Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Kuriki, Satoshi"'
Autor:
Hwang, Hsien-Kuei, Kuriki, Satoshi
Based on $m$-fold integrated empirical measures, we study three new classes of goodness-of-fits tests, generalizing Anderson-Darling, Cram\'er-von Mises, and Watson statistics, respectively, and examine the corresponding limiting stochastic processes
Externí odkaz:
http://arxiv.org/abs/2404.06040
The B-spline copula function is defined by a linear combination of elements of the normalized B-spline basis. We develop a modified EM algorithm, to maximize the penalized log-likelihood function, wherein we use the smoothly clipped absolute deviatio
Externí odkaz:
http://arxiv.org/abs/2402.07569
Autor:
Kuriki, Satoshi
The expected Euler characteristic (EEC) method is an integral-geometric method used to approximate the tail probability of the maximum of a random field on a manifold. Noting that the largest eigenvalue of a real-symmetric or Hermitian matrix is the
Externí odkaz:
http://arxiv.org/abs/2308.08228
We analyse the numbers of closed paths of length $k\in\mathbb{N}$ on two important regular lattices: the hexagonal lattice (also called $\textit{graphene}$ in chemistry) and its dual triangular lattice. These numbers form a moment sequence of specifi
Externí odkaz:
http://arxiv.org/abs/2306.01462
The distance function to a compact set plays a crucial role in the paradigm of topological data analysis. In particular, the sublevel sets of the distance function are used in the computation of persistent homology -- a backbone of the topological da
Externí odkaz:
http://arxiv.org/abs/2206.01795
The tube method or the volume-of-tube method approximates the tail probability of the maximum of a smooth Gaussian random field with zero mean and unit variance. This method evaluates the volume of a spherical tube about the index set, and then trans
Externí odkaz:
http://arxiv.org/abs/2108.02118
The second-order formula of Minkowski functionals in weakly non-Gaussian fields is compared with the numerical $N$-body simulations. Recently, weakly non-Gaussian formula of Minkowski functionals is extended to include the second-order effects of non
Externí odkaz:
http://arxiv.org/abs/2012.00203
Autor:
Kuriki, Satoshi, Matsubara, Takahiko
The Minkowski functionals, including the Euler characteristic statistics, are standard tools for morphological analysis in cosmology. Motivated by cosmic research, we examine the Minkowski functional of the excursion set for an isotropic central limi
Externí odkaz:
http://arxiv.org/abs/2011.04953
Autor:
Matsubara, Takahiko, Kuriki, Satoshi
The Minkowski functionals are useful statistics to quantify the morphology of various random fields. They have been applied to numerous analyses of geometrical patterns, including various types of cosmic fields, morphological image processing, etc. I
Externí odkaz:
http://arxiv.org/abs/2011.04954
Persistent homology has become an important tool for extracting geometric and topological features from data, whose multi-scale features are summarized in a persistence diagram. From a statistical perspective, however, persistence diagrams are very s
Externí odkaz:
http://arxiv.org/abs/2006.10012