@article {
author = {BEHBOODIAN, J. and ASGHARZADEH, A.},
title = {ON THE DISTRIBUTION OF Z-SCORES},
journal = {Iranian Journal of Science and Technology (Sciences)},
volume = {32},
number = {1},
pages = {71-78},
year = {2008},
publisher = {Springer},
issn = {1028-6276},
eissn = {},
doi = {10.22099/ijsts.2008.2245},
abstract = {Let X ,..., Xn 1 be a random sample from a distribution with sample mean X and samplevariance 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 underlyingnormal 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.},
keywords = {Finite exchangeability,grading,outlier test,Quadratic Forms,Thompson's identity,Samuelson's
inequality,Slutsky's theorem},
url = {http://ijsts.shirazu.ac.ir/article_2245.html},
eprint = {http://ijsts.shirazu.ac.ir/article_2245_7c4086e2bf5cb1aaec28c2c0824b1b6e.pdf}
}