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Bahadur Efficiency of the Phi-Divergence Test Statistic

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Soft Methodology and Random Information Systems

Part of the book series: Advances in Soft Computing ((AINSC,volume 26))

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Abstract

In this paper the Bahadur efficiency in the family of ø-divergence statistics for goodness of fit in multinomial populations is studied.

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References

  1. Bahadur, R.R. (1971). Some Limit Theorems in Statistics. Philadelphia Society for Industrial and Applied Mathematics.

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  2. Cressie, N. and Pardo, L. (2002). Phi-Divergence statistics. In: El Shaarawi, A. H. and Piegorich, W. W. (Eds.) Enciclopedia of Envimnmetrics, Vol. 3. Wiley, New York, pp. 1551–1555.

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  3. Cressie, N. and Read, T.R.C. (1984). Multinomial goodness-of-fit tests. Journal of the Royal Statistical Society, Series B 46, 440–464.

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  4. Zografos, K., Ferentinos, K. and Papaioannou, T. (1990). y—divergence statistics: sampling properties, multinomial goodness of fit and divergence tests. Communications in Statistics (Theory and Methods) 19(5),1785–1802.

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  5. Vajda, I. (1989): Theory of Statistical Inference and Information. Kluwer Academic Publishers, Dordrecht.

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Author information

Authors and Affiliations

  1. Department of Statistics and O.R., Complutense University of Madrid, Spain

    Leandro Pardo

Authors
  1. Leandro Pardo
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© 2004 Springer-Verlag Berlin Heidelberg

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Pardo, L. (2004). Bahadur Efficiency of the Phi-Divergence Test Statistic. In: Soft Methodology and Random Information Systems. Advances in Soft Computing, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44465-7_37

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  • DOI: https://doi.org/10.1007/978-3-540-44465-7_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22264-4

  • Online ISBN: 978-3-540-44465-7

  • eBook Packages: Springer Book Archive

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