A Mixed Model for Double Checking Fallible Auditors

V.M. Raats, J.J.A. Moors, B.B. van der Genugten

Research output: Working paperDiscussion paperOther research output

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Abstract

The paper discusses the problem of a fallible auditor who assesses the values of sampled records, but may make mistakes.To detect these mistakes, a subsample of the checked elements is checked again, now by an infallible expert. We propose a model for this kind of double check, which takes into account that records are often correct; however, if they are incorrect, the errors can take on many different values - as is often the case in audit practice.The model therefore involves error probabilities as well as distributional parameters for error sizes.We derive maximum likelihood estimators for these model parameters and derive from them an estimator for the mean size of the errors in the population.A simulation study shows that the latter outperforms some other - previously introduced - estimators.
Original languageEnglish
Place of PublicationTilburg
PublisherEconometrics
Number of pages29
Volume2004-82
Publication statusPublished - 2004

Publication series

NameCentER Discussion Paper
Volume2004-82

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Maximum likelihood
Error probability

Keywords

  • auditors
  • maximum likelihood
  • distribution

Cite this

Raats, V. M., Moors, J. J. A., & van der Genugten, B. B. (2004). A Mixed Model for Double Checking Fallible Auditors. (CentER Discussion Paper; Vol. 2004-82). Tilburg: Econometrics.
Raats, V.M. ; Moors, J.J.A. ; van der Genugten, B.B. / A Mixed Model for Double Checking Fallible Auditors. Tilburg : Econometrics, 2004. (CentER Discussion Paper).
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Raats, VM, Moors, JJA & van der Genugten, BB 2004 'A Mixed Model for Double Checking Fallible Auditors' CentER Discussion Paper, vol. 2004-82, Econometrics, Tilburg.

A Mixed Model for Double Checking Fallible Auditors. / Raats, V.M.; Moors, J.J.A.; van der Genugten, B.B.

Tilburg : Econometrics, 2004. (CentER Discussion Paper; Vol. 2004-82).

Research output: Working paperDiscussion paperOther research output

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AB - The paper discusses the problem of a fallible auditor who assesses the values of sampled records, but may make mistakes.To detect these mistakes, a subsample of the checked elements is checked again, now by an infallible expert. We propose a model for this kind of double check, which takes into account that records are often correct; however, if they are incorrect, the errors can take on many different values - as is often the case in audit practice.The model therefore involves error probabilities as well as distributional parameters for error sizes.We derive maximum likelihood estimators for these model parameters and derive from them an estimator for the mean size of the errors in the population.A simulation study shows that the latter outperforms some other - previously introduced - estimators.

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Raats VM, Moors JJA, van der Genugten BB. A Mixed Model for Double Checking Fallible Auditors. Tilburg: Econometrics. 2004. (CentER Discussion Paper).