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Bias reduction when data are rounded

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  • Christopher S. Withers
  • Saralees Nadarajah

Abstract

type="main" xml:id="stan12057-abs-0001"> Analytical bias reduction methods are developed for univariate rounded data for the first time. Extensions are given to rounding of multivariate data, and to smooth functionals of several distributions. As a by-product, we give for the first time the relation between rounded and unrounded multivariate cumulants. Estimators obtained by analytical bias reduction are compared with bootstrap and jackknife estimators by simulation.

Suggested Citation

  • Christopher S. Withers & Saralees Nadarajah, 2015. "Bias reduction when data are rounded," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(3), pages 236-271, August.
    • Handle: RePEc:bla:stanee:v:69:y:2015:i:3:p:236-271
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    File URL: http://hdl.handle.net/10.1111/stan.12057
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    References listed on IDEAS

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    1. Wang, B. & Wertelecki, W., 2013. "Density estimation for data with rounding errors," Computational Statistics & Data Analysis, Elsevier, vol. 65(C), pages 4-12.
    2. Weiming Li & Z. D. Bai, 2011. "Analysis of accumulated rounding errors in autoregressive processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 32(5), pages 518-530, September.
    3. Weiming Li & Tianqing Liu & Zhidong Bai, 2012. "Rounded data analysis based on ranked set sample," Statistical Papers, Springer, vol. 53(2), pages 439-455, May.
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