3 papers
math.PR2026
Fractional binomial distributions induced by the generalized binomial theorem and their applications
Masanori Hino, Ryuya Namba
We develop a fractional extension of the classical binomial distribution and the associated Bernstein operator, formulated within the framework of the generalized binomial theorem…
math.PR2025
Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
Masanori Hino, Ryuya Namba
A fractional binomial distribution, introduced by Hino and Namba (2024) via the generalized binomial theorem, is a fractional variant of the classical binomial distribution. Buildi…
math.PR2025
On some properties of a positive linear operator via the Moran model in population genetics
Takahiro Aoyama, Ryuya Namba
We introduce a positive linear operator acting on the Banach space of all continuous functions on the unit interval via the Moran model studied in population genetics. We show that…