基本情報 |
■ 学歴
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広島大学 理学研究科 数学専攻 博士課程修了 博士(理学)
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■ 専門分野
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■ 教育・研究紹介
【教育】確率・統計などの授業を担当しており、教員養成大学の学生としてふさわしい学力を身につけさせることを目標にしています。
【研究】確率論を中心に進めています。理論と応用の両方に関心があり、確率的見地から有限構造の調査を行ったり、大数の法則や中心極限定理などの極限定理を調べたりしています。
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研究活動 |
■ 最近の研究課題・キーワード
応用数学、統計数学 (キーワード:確率論、極限定理、ランダムウォーク、確率的ゲーム)
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■ 著書・論文歴
1.
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著書
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確率・統計 (共著) 2017/10
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2.
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論文
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The lost boarding pass problem: converse results The Mathematical Gazette 107,pp.234-240 (共著) 2023/07
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3.
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論文
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Characterisation of equalisation problems via random walks The Mathematical Gazette 106(565),pp.61-67 (単著) 2022/03
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4.
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論文
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Large deviations for super-heavy tailed random walks Statistics & Probability Letters 180(109240),pp.1-7 (単著) 2022/01
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5.
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論文
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Approximations for the Feller games The Mathematical Gazette 105,pp.539-543 (単著) 2021/11
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6.
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論文
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Buffon's needle on a square lattice The Mathematical Gazette 104(561),pp.543-545 (共著) 2020/11
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7.
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論文
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Limit theorems for super-heavy tailed random variables with truncation: Application to the super-Petersburg game Bull. Inst. Math. Acad. Sinica (N.S.) 15(2),pp.123-141 (単著) 2020/06
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8.
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論文
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Coupon collector's problem with unlike probabilities J. Classical Anal. 14(2),pp.177-180 (単著) 2019/04
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9.
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論文
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Exact laws of large numbers for independent Pareto random variables Bulletin of the Institute of Mathematics Academia Sinica (New Series) 12(4),pp.325-338 (単著) 2017/12
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10.
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論文
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A note on the asymptotics of the maxima for the St. Petersburg game Stat. Prob. Lett. 129,pp.284-287 (単著) 2017/10
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11.
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論文
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Weak laws of large numbers for weighted independent random variables with infinite mean Stat. Prob. Lett., 109(2016),124-129頁 (単著) 2016/02
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12.
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論文
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Limit theorems for nonnegative independent random variables with truncation Acta Math. Hunga., (2015), 145(1),1-16頁 (単著) 2015/02
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13.
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論文
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Limit distributions of generalized St. Petersburg games Stat. Prob. Lett., 96 (2015),307-314頁 (単著) 2015/01
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14.
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論文
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Another Probabilistic Proof of a Binomial Identity Fibonacci Quart. 52(2, (2014)),139-140頁 (単著) 2014/05
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15.
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論文
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The number of collisions for the occupancy problem with unequal probabilities Adv. Appl. Prob. 46(1., (2014)),168-185頁 (単著) 2014/03
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16.
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論文
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Limit theorems for a generalized Feller game J. Appl. Prob. 50(1, (2013)),54-63頁 (共著) 2013/03
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17.
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論文
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Integral transforms that preserve Schur convexity with an application to occupancy problem with collisions Proc. 2011 Second International Conference on Networking and Computing (2011),pp.352-359 (単著) 2011/12
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18.
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論文
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Approximating the Longest Path Length of a Stochastic DAG by a Normal Distribution in Linear Time Journal of Discrete Algorithms, 7(4, (2009)),pp.420-438 (共著) 2009/12
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19.
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論文
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Necklace processes via Polya urns J. Appl. Prob. 46(1, (2009)),284-295頁 (単著) 2009/03
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20.
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論文
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A Poisson approximation for an occupancy problem with collisions J. Appl. Prob. 45(2, (2008)),430-439頁 (単著) 2008/06
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21.
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論文
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Collision Probability for Occupancy Problem Stat. Prob. Lett. 78((2008)),1929-1932頁 (単著) 2008/02
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22.
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論文
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A coupon collector's problem with bonuses Discrete Mathematics and Theoretical Computer Science AG((2006)),215-224頁 (共著) 2006/09
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23.
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論文
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On the expected time for Herman's probabilistic self-stabilizing algorithm Theoret. Comp. Sci. 349(3, (2005)),475-483頁 (単著) 2005/12
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24.
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論文
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Some Upper Bounds on Expected Agreement Time of a Probabilistic Local Majority Polling Game Carleton Scientific 11((2001)),pp.293-304 (共著) 2001/06
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25.
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論文
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A Probabilistic Local Majority Polling Game on Weighted Directed Graphs with an Application to the Distributed Agreement Problem Networks 35(No. 4, (2000)),pp.266-273 (共著) 2000/06
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26.
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論文
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Probabilistic Local Majority Voting for the Agreement Problem on Finite Graphs Lecture Notes in Computer Science 1627((1999)),pp.330-338 (共著) 1999/07
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27.
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論文
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Pianigiani-Yorke measures for non-Hoelder continuous potentials Hiroshima Mathematical Journal 28(No. 1, (1998)),pp.95-111 (単著) 1998/03
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28.
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論文
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An approximation of Hausdorff dimensions of generalized cookie-cutter Cantor sets Hiroshima Mathematical Journal 27(No. 3, (1997)),pp.467-475 (単著) 1997/11
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29.
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論文
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On the Julia sets of rational functions of degree two with two real parameters Hiroshima Mathematical Journal 26(No. 2, (1996)),pp.253-275 (共著) 1996/07
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5件表示
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全件表示(29件)
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■ 学会発表
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2018/07 |
Laws of large numbers for independent Pareto random variables with infinite mean(12th International Vilnius Conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics)
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2. |
2017/06 |
The asymptotics of the maxima for the distribution of the St. Petersburg game(The 10th international conference on Extreme Value Analysis)
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3. |
2016/07 |
Weak laws of large numbers for weighted independent random variables with infinite mean(World Congress in Probability and Statistics)
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4. |
2014/08 |
Limit theorems for nonnegative independent random variables with truncation(The International Congress of Mathematicians Seoul)
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5. |
2012/07 |
The number of collisions for the occupancy problem( 8th World Congress in Probability and Statistics)
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6. |
2006/09 |
A coupon collector's problem with bonuses(Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities )
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5件表示
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全件表示(6件)
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■ 研究シーズ集
1.
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確率モデルとその応用に関する研究
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■ researchmap
researchmap
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■ 所属学会
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教育活動 |
■ 授業科目
1. |
セミナーA
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2. |
セミナーB
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3. |
微分積分学Ⅰ
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4. |
応用数学特論
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5. |
授業実践と評価の研究Ⅱ(数学科)
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6. |
数学の見方・考え方
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7. |
確率・統計
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8. |
確率・統計の基礎
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9. |
統計科学
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5件表示
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全件表示(9件)
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その他 |
■ ホームページ
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■ メールアドレス
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