Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series A, Pt. 2, 226--232

ON THE DISTRIBUTION OF ECCENTRICITY

By

RATAN DASGUPTA, *Indian Statistical Institute*

SUMMARY. Displacement of the centre of a circular cross-section of a processed job from its ideal position is termed as eccentricity. For a particular type of processing viz. Shaping of jobs by metal removal, it is shown that the distribution of eccentricity is an extreme value distribution unlike the popular belief of a chi-distribution (+ve square root of chi-square distribution) with 2 d.f. Some data sets are also analysed.

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*AMS subject classification.* 62E15,62N10, 62E20

*Key words and phrases*. Eceentricity, extreme value distribution, chi-distribution, ovality, dial gauge