Nobumichi SHUTOH 
Nobumichi SHUTOH
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Applied Mathematics
Professor 
Building B, Room 214

Research Field :
Mathematical statistics, Missing data analysis, and
Highdimensional data analysis.


Research Summary :
We consider the statistical hypothesis testing procedures
with missing data. By obtaining Bartletttype correction of
the test statistics, we propose the testing procedures
which perform better even if the sample size is small.
Furthermore, we also extend the abovementioned results
to the case of elliptically contoured distributions.


Primary Publications : 

N. Shutoh .
Effect of nonnormality on tests for a mean vector
with missing data under an elliptically contoured
patternmixture model, Communications in Statistics 
Theory and Methods, 50, 44484469. (2021)

T. Kawasaki, N. Shutoh, T. Seo .
On the asymptotic distribution of $T^2$type statistic
with twostep monotone missing data,
Journal of Statistical Theory and Practice,
12, 657668. (2018)

N. Shutoh, T. Nishiyama, M. Hyodo.
Bartlett correction to the likelihood ratio test for
MCAR with twostep monotone sample, Statistica Neerlandica,
71, 184199. (2017)

S. Takahashi, N. Shutoh .
Tests for parallelism and flatness hypotheses of
two mean vectors in highdimensional settings,
Journal of Statistical Computation and Simulation,
86, 11501165. (2016)

M. Hyodo, N. Shutoh, T. Nishiyama, T. Pavlenko (2015).
Testing blockdiagonal covariance structure for highdimensional data,
Statistica Neerlandica, 69, 460482.
 N. Shutoh .
An asymptotic approximation for EPMC in linear discriminant
analysis based on monotone missing data,
Journal of Statistical Planning and Inference,
142, 110125. (2012)


