Fuzzy statistics: hypothesis testing

Fuzzy statistics: hypothesis testing

Our method of estimation of parameters in statistics uses a set of confidence intervals producing a triangular shaped fuzzy number for the estimator. Using this fuzzy estimator in hypothesis testing produces a fuzzy test statistic and fuzzy critical values in fuzzy hypothesis testing. We show how th...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2005-07, Vol.9 (7), p.512-518
1. Verfasser: Buckley, James J.
Format: Artikel
Sprache:eng
Schlagworte:
Confidence intervals
Fuzzy sets
Fuzzy systems
Null hypothesis
Statistical analysis
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Zusammenfassung:Our method of estimation of parameters in statistics uses a set of confidence intervals producing a triangular shaped fuzzy number for the estimator. Using this fuzzy estimator in hypothesis testing produces a fuzzy test statistic and fuzzy critical values in fuzzy hypothesis testing. We show how these fuzzy sets may be used to derive the usual conclusion of: (1) reject the null hypothesis, or (2) do not reject the null hypothesis.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-004-0368-5