Testing statistical hypotheses with vague data

@article{Grzegorzewski2000TestingSH,
  title={Testing statistical hypotheses with vague data},
  author={Przemyslaw Grzegorzewski},
  journal={Fuzzy Sets and Systems},
  year={2000},
  volume={112},
  pages={501-510}
}
A de nition of fuzzy test for testing statistical hypotheses with vague data is proposed. Then the general method for the construction of fuzzy tests for hypotheses concerning an unknown parameter against one-sided or two-sided alternative hypotheses is shown. This fuzzy test, contrary to the classical approach, leads not to the binary decision: to reject or to accept given null hypothesis, but to a fuzzy decision showing a grade of acceptability of the null and the alternative hypothesis… CONTINUE READING
Highly Influential
This paper has highly influenced 225 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 2,583 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 1,243 extracted citations

2,583 Citations

0100200'98'03'09'15
Citations per Year
Semantic Scholar estimates that this publication has 2,583 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Con dence intervals for the parameters of a linguistic random variable

  • R. Kruse, K. D. Meyer
  • in: J. Kacprzyk, M. Fedrizzi, (Eds.), Combining…
  • 1988
Highly Influential
8 Excerpts

Testing hypotheses in fuzzy environment

  • P. Grzegorzewski, O. Hryniewicz
  • Mathware and Soft Computing 4
  • 1997
3 Excerpts

Statistical tests optimally meeting certain fuzzy requirements on the power function and on the sample size

  • B. F. Arnold
  • Fuzzy Sets and Systems 75
  • 1995
1 Excerpt

Extension of fuzzy hypothesis testing with hybrid data

  • J. Saade
  • Fuzzy Sets and Systems 63
  • 1994
2 Excerpts

A fuzzy statistical test of fuzzy hypotheses

  • N. Watanabe, T. Imaizumi
  • Fuzzy Sets and Systems 53
  • 1993
2 Excerpts

A fuzzy decision problem based on the generalized Neyman–Pearson criterion

  • J.Ch. Son, I. Song, H. Y. Kim
  • Fuzzy Sets and Systems
  • 1992

Fuzzy hypothesis testing with hybrid data

  • J. Saade, H. Schwarzlander
  • Fuzzy Sets and Systems 35
  • 1990
2 Excerpts

A note on the operativeness of Neyman– Pearson tests with fuzzy information

  • R. Casals, M. A. Gil
  • Fuzzy Sets and Systems 30
  • 1989

Similar Papers

Loading similar papers…