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Kurtosis Tests for Multivariate Normality with Monotone Incomplete Data

Statistics Theory 2014-11-27 v1 Statistics Theory

Abstract

We consider the problem of testing multivariate normality when the data consists of a random sample of two-step monotone incomplete observations. We define for such data a generalization of Mardia's statistic for measuring kurtosis, derive the asymptotic non-null distribution of the statistic under certain regularity conditions and against a broad class of alternatives, and give an application to a well-known data set on cholesterol measurements.

Keywords

Cite

@article{arxiv.1411.7060,
  title  = {Kurtosis Tests for Multivariate Normality with Monotone Incomplete Data},
  author = {Tomoya Yamada and Megan M. Romer and Donald St. P. Richards},
  journal= {arXiv preprint arXiv:1411.7060},
  year   = {2014}
}

Comments

20 pages

R2 v1 2026-06-22T07:12:27.616Z