Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Kazuki Okamura"'
Autor:
Kazuki Okamura1 kazukio@shinshu-u.ac.jp
Publikováno v:
Real Analysis Exchange. 2020, Vol. 45 Issue 1, p29-72. 43p.
Autor:
Kazuki Okamura
Publikováno v:
Aequationes mathematicae. 95:629-637
This paper deals with functional equations in the form of $f(x) + g(y) = h(x,y)$ where $h$ is given and $f$ and $g$ are unknown. We will show that if $h$ is a Borel measurable function associated with characterizations of the uniform or Cauchy distri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99f2ef7dc0ecc35ef64856cf3ee5f751
http://hdl.handle.net/10297/00028267
http://hdl.handle.net/10297/00028267
Autor:
Kazuki OKAMURA1
Publikováno v:
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Apr2018, Vol. 94 Issue 4, p31-35. 5p.
Autor:
Frank Nielsen, Kazuki Okamura
We prove that the $f$-divergences between univariate Cauchy distributions are all symmetric, and can be expressed as strictly increasing scalar functions of the symmetric chi-squared divergence. We report the corresponding scalar functions for the to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f34f79f4c2c907fc645c77643ceff9e3
http://arxiv.org/abs/2101.12459
http://arxiv.org/abs/2101.12459
Autor:
Kazuki Okamura, Frank Nielsen
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030802080
GSI
GSI
We prove that all f-divergences between univariate Cauchy distributions are symmetric, and can be expressed as functions of the chi-squared divergence. This property does not hold anymore for multivariate Cauchy distributions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a2ea4b46bbd5c973768b3c608604ba0
https://doi.org/10.1007/978-3-030-80209-7_86
https://doi.org/10.1007/978-3-030-80209-7_86
Autor:
Daniel I. McSkimming, Lauren Nina Peralta, Kazuki Okamura, Jessy J. Alexander, Anthony Chang, Alexander Jacob, Deja Pegues
Publikováno v:
Brain research. 1765
Systemic lupus erythematosus (lupus) is a global health problem where 20–80% patients display cognitive problems and central nervous system (CNS) dysfunction. Early diagnosis and treatment of lupus remains a clinical challenge. Exercise improves ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::129737377be0385df4a2f0415f2d7f12
https://pubmed.ncbi.nlm.nih.gov/33852888
https://pubmed.ncbi.nlm.nih.gov/33852888
Autor:
Kazuki Okamura
We give two new simple characterizations of the Cauchy distribution by using the M\"obius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model.
Comment: 9 pages, to appear in S
Comment: 9 pages, to appear in S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::872b78d6c79138d4347ba938257dfe3e
Autor:
Kazuki Okamura
We consider the range of the simple random walk on graphs with spectral dimension two. We give a form of strong law of large numbers under a certain uniform condition, which is satisfied by not only the square integer lattice but also a class of frac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e66e2dcce5dfc049f83121d83a0ff2f
http://arxiv.org/abs/1903.07990
http://arxiv.org/abs/1903.07990
Publikováno v:
The Journal of Immunology. 206:13.14-13.14
The complement system is a powerful arm of the innate immune system. Complement factor H (CFH) is a critical regulator of the complement system and CFH abnormalities have been implicated in diseases such as dense deposit disease, atypical hemolytic s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99a0505e678e454946636cb7b442e586
https://doi.org/10.4049/jimmunol.206.supp.13.14
https://doi.org/10.4049/jimmunol.206.supp.13.14
Autor:
Kazuki Okamura
Publikováno v:
Statistics & Probability Letters. 163:108797
We give an equivalence-singularity criterion for infinite products of Cauchy measures under simultaneous shifts of the location and scale parameters. Our result is an extension of Lie and Sullivan's result giving an equivalence-singularity criterion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5836b141c9714753950804624642dd10
https://doi.org/10.1016/j.spl.2020.108797
https://doi.org/10.1016/j.spl.2020.108797