[1] "Over-all rank tests for 1 to k matched continuous data in case-control
studies."

Memoirs of Faculty of Science, Series A, Mathematics, Vol.38, No.1, pp.75-89.
(with T. Yanagawa） 1984

[2] "Semi-parametric method and its efficiency in the analysis of
a case-control study."

Memoirs of Faculty of Science, Series A, Mathematics Vol.40, No.1, pp.19-30.
（with T. Yanagawa） 1986

[3] "Characterization of probability models by an odds ratio in prospective
and retrospective studies."

Communications in Statistics-Theory and Methods, Vol.A15, No.8, pp.2347-2353.
（with T. Ynagawa and K. Nomakuchi）1986

[4] "Invariant U-statistics."

Communications in Statistics-Theory and Methods, Vol.A15, No.11, pp.3253-3263.
（with H. Yamato） 1986

[5] "Competitors of the Wilcoxon signed rank test."

Annals of the Institute of Statistical Mathematics, Vol.39, No.2, Part
A, pp.363-375. 1987

[6] "Edgeworth expansion for one-sample U-statistics."

Bulletin of Informatics and Cybernetics, Vol.22, No.3-4, pp.189-197. 1987

[7] "A lower bound for the normal approximation of U-statistics."

Metrika, Vol.35, Issue 5, pp.255-274. 1988

[8] "Deficiencies of U-statistics of degree 2 under symmetric distributions."

Communications in Statistics-Theory and Methods, Vol.A18, No.1, pp.53-66.
（with H. Yamato） 1989

[9] "Estimation under invariant distributions."

Journal of Statistical Planning and Inference, Vol.22, No.1, pp.55-61.（with
H. Yamato） 1989

[10] "Lower bounds for the normal approximation of a sum of independent
random variables."

The Australian Journal of Statistics, Vol.31, pp.475-485. 1989

[11] "U-statistics and related topics"

Sugaku, pp.205-216. （with H. Yamato） 1991

[12] "On the normal approximation of U-statistics of degree two."

Journal of Statistical Planning and Inference, Vol.27,pp.37-50. 1991

[13] "U-statistics and related topics ."

Sugaku Expositions, Vol.7, pp. 43-57. （with H. Yamato）1994

[14] "On the normal approximations of V- and L-statistics."

Journal of Statistical Planning and Inference, Vol. 42 , pp.291-314. 1994

[15] "On the normal approximations of a studentized U-statistics."

Journal of the Japan Statistical Society, Vol. 25, pp. 19-33. 1995

[16] "A note on biases of jackknife estimators of third central moments."

Communications in Statistics-Theory and Methods, Vol.A25, No.8, pp.1931-1942.
1996

[17] "Edgeworth expansions for functionals of U-statistics."

Kyushu Journal of Mathematics, Vol. 50, pp.311-334. 1996

[18] "Higher order comparisons of jackknife variance estimators."

Journal of Nonparametric Statistics, Vol. 7, pp.35-45. 1996

[19] "An Edgeworth expansion of a linear combination of U-statistics."

Journal of the Japan Statistical Society, Vol. 26, pp.177-195. 1996

[20] "Edgeworth expansions of a studentized U-statistics and a jackknife
estimator of variance."

Journal of Statistical Planning and Inference, Vol. 61, pp.61-84. 1997

[21] "Asymptotic properties of jackknife skewness estimators and Edgeworth
expansions."

Bulletin of Informatics and Cybernetics, Vol. 30, pp. 51-68. 1998

[22] "Asymptotic comparisons of several variance estimators and their
effects for studentizations."

Annals of the Institute of Statistical Mathematics, Vol. 50, pp.451-470,
1998

[23] "An asymptotic representation of a ratio of two statistics and
its applications."

Communications in Statistics-Theory and Methods, Vol.A27, No.2, pp.305-327.
1998

[24] "Mean square errors of variance estimators and their Edgeworth
expansions."

Journal of the Japan Statistical Society, Vol. 28, pp.1-19. 1998

[25] "Higher order relations between Cornish-Fisher expansions and
inversions of saddlepoint approximations ."

Journal of the Japan Statistical Society, Vol. 28, pp.21-38. （with S.I.
Penev） 1998

[26] "Improvement of normal approximation for U-statistics"

Keizaigaku Kenkyu (Kyushu University), Vol.66, pp.87-100. （with Y. Fujioka）
1999

[27] "On the normal approximations of a studentized symmetric statistic."

Mathematica Japonica, Vol. 50, pp.433-449. 1999

[28] "Higher order normalizing transformations for asymptotic U-statistics."

Journal of Statistical Planning and Inference, Vol. 83, pp.47-74. （with
Y. Fujioka） 2000

Correction Vol.87, pp.365-366. 2000

[29] "A weighted-bootstrap approach to bootstrap iteration."

Journal of the Royal Statistical Society ser. B, Vol. 62, Part1 pp.137-144. (with P. Hall) 2000

[30] "Asymptotic representations of skewness estimators of studentized
U-statistics."

Bulletin of Informatics and Cybernetics, Vol.36, pp.91-104. 2004

[31] "An Edgeworth expansion of a convex combination of U-statisitics
based on studentization."

Bulletin of Informatics and Cybernetics, Vol.36, pp.105-130. （with H. Yamato,
K. Toda and T. Nomachi） 2004

[32] "Higher Order Comparisons of Asymptotic Confidence Intervals."

Journal of Statistical Planning and Inference, Vol. 133, pp.359-379. 2005

[33] "Asymptotic representations of ratio statistics and their mean
squared errors."

Journal of the Japan Statistical Society, Vol.35, pp.73-97. 2005

[34] "An Edgeworth expansion and a normalizing transformation for
L-statistics."

Bulletin of Informatics and Cybernetics, Vol.39, pp.25-43. 2007

[35] "Koji momento no nonparametoric suitei" (in Japanese)

Journal of the Japan Statistical Society, Vol. 39, pp.355-367. 2010

[36] "Edgeworth Expansion and Normalizing Transformation of Ratio
Statistics and their Application."

Communications in Statistics-Theory and Methods, Vol.39, pp.1344-1358.
2010

[37] "Edgeworth expansion for the kernel quantile estimator."

Annals of the Institute of Statistical Mathematics, Vol.63, pp.617-644.
（with S.I. Penev） 2011

[38] "Mean squared errors of bootstrap variance estimators for U-statistics."

Bulletin of Informatics and Cybernetics, Vol.43, pp.67-82. （with M. Mizuno）
2011

[39] "Improved confidence intervals for quantiles."

Annals of the Institute of Statistical Mathematics, Vol. 65, pp.167-189.
（with S.I. Penev） 2013

[40] "Improvement of Normal Approximation for Kernel Density Estimator."

Bulletin of Informatics and Cybernetics, Vol.45, pp.11-24. (with S. Umeno)
2013

[41] "Edgeworth Expansion for Kernel Estimators of a distribution
function." Bulletin of Informatics and Cybernetics, Vol.46, pp.1-10.
（with Z. Huang）2014

[42] "On jackknife variance estimator for kernel density estimator
and its application." Bulletin of Informatics and Cybernetics, Vol.47,
pp.1-9. (with A. Nishimoto) 2015

[43] "Asymptotic properties of a kernel type estimator of a density ratio." Bulletin of Informatics and Cybernetics, Vol.48, pp33-4.6 (with T. Moriyama) 2016

[44] "Error Reduction for Kernel Distribution Function Estimators."
Bulletin of Informatics and Cybernetics, Vol.49, pp.53-66.（with Rizky Reza
Fauzi） 2017

[45] "Smoothed nonparametric tests and approximations of $p$-values.''
Annals of the Institute of Statistical Mathematics, Vol.70, pp.969-982.（with
T. Moriyama and M. Liu）2018

[46] "Smoothed alternatives of the two-sample median and Wilcoxon's
rank sum tests.'' Statistics, Vol.52, No.5, pp.1096-1115. (with T. Moriyama）2018

[47] "On direct kernel estimator of density ratio.'' Bulletin of Informatics
and Cybernetics, Vol.50, pp.27-42. (with M. Motoyama）2018

[48] "Asymptotci mean squared error of kernel estimator of excess
distribution function.'' Bulletin of Informatics and Cybernetics, Vol.50,
pp.51-64. （with A. Shimokihara）2018

[49] "New kernel estimators of the hazard ratio and their asymptotic
properties.'' Annals of the Institute of Statistical Mathematics, Vol.72,
pp.187-211. (with T. Moriyama）2020

[50] "Conditional probability density and regression function estimations
with transformation of data.'' Bulletin of Informatics and Cybernetics,
Vol.52, pp.1-25. (with T. Moriyama)2020

[51] "New type of gamma kernel density estimator.'' Journal of the
Korean Statistical Society （with Rizky Reza Fauzi） to appear

[52] "Boundary-free estimators for the mean residual life function
by logarithmic transformation.''（with Rizky Reza Fauzi）submitted