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On Buckley’s approach to fuzzy estimation

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Abstract

In several works, Buckley (Soft Comput 9:512–518, 2005a; Soft Comput 9:769–775 2005b; Fuzzy statistics, Springer, Heidelberg, 2005c) have introduced and developed an approach to the estimation of unknown parameters in statistical models. In this paper, we introduce an improved method for the estimation of parameters for cases in which the Buckley’s approach presents some drawbacks, as for example when the underlying statistic has a non-symmetric distribution.

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References

  • Alex R (2007) Fuzzy point estimation and its application on fuzzy supply chain analysis. Fuzzy Sets Syst 158:1571–1587

    Article  MATH  MathSciNet  Google Scholar 

  • Buckley JJ (2005a) Fuzzy statistics: hypothesis testing. Soft Comput 9:512–518

    Article  MATH  MathSciNet  Google Scholar 

  • Buckley JJ (2005b) Fuzzy statistics: regression and prediction. Soft Comput 9:769–775

    Article  MATH  MathSciNet  Google Scholar 

  • Buckley JJ (2005c) Fuzzy statistics. Springer, Heidelberg

    Google Scholar 

  • Casella G, Berger RL (2001) Statistical inference, 2nd edn. Duxbury Press, CA

  • Falsafain A, Taheri SM, Mashinchi M (2008) Fuzzy estimation of parameters in statistical models. Int J Comp Math Sci 2:79–85

    MATH  MathSciNet  Google Scholar 

  • Govaert G, Nadif M (2006) Fuzzy clustering to estimate the parameters of block mixture models. Soft Comput 10:415–422

    Article  Google Scholar 

  • Lubiano MA, Gil MA (1999) Estimating the expected value of fuzzy random variables in random sampling from finite population. Stat Papers 40:277–295

    Article  MATH  MathSciNet  Google Scholar 

  • Niculescu SP, Viertl R (1992) A comparison between two fuzzy estimators for the mean. Fuzzy Sets Syst 48:341–350

    Article  MathSciNet  Google Scholar 

  • Nguyen HT, Walker EA (2006) A first course in fuzzy logic, 3rd edn. Chapman & Hall CRC, New York

    Google Scholar 

  • Rohatgi VK, Ehsanes Saleh AKM (2001) An introduction to probability and statistics. 2nd edn. Wiley, New York

    MATH  Google Scholar 

  • Taheri SM, Arefi M (2009) Testing fuzzy hypotheses based on fuzzy test statistic. Soft Comput 13:617–625

    Article  MATH  Google Scholar 

  • Viertl R (2006) Univariate statistical analysis with fuzzy data. Comput Stat Data Anal 51:133–147

    Article  MATH  MathSciNet  Google Scholar 

  • Viertl R, Hareter D (2004) Fuzzy information and stochastics. Iranian J Fuzzy Syst 1:43–56

    MATH  MathSciNet  Google Scholar 

  • Wu JW, Tsai TR (2002) Weighted quasi-likelihood estimation based on fuzzy clustering analysis method and dimension reduction technique. Fuzzy Sets Syst 128:353–364

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors would like to thank anonymous referees for their comments on this article. The second author is partially supported by Fuzzy Systems and Applications Center of Excellence at Shahid Bahonar University of Kerman, Iran.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran

    Ali Falsafain

  2. Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    S. Mahmoud Taheri

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  1. Ali Falsafain
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  2. S. Mahmoud Taheri
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Correspondence to S. Mahmoud Taheri.

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Falsafain, A., Taheri, S.M. On Buckley’s approach to fuzzy estimation. Soft Comput 15, 345–349 (2011). https://doi.org/10.1007/s00500-010-0619-6

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  • DOI: https://doi.org/10.1007/s00500-010-0619-6

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