Title of article
ON THE DISTRIBUTION OF Z-SCORES
Author/Authors
BEHBOODIAN، J نويسنده Department of Mathematics, Islamic Azad University, Shiraz, I. R. of Iran BEHBOODIAN, J , ASGHARZADEH، A نويسنده Department of Statistics, Faculty of Basic Sciences, Mazandaran University, Babolsar, I. R. of Iran ASGHARZADEH, A
Issue Information
فصلنامه با شماره پیاپی 0 سال 2008
Pages
8
From page
71
To page
78
Abstract
Let X ,..., Xn 1 be a random sample from a distribution with sample mean X and sample
variance S 2. In this paper we consider certain very general properties of the so-called “Z-scores”
X X S i n i ( ? )/ : = 1,...., . A representation theorem is then given for Z-scores obtained from an underlying
normal population, together with a theorem for their limiting distribution as the sample size tends to infinity.
Finally, two applications involving grading and testing for an outlier are presented.
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Serial Year
2008
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Record number
1827436
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