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Determining Whether Two Data Sets are from the Same Distribution

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 79))

Abstract

This paper presents two Bayesian alternatives to the chi-squared test for determining whether a pair of categorical data sets were generated from the same underlying distribution. It then discusses such alternatives for the Kolmogorov- Smirnov test, which is often used when the data sets consist of real numbers.

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References

  1. D. Lindley, Introduction to probability and statistics 2, Cambridge University Press. (1965).

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  2. W.H. Press et al, Numerical Recipes in C, Cambridge University Press. (1992).

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  3. D.R. Wolf, Mutual Information as a Bayesian Measure of Independence, send email to “comp-gas@xyz.lanl.gov” with subject” get 9511002”.

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  4. D.H. Wolpert, D.R. Wolf, Estimating functions of probability distributions from a finite set of samples. Physical Review E, in press. (1995).

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© 1996 Springer Science+Business Media Dordrecht

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Wolpert, D.H. (1996). Determining Whether Two Data Sets are from the Same Distribution. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_32

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  • DOI: https://doi.org/10.1007/978-94-011-5430-7_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6284-8

  • Online ISBN: 978-94-011-5430-7

  • eBook Packages: Springer Book Archive

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