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Selected Topics of Information Theory and Mathematical Statistics

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Transmitting and Gaining Data

Part of the book series: Foundations in Signal Processing, Communications and Networking ((SIGNAL,volume 11))

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Abstract

First, we notice that problems related to hypotheses testing in statistics can be viewed as extensions of source coding problems.

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References

  1. I. Csiszár, New axiomatic results on inference for inverse problems. Studia Scientarium Mathematicarum Hungarica 26, 207–237 (1991)

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  2. I. Csiszár, I-Divergence geometry of probability distributions and minimization problems. Ann. Probab. 3(1), 146–158 (1975)

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  3. I. Csiszár, Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems. Ann. Stat. 19(4), 2033–2066 (1991)

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Further Reading

  1. P.J. Huber, V. Strassen, Minimax tests and the Neyman-Pearson lemma for capacities. Ann. Stat. 1(2), 251–263 (1973)

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  2. E.L. Lehmann, Testing Statistical Hypotheses (Chapman & Hall, New York, 1959)

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  3. A. Wald, Statistical Decision Functions (Wiley, New York, 1950)

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

    Rudolf Ahlswede

  2. Bielefeld, Germany

    Alexander Ahlswede

  3. Friedrich-Schiller University, Jena, Germany

    Ingo Althöfer

  4. University of Bielefeld, Bielefeld, Germany

    Christian Deppe

  5. Bielefeld University of Applied Sciences, Bielefeld, Germany

    Ulrich Tamm

Authors
  1. Rudolf Ahlswede
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  2. Alexander Ahlswede
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  3. Ingo Althöfer
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  4. Christian Deppe
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  5. Ulrich Tamm
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Corresponding author

Correspondence to Christian Deppe .

Editor information

Editors and Affiliations

  1. Bielefeld, Germany

    Alexander Ahlswede

  2. Faculty Mathematics and Comp. Science, Friedrich-Schiller-University Jena, Jena, Germany

    Ingo Althöfer

  3. Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

    Christian Deppe

  4. Applied Math., Stat., Quant. Methods, Bielefeld University of Appl. Scien, Bielefeld, Germany

    Ulrich Tamm

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Ahlswede, R., Ahlswede, A., Althöfer, I., Deppe, C., Tamm, U. (2015). Selected Topics of Information Theory and Mathematical Statistics. In: Ahlswede, A., Althöfer, I., Deppe, C., Tamm, U. (eds) Transmitting and Gaining Data. Foundations in Signal Processing, Communications and Networking, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-12523-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-12523-7_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12522-0

  • Online ISBN: 978-3-319-12523-7

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