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When does the expectation of a ratio equal the ratio of expectations?

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Abstract

In this paper we investigate the behaviour of a ratio of random variables and try to find conditions under which, this expectation equals the ratio of expectations.

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References

  • Basu, D. (1955) “On statistics independent of a complete sufficient statistic”, Sankhya, 15, 377–380.

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  • Durbin, J & Watson, G.S. (1950) “Testing for serial correlation in least squares regression I“, Biometrika, 37, 409–428.

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  • Rao, C.R. (1973) Linear statistical inference and its applications, second edition, John Wiley, New York.

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Authors and Affiliations

  1. Institute of Actuarial Science and Econometrics, University of Amsterdam, Roetersstraat 11, NL-1018 WB, Amsterdam, The Netherlands

    Risto Heijmans

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  1. Risto Heijmans
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Heijmans, R. When does the expectation of a ratio equal the ratio of expectations?. Statistical Papers 40, 107–115 (1999). https://doi.org/10.1007/BF02927114

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  • DOI: https://doi.org/10.1007/BF02927114

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