Effect of rounding on expected value and standard deviation | Zendy

Anton Cedilnik | Zendy; Katarina Košmelj | Zendy

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Effect of rounding on expected value and standard deviation

Author(s) -

Anton Cedilnik,

Katarina Košmelj

Publication year - 2005

Publication title -

advances in methodology and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.127

H-Index - 7

eISSN - 1854-0031

pISSN - 1854-0023

DOI - 10.51936/urfp1574

Subject(s) - rounding , standard deviation , mathematics , value (mathematics) , expected value , random variable , variable (mathematics) , statistics , mathematical analysis , computer science , operating system

We prove that the rounded expected value of the rounded random variable differs from the expected value of the original random variable by less then 2δ, where δ is the distance between two neighbouring rounded numbers. The same conclusion holds for standard deviation. Hence, in practice the influence of rounding to expected value and standard deviation is almost negligible.

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