Probabilistic Rounding and Sheppard's Correction

Schneeweiß, Hans and Komlos, John (16. December 2008): Probabilistic Rounding and Sheppard's Correction. Department of Statistics: Technical Reports, No.45

Abstract

When rounded data are used in place of the true values to compute the variance of a variable or a regression line, the results will be distorted. Under suitable smoothness conditions on the distribution of the variable(s) involved, this bias, however, can be corrected with very high precision by using the well-known Sheppard’s correction. In this paper, Sheppard’s correction is generalized to cover more general forms of rounding procedures than just simple rounding, viz., probabilistic rounding, which includes asymmetric rounding and mixture rounding.

• Item Type: Paper (Technical Report)
• Keywords: Rounding, asymmetric rounding, mixture rounding, heaping, profile function, Sheppard’s correction, moments, linear regression
• Subjects: Mathematics, Computer Science and Statistics > Statistics > Technical Reports
• Dewey Classification: 600 Natural sciences and mathematics > 510 Mathematics
• Language: English