Research theme for competitive and other funds (17):
2020 - 2025 非可換確率空間における分布特性量の変形と独立性の対応
2014 - 2020 Deformation of Fisher information and entropy in non-commutative probability spaces
2009 - 2014 非可換確率空間における確率分布の変形に関する研究
2005 - 2009 Deformations of independence on non-commutative probability spaces and deformed Fock spaces
2002 - 2005 Deformation of independences in non-commutative probability spaces
2001 - 2004 Tauberian theorems of exponential type and its applications to probability theory
1997 - 1999 Non-linear Analysis and Dynamical System
1997 - 1998 STUDIES ON D-MODULES DERIVED FROM CONFLUENT HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
1996 - 1997 STUDY OF SELF-SIMILAR PROCESSES
1995 - 1996 既約作用素因子環の構成に関する研究
1994 - 1995 有限次元環の可換図式から構成される既約部分作用素因子環
1995 - 1995 点過程の方法による多変数確率過程の研究
1994 - 1994 点過程の方法による関数型極限定理の研究
1994 - 1994 フラクタルな境界を持つ領域での境界値問題
1994 - 1994 Bessel関数系とJonesの指数理論
1993 - 1993 順序を保存する作用素の解析
1990 - 1990 条件付尤度に基づく推論の拡張
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Papers (37):
Nobuhiro Asai, Hiroaki Yoshida. Two parameterized deformed Poisson type operator and the combinatorial moment formula. Journal of Mathematical Analysis and Applications. 2025. 543. 1. 128888
Nobuaki Obata, Aurel I. Stan, Hiroaki Yoshida. Meixner random variables and their quantum operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2024. 27
Nobuhiro Asai, Hiroaki Yoshida. Combinatorial aspects of weighted free Poisson random variables. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2024. 27. 03
Nobuhiro Asai, Hiroaki Yoshida. Deformed Gaussian operators on weighted q-Fock spaces. Journal of Stochastic Analysis. 2020. 1. 4. 06-8pages
Ayako Hasegawa, Hiroaki Yoshida. Time Series Data Analysis by Using Random Matricies and Free Cumulants. IPSJ SIG Notes. 2013. 2013. 11. 1-4
KAWAKUBO Hideko, YOSHIDA Hiroaki. Elimination of redundant features by Kernel Methods and Random Matrix Theory. 2013. 112. 452. 69-76
Yoshida Hiroaki. The $q$-Meixner self-adjoint operators on the $q$-deformed Fock space (Mathematical Studies on Independence and Dependence Structure : A Functional Analytic Point of View). RIMS Kokyuroku. 2012. 1819. 183-192
SHIRAKAWA Seiko, YOSHIDA Hiroaki. Estimation of two dimensional nonlinear discriminant curves by bagging method. IPSJ SIG Notes. 2009. 2009. 19. 61-64
Yoshida Hiroaki. A canonical random variable for the $q$-deformed moments-cumulants formula (Trends in Infinite Dimensional Analysis and Quantum Probability). RIMS Kokyuroku. 2002. 1278. 194-209