Toshio
Nakata
Large deviations of sums mainly due to just one summand for super-heavy tailed distributions
Bull. Inst. Math. Acad. Sinica (N.S.)
Vol. 18, (2023), No. 4, 437--449.
(article doi:10.21915/BIMAS.2023403
(Acad. Sinica))
Open Access
S. Kubo, T. Nakata, N. Shiraishi
The lost boarding pass problem: converse results
The Mathematical Gazette,
Vol. 107,
Number 569,
(2023),
234 -- 240.
(article doi:10.1017/mag.2023.54
(
Cambridge UP)) (pdf))
Toshio
Nakata
Characterisation of equalisation problems via random walks
The Mathematical Gazette,
Vol. 106,
Number 565,
(2022),
61 -- 67.
(article doi:10.1017/mag.2022.10
(
Cambridge UP)) (pdf)
Toshio Nakata
Large deviations for super-heavy tailed random walks
Stat. Prob. Lett., Vol. 180, 109240, (2022), 1--7.
(article https://doi.org/10.1016/j.spl.2021.109240
(Elsevier))
Toshio
Nakata
105.48
Approximations for the Feller games
The Mathematical Gazette,
Vol. 105,
Number 564,
(2021),
539 -- 543.
(article doi:10.1017/mag.2021.130
(
Cambridge UP))
(pdf)
Yuka Hoshiyama, Toshio
Nakata, Asuka Nomura,
Yuki Okochi
104.39
Buffon's needle on a square lattice
The Mathematical Gazette,
Vol. 104,
Number 561,
(2020),
543 -- 545.
(article doi:10.1017/mag.2020.117
(
Cambridge UP)) (pdf)
Toshio Nakata
Limit theorems for super-heavy tailed random variables with truncation:
Application to the super-Petersburg game
Bull. Inst. Math. Acad. Sinica (N.S.)
Vol. 15, (2020), No. 2, 123--141.
(article doi:10.21915/BIMAS.2020202
(Acad. Sinica)
) Open Access
Toshio Nakata
Coupon collector's problem with unlike probabilities
J. Classical Anal.
Vol. 14, Number 2 (2019), 177--180.
(article doi: 10.7153/jca-2019-14-13
(Ele-math, Publishing House Element d.o.o., Zagreb, Croatia)
) Open Access
Toshio Nakata
Exact laws of large numbers for
independent Pareto random variables
Bull. Inst. Math. Acad. Sinica (N.S.)
Vol. 12, (2017), No. 4, 325--338.
(article doi: 10.21915/BIMAS.2017403
(Acad. Sinica)
) Open Access
Toshio Nakata
A note on the asymptotics of the maxima for the St. Petersburg game
Stat. Prob. Lett., Vol. 129, (2017), 284--287.
(article doi:10.1016/j.spl.2017.06.010
(Elsevier))
Toshio Nakata
Weak laws of large numbers for weighted independent random variables with infinite mean
Stat. Prob. Lett., Vol. 109, (2016), 124--129.
(article doi:10.1016/j.spl.2015.11.017
(Elsevier))
Toshio Nakata
Limit theorems for
nonnegative independent random variables with truncation
Acta Mathematica Hungarica, Vol. 145 No.1, (2015), 1--16.
(article doi: 10.1007/s10474-014-0474-5
(Springer))
Toshio Nakata
Limit distributions of generalized St. Petersburg games
Stat. Prob. Lett., Vol. 96, (2015), 307--314.
(article doi: 10.1016/j.spl.2014.10.010
(Elsevier))
Toshio Nakata
The number of collisions for the occupancy problem with unequal probabilities
Advances in Applied Probability, Vol.46, No.1, (2014), 168--185.
(article
doi:10.1239/aap/1396360108
(Cambridge UP)) Open Access
Keisuke Matsumoto and Toshio Nakata
Limit theorems for a generalized Feller game
Journal of Applied Probability, Vol. 50, No. 1, (2013), 54--63.
(article
doi:10.1239/jap/1363784424
(Cambridge UP)) Open Access
Toshio Nakata
Necklace processes via Polya urns
Journal of Applied Probability, Vol. 46, No. 1, (2009), 284-295.
(article
doi:10.1239/jap/1238592130
(Cambridge UP)) Open Access
E. Ando, T. Nakata, and M. Yamashita
Approximating the Longest Path Length of a Stochastic DAG by a Normal Distribution in Linear Time
Journal of Discrete Algorithms,
Vol. 7, No. 4, (2009), 420--438,
(article
doi:10.1016/j.jda.2009.01.001
(Elsevier))
Open Access
Toshio Nakata
A Poisson approximation for an occupancy problem
with collisions
Journal of Applied Probability, Vol. 45, No. 2, (2008), 430--439.
(article
doi:10.1239/jap/1214950358
(Cambridge UP)) Open Access
Toshio Nakata
Collision probability for an occupancy problem
Stat. Prob. Lett. Vol. 78, No. 13, (2008), 1929--1932.
(article
doi:10.1016/j.spl.2008.01.061
(Elsevier))
Toshio Nakata
On the expected time for Herman's probabilistic self-stabilizing algorithm
Theoretical Computer Science, Vol. 349, No. 3, (2005), 475--483.
(article
doi:10.1016/j.tcs.2005.05.022
(Elsevier))
Open Access
Toshio Nakata
A remark on birth-and-death chains in a random environment
Bulletin of Fukuoka University of Education III,
Vol. 53, (2004), 1--6.
(article
https://libopac.fukuoka-edu.ac.jp/dspace/handle/10780/369
(Fukuoka U. of Educ.)) Open Access
T. Nakata, H. Imahayashi and M. Yamashita
A Probabilistic Local
Majority Polling Game on Weighted Directed Graphs
with an
Application to the Distributed Agreement Problem
Networks, Vol. 35, No. 4, (2000), 266--273.
(article
doi: 10.1002/1097-0037(200007)35:4<266::AID-NET5>3.0.CO;2-4
(
Wiley))
Toshio Nakata
An approximation of Hausdorff dimensions of
generalized cookie-cutter Cantor sets
Hiroshima Mathematical Journal,
Vol. 27, No. 3, (1997), 467--475.
(article
doi:10.32917/hmj/1206126964
(Project Euclid)) Open Access
Toshio Nakata and Munetaka Nakamura
On the Julia sets of rational functions of degree two
with two real parameters
Hiroshima Mathematical Journal,
Vol. 26, No. 2, (1996), 253--275.
(article
doi:10.32917/hmj/1206127360
(Project Euclid)) Open Access
International Conference Presentation
Toshio Nakata
Large deviations for super-heavy tailed random walks
10th International Workshop on Applied Probability (IWAP2023)
June 9, 2023, Thessaloniki, Greece,
(conference page)
(abstract file) Abstract page 117.
Toshio Nakata
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,
July 3, 2018,
Vilnius, Lithuania 2018
(conference page)
(abstract file)
Abstract page 272.
Toshio Nakata
The asymptotics of the maxima for the distribution of the generalized St. Petersburg game
10th Extreme Value Analysis Conference,
June 26, 2017,
Delft University of Technology (TU Delft)
Delft 2017
(conference page)
(abstract file)
Abstract page 57.
Toshio Nakata
Weak laws of large numbers for weighted independent random
variables with infinite mean,
World Congress in Probability and Statistics,
July 11, 2016, University of Toronto, the Fields Institute,
Toronto 2016
(conference page)
(abstract file)
Abstract page 82.
Toshio Nakata
Limit theorems for
nonnegative independent random variables with truncation
International Congress of Mathematicians, Seoul 2014,
Aug. 18, 2014,
Seoul, Korea (2014).
(conference page)
(program)
Abstracts page 425.
Toshio Nakata
The number of collisions for the occupancy problem
Proc. 8th World Congress in Probability and Statistics,
July 11, 2012,
page 169,
Istanbul, Tukey (2012).
(conference page)
Toshio Nakata
Integral transforms that preserve Schur convexity with an application to occupancy problem with collisions
Proc. 2011 Second International Conference on Networking and Computing, Osaka, 352--359 (2011).
IEEE computer society CS Digital Library
(article
doi:10.1109/ICNC.2011.69,
Dec 1, 2011,
(conference page))
Toshio Nakata
On the number of collisions for the balls-and-urns problem with unequal
probabilities
Proc. 7TH INTERNATIONAL CONFERENCE ON LATTICE PATH COMBINATORICS
AND APPLICATIONS,
July 5, 2010, Siena, Italy, 209--212 (2010).
(conference page)(Soccer in Siena)
E. Ando, M. Yamashita, T. Nakata, Y. Matsunaga,
The Statistical Longest Path Problem and Its Application to
Delay Analysis of Logical Circuits
Proc. ACM/IEEE International Workshop on Timing Issues
in the Specification and Synthesis of Digital Systems (TAU'02),
134--139 (2002).
(article(ACM))
doi:10.1145/589411.589440
T. Nakata, and M. Yamashita
Some Upper
Bounds on Expected
Agreement Time of a Probabilistic Local Majority Polling Game
Carleton Scientific,
11, 293--304 (2001).
(pdf)
(SIROCCO 2001)
(conference page)
T. Nakata, H. Imahayashi and M. Yamashita
Probabilistic Local
Majority Voting for the Agreement Problem on Finite Graphs
Lecture Notes in Computer Science 1627,
330--338, (1999).
(doi:10.1007/3-540-48686-0_33
(Springer))
COCOON 99, Tokyo