contaminacy with general neighbourhoods." Kybernetika 23.5 (1987): 370-381. <http://eudml.org/doc/29034>.

@article{Víšek1987,
author = {Víšek, Jan Ámos},
journal = {Kybernetika},
keywords = {robust testing; efficiency; local deficiency; most powerful tests; model of contaminacy; general neighbourhoods; contamination},
language = {eng},
number = {5},
pages = {370-381},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Efficiency rate and local deficiency of the most powerful tests in the model of contaminacy with general neighbourhoods},
url = {http://eudml.org/doc/29034},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Víšek, Jan Ámos
TI - Efficiency rate and local deficiency of the most powerful tests in the model of contaminacy with general neighbourhoods
JO - Kybernetika
PY - 1987
PB - Institute of Information Theory and Automation AS CR
VL - 23
IS - 5
SP - 370
EP - 381
LA - eng
KW - robust testing; efficiency; local deficiency; most powerful tests; model of contaminacy; general neighbourhoods; contamination
UR - http://eudml.org/doc/29034
ER -

References

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  1. P. J. Huber, Robust estimation of a location parameter, Ann. Math. Statist. 35 (1964), 73-101. (1964) Zbl0136.39805MR0161415
  2. P. J. Huber, A robust version of the probability ratio test, Ann. Math. Statist. 36 (1965), 1753-1758. (1965) Zbl0137.12702MR0185747
  3. H. Rieder, Lest favourable pairs for special capacities, Ann. Statist. 5 (1977), 5, 909-921. (1977) MR0468005
  4. I. Vajda, Motivation, existence and equivariance of D -estimators, Kybernetika 20 (1984), 3, 189-208. (1984) Zbl0558.62026MR0763646
  5. J. Á. Víšek, Influence of contamination level deviations on the test error probabilities, Kybernetika 22 (1986), 6, 449-460. (1986) MR0874714
  6. J. Á. Víšek, Sensitivity of the test error probabilities with respect to the level of contamination in general model of contaminacy, J. Statist. Plann. Inference 14 (1986), 281-299. (1986) MR0859976
  7. J. Á. Víšek, Efficiency rate and local deficiency of Huber’s estimators of location and of α -estimators (in preparation) 
  8. J. Á. Víšek, On reason for introducing means for approximately optimal choice of robust procedure, In: Transaction of the Tenth Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, Vol. B, Academia, Prague 1987, pp. 397-406. (1987) MR1136345

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