3.
Asymptotic expansion for Lack-of-Fit test under nonnormality - Matsumoto, Chieko; Wakaki, Hirofumi
It is shown that the Lack-of-Fit test can be considered as the likelihood ratio test on the mean structure for some linear model. The asymptotic expansion of the null distribution of the test statistic is derived up to order $n^-1$ under nonnormality. A certain robustness against nonnormality is also investigated.
4.
The Teichmüller space of the ideal boundary - Taniguchi, Masahiko
In this paper, we consider an analytic kind of structure on the ideal boundary of a Riemann surface, which is finer than the topological one, and show that the set of the natural equivalence classes of mutually quasiconformally related such structures admits a complex Banach manifold structure.
6.
An algorithm for determining the simplicity of (i, j)-curves on a surface - Homma, Masahira
Chillingworth found an algorithm for determining whether a given element of the fundamental group of a surface contains simple closed curves. We extend the theory to open curves on a punctured surface.
8.
Unitary convolution for arithmetical functions in several variables - Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
In this paper we investigate the ring $A_r(R)$ of arithmetical functions in r variables over an integral domain R with respect to the unitary convolution. We study a class of norms, and a class of derivations on $A_r(R)$. We also show that the resulting metric structure is complete.
10.
Morse functions with sphere fibers - Saeki, Osamu
A smooth closed manifold is said to be an almost sphere if it admits a Morse function with exactly two critical points. In this paper, we characterize those smooth closed manifolds which admit Morse functions such that each regular fiber is a finite disjoint union of almost spheres. We will see that such manifolds coincide with those which admit Morse functions with at most three critical values. As an application, we give a new proof of the characterization theorem of those closed manifolds which admit special generic maps into the plane. We also discuss homotopy and diffeomorphism invariants of manifolds...
13.
Bessel-type functions of matrix variables - Ben Saïd, Salem
In the present work we compute explicitly a certain type of hypergeometric
functions of matrix variables given as an integral of a Gaussian-type kernel. In the
case of one variable, these functions are related to the modified Bessel function of the
third kind.
20.
Developable varieties in positive characteristic - Fukasawa, Satoru
We find a characteristic-free algebraic condition for developability of
uniruled varieties. As an application, we study developable varieties over positive
characteristic fields. In particular, we generalize classification theorem of one parameter
developable ruled varieties to arbitrary characteristic.
1.
