Kurtosis tests for multivariate normality with monotone incomplete data

Tomoya Yamada, Megan M. Romer, Donald St P. Richards

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We consider the problem of testing multivariate normality when the data consist 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 provide an application to a well-known data set on cholesterol measurements.

Original languageEnglish (US)
Pages (from-to)532-557
Number of pages26
JournalTest
Volume24
Issue number3
DOIs
StatePublished - Sep 10 2015

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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