@article{7501b80911fb4740947f2a6487d42dab,
title = "Kurtosis tests for multivariate normality with monotone incomplete data",
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{\textquoteright}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.",
author = "Tomoya Yamada and Romer, {Megan M.} and Richards, {Donald St P.}",
note = "Funding Information: We are grateful to the referees and the associate editor for comments which helped us to improve the manuscript. The research of Richards was also supported by a 2013–2014 sabbatical leave-of-absence and a Romberg Guest Professorship at the Heidelberg University Graduate School for Mathematical and Computational Methods in the Sciences, funded by the German Universities Excellence Initiative grant GSC 220/2. Funding Information: Research of Yamada was supported by a sabbatical leave-of-absence from Sapporo Gakuin University. Research of Romer and Richards was supported in part by National Science Foundation grant DMS-1309808. Publisher Copyright: {\textcopyright} 2014, Sociedad de Estad{\'i}stica e Investigaci{\'o}n Operativa.",
year = "2015",
month = sep,
day = "10",
doi = "10.1007/s11749-014-0423-1",
language = "English (US)",
volume = "24",
pages = "532--557",
journal = "Test",
issn = "1133-0686",
publisher = "Springer New York",
number = "3",
}