Statistical Papers

, Volume 52, Issue 4, pp 971–977 | Cite as

Expectation of a uniform random variable with uniform observation errors after selection of the highest observations

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Regular Article
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Abstract

In selection processes of a random variable with random observation errors, the crucial variable is the conditional expectation of the target variable given the sum of the observations. An example is the selection of the most talented young researchers for tenure track. This paper derives an explicit expression for this conditional expectation for the case that both the target variable and the observation errors have a uniform, but different, distribution.

Keywords

Uniform distribution Selection Conditional expectation Observation error Research career 

Mathematics Subject Classification (2000)

62E15 

Notes

Acknowledgements

I would like to thank Ludo Waltman of CWTS and an anonymous referee for comments that improved the presentation.

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

Reference

  1. Sadooghi-Alvandi SM, Nematollahi AR, Habibi R (2009) On the distribution of the sum of independent uniform random variables. Stat Pap 50: 171–175MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Centre for Science and Technology Studies (CWTS)Leiden UniversityLeidenThe Netherlands

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