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Infinitely Divisible Distribution Mathematics
Stochastic Integral Mathematics
Riemann zeta function Mathematics
Integral Representation Mathematics
Euler Product Mathematics
Probability Distribution Mathematics
Multinomial Distribution Mathematics
Infinitely Divisible Mathematics

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Research Output 2007 2015

  • 40 Citations
  • 4 h-Index
  • 7 Article

Multinomial distributions in Shintani zeta class

Aoyama, T. & Yoshikawa, K., 2015, In : Japan Journal of Industrial and Applied Mathematics. 32, 1, p. 33-50 18 p.

Research output: Contribution to journalArticle

Multinomial Distribution
Riemann zeta function
Discrete Distributions
Probability distributions
Probability Distribution
3 Citations

Behaviors of multivariable finite Euler products in probabilistic view

Aoyama, T. & Nakamura, T., Dec 2013, In : Mathematische Nachrichten. 286, 17-18, p. 1691-1700 10 p.

Research output: Contribution to journalArticle

Euler Product
Infinitely Divisible
Characteristic Function
Riemann zeta function
Number theory
3 Citations

Multidimensional Shintani zeta functions and zeta distributions on R d

Aoyama, T. & Nakamura, T., Dec 2013, In : Tokyo Journal of Mathematics. 36, 2, p. 521-538 18 p.

Research output: Contribution to journalArticle

Riemann zeta function
Probability Distribution
Euler Product
Infinitely Divisible Distribution
Binomial distribution

Several forms of stochastic integral representations of gamma random variables and related topics

Aoyama, T., Maejima, M. & Ueda, Y., 2011, In : Probability and Mathematical Statistics. 31, 1, p. 99-118 20 p.

Research output: Contribution to journalArticle

Infinitely Divisible Distribution
Stochastic Integral
Integral Representation
Gamma distribution
Integrand

A new family of mappings of infinitely divisible distributions related to the Goldie-Steutel-Bondesson class

Aoyama, T., Lindner, A. & Maejima, M., 2010, In : Electronic Journal of Probability. 15, p. 1119-1142 24 p.

Research output: Contribution to journalArticle

Infinitely Divisible Distribution
Stochastic Integral
Range of data
Compound Poisson Process
Lévy Process